Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://num-anal.srcc.msu.su/list_wrk/ps/b3.ps Äàòà èçìåíåíèÿ: Tue Dec 17 12:59:12 2002 Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 19:56:48 2012 Êîäèðîâêà:

########## ############### ########### #####
#.#. ##########
######´################# ############## #####
#.#. ########, #.#. ######?##
################# #########
## ####
################ #########
# ########### #############
########## ############### ###########
2001

1
### 517.98; 517.94; 530.145.6
##########: ###### ######´############## ####, #########
#.#. ########, ###### ######´############## ####, #########
#.#.#######
######## #.#., ######?## #.#.
################# ######### ## #### ''################ ######### #
########### #############''. -- #.: ###, 2001. ´ 225 #.
################# ######### ########## #############
####### ########## -- ###### ######### ##########, ###´
### ####### ########´#######, ################ #########
# ######### ############# # ############ ###### #######
################ ######### # ########### #############.
######## ##### ######### ########## ###### ############
##### #### (######## ###### ################).
############# ### ######### ####### ###### # #######´
###, ################## # ####### ############### # ###´
####### ##########.
#### ###, 2001

###########
########### ######## ###### ############ ################ ######### #
########### ############# ########### ########## ###### ############´
### ####### -- [203], [75], [1383], [2052] # #. #. ### #### ####### ########,
### # ##### ####### ###### ## ############### ###### ## ######### ##´
######### ##################### ####### ##### ######### ######### # ##´
######## ############## ###########. ### ######### ##### ############
######### ######## ######### #### ########## ######.
###### ########## ######### # ##### ######, ###### ###### ######
### ###### #### ## ###### ################ ######### # ######### ###´
########## -- [76], [77], ####### ######## ########## ## ########### #### ##´
####### #########.
##### ##### 1991 #### # #### ######### ###### ###### ########### ####´
#### # ########### ####### ########## ##### ##########. ##´########, #####
[175] #### ######### ########## ########## ## ###### C 0 ´#########, ####´
### ###### ###### ####### ######### ######## ##### ########## #########,
# #########, ############## ###### ############## # ########### # ##´
##### #### ## ######### ######## # ###### ############ ####### ##### ##´
###, ####### ######## ########### ######## ### ########## # ####### ##´
############# ## ########## # ######.
##### ####, ######### ######### ######## # ########## ############
####### ## ############ ######### ########## #####, ### ######### ###´
####### ########### #######.
####### ######## #### ######## ####### ################## ######### ##
###### ######### ########## # ####### ########´#######, ####### ######´
### ## ############ #########, # ########, ####### # 1983 ####, #.#. ##´
### ########## ###### [203], ######### ##### [75] ## ########### ########
####### ###### ##### ############, ######### # #######. ###### [203] ##
######### ########## ###### ########## ## ####### ########´########, C 0 ´
###########, ################## ########### ##########, # ##### #########
2

########### 3
###### ##### ## ########## ####### ################ ######### # ########´
### #############. ####### ######### ####### ###### #################
######### ########## ######## ###### ######## ### ####### ######### #####´
#########.
### ######## ################## ######### ############## ######### ##´
########## ######## #####, Zentralblatt f?ur Mathematiks, Math. Rewiews, #
##### ########### #### Internet.

##########
[1] ############ #.#. ## ########### ###### ###### ########## ##########
############ ######### // ###. ## ## ####.´ 1987, N 1.´ p. 33´36.
[2] ############ #.#. ############# ############ ###### #### ##### ###´
####### ######### ####### // ####.´ ############### ##´#.´ ###. ###. #
###### , N 09´83.´ 28 #.
[3] ####### #.#. # ######### ####### ######### ############## #####, ###´
######## # ###### ############ // ### # ##.´ 1984, 24, N3.´ #. 339´347.
[4] ###### #. ###### #### ### ######## ######### # ######## ########´
#### ################ ####. // #. : ##### , 1978.
[5] ####### #.#. # ############ ######## ################ ######### ##´
####### ############ # ################### ############## // ###. ###.
######. ´ 1989, 41, N 1.´ #. 86´88.
[6] ######## #.#. ############## ###### ######## ###### // #####. #######.´
1988.´ 288 #.
[7] ######## #.#., ########### #.#. ## ############ # ########## ##########
#### ######## ####### ############# ### ############## #########. //
###. ###. #. ´ 1979, #.31, N 6.´ #. 627´634.
[8] ######## #.#., ########### #.#. ## ############ # ########## #######´
### #### ######## ####### ############# ### ############## #########
# ####### ###########. // ###. ###. #. ´ 1980, #.32, N 3 ´ #.291´300.
[9] ##### #.#., ###### #.#., ##### #.#. ############# ######### ######´
####### ### ########## ####### ##### # ####### ############## ####´
##### P###### // ######## ###### ## ## ###. ########.´ 1987, N 257 ´
#. 3´15.
4

################# ######### 5
[10] ######## #.#. , ####### #.#., ######## #.#. ############# ###### ##´
##### ############ ##### // #. : #####, 1988. ´ 286 #.
[11] ######## #.#., ######## #.#. ######### ####### ########## #######´
####### ############# ### ####### ############ ######## ##### // ###.´
###. #.´ 1987, 53, N 5.´ #. 843´851.
[12] ############ #.#., ######## #.#. # ############ ###### #############
########## ########## ####### ####### // ###. ##.´ 1989, 180, N 1.´ #. 101´
118.
[13] ######## #.#. ########### ########## ######### #################
######### // ####. #####. # #######. #######.´ 1987.´ #. 125´127.
[14] ###### #.#., ########### #.#. # ############ ############ ##########´
#### ######### // ###. #######.´ 1972, #.11, N 4.´ #. 409´419.
[15] ######### #.#. ############## ##### ############# ####### #########
######## ############ ######### // ###. ##.´ 1987. ´133, 1. ´#. 9´10.
[16] ######### #.#., ########### #.#. #################### #########
########## ######### ###### // ###### #####., #####. ####. # ## ####.´
1988,´ N 50.´ #. 9 ´ 16.
[17] ######## #.#. ######### ################### ########### ##########
########## // ##. #####. ####. ###. ####. ######### ###. ## ####, ####.
###. ###. # ###### 20.01.89, N 487.´ 1389.´ #. 307´313. ####.: 2 ####.
[18] ####### #.#. ###### ## ###### ############# ´ #.: #####, 1965.
[19] ####### #.#. # ##. #### ############## # ########### ######### //
###########: #####, 1986. ´264 #.
[20] ######### #. # ############ ############ ############## ######### #
############# ####### ####### // ###. ## ####. ### .´ ###. ###.´####.,
###. # ######. #### .´ 1989 .´ 3 .´ #. 3´13.
[21] ######### #. ## ##### ##### ####### ########## ##### ####### #######
############# ### ############## #########. // ###. ## #### ###. ###.´
####., ###. # ####. #. ´ 1987, N4 ´ #. 3´13.
[22] ######### #.#., ########### #.#. ########## ############ ##########
##### ######´######## ### ################ ######### # ######### ###´
######### # ######### ## ####### ########## // ###. ## ####, ###. ###.´
###., ###. # ####. ´ 1982, N 3 ´ #. 3´9.

6 ################# #########
[23] ######### #.#., ########### #.#. ########## ############ ##########
##### ######´######## ### ############## ######### // ###. ## ####,
###. ###.´###., ###. # ####. ´ 1981, N 6 ´ #. 10´16.
[24] ######### #.#., ########### #.#. ###### ############ ######## #####´
##### # ############ ########## #### // ####. ## #### ´ 1984, #. 275, N
6 ´ #. 1289´1291.
[25] ####### #. ## ##### ##### ##### ################# ########## ####´
####### ####### ####### # ######### ########## ####### # #############
###### // Lucr. Semin. Mat. Fiz. Inst. Politehn. Trian Vuia, Timisoara.´ 1982.
´146 ´c. 13´16.
[26] ####### #. ############ ####### ### ####### ## ########## ##########
####### # ##### // Bull. Sci. Tehn. Inst. Politehn. Temisoara. Mat. Fiz.´ 1982.´
27, 1. ´ c. 13´20.
[27] ##### #.#. # ##### ############# ####### ########### ####### # ####´
##### ####### ############# ################ ######### // #####.
####. # ### ########.´ 1988, 22, 1.´ #. 60 ´ 61.
[28] ##### #.#., ##### #.#. ########## ############ #########.´ #.: #####,
1989.´ 294 #.
[29] ##### #.#., ##### #.#. # ######### ### t !1 ####### ########## ###´
######### #########, ######### ## #########. // ####. ## #### ´ 1987,
295, N4 ´ #. 786´790.
[30] ###### #., ########## ##. ############ ######### ## ####### ## ## ##´
##### ######### ############### ######### # ######## ########### # ##´
###### ############ // ###### #######. ##########. #######.´ 1987, 25,
##. 3,´ #. 129 ´ 135.
[31] ###### #.#. ###### ########### ########## ################ ######´
### # ######### ############ # ## ########## # ########## ######## #
############### # ########### ############### ############## # #######´
#### ####### // ######## ########### ###### ######. ######## ´ ######,
1984 ´ #. 63´75.
[32] ###### #.#. # ####### ######## ###### #### ### ######### # ##########
########## // ####. #########.´ 1987, 23, N2.´ #. 339´341.
[33] ###### #.#. # ######### ####### ###### ###### ########### #########
####### #### // ####. ######### ´ 1985, 21, N 11 ´ #. 1991´1993.

################# ######### 7
[34] ###### #.#. ## ##### ###### ########### ######### // #########.
#########.´ 1983.´ 19, 3.´ c. 516´518.
[35] ###### #. #. ## ############ ###### ###### ########## #### // #####.
´###. #########. ##### ´1989. ´#. 100´109.
[36] ###### #. #. ###### ############ # ########### ####### ######### ####´
### ########## ########## ####, ################ ############## ####´
##### // ###. ###. # ###### 06.07.88 ´ N 6043´1388, ##### ´ 1988.´ 92#.
[37] ###### #.#. ########## ########## # ################ ######### # ##´
####### ############ // ####. ## ####.´ 1981.´ 258, 3. ´ #. 521´525.
[38] ###### #.#. ###### ############ ########## #### # ############ ######
// ### #### ´ 1988, 298, N4.´ #. 275´279.
[39] ###### #.#. ############ ########## #### ### ############## #########
# ############ ######. ##### I. // ####. ####. ##### # ####. #####. # #####.
####. ####### ##### ###. ###. ´ 1987, N1 ´ #. 69´75.
[40] ###### #.#. ############ ########## #### ### ############## #########
# ############ ######. ##### II // 1987 ´ #. 29´34.
[41] ###### #.#., ########### #.#. # ###### ############ ####### #######
############ ########### ###### ####. // ### ## #### ´ 1990, 312, N 4
´ c. 777 ´ 782.
[42] ###### #.#., ####### #.#. ########## # #### ##### ########### #######
######### ##### // ###. ###. ###### ´ 1978, 19, N1 ´ #.3´9.
[43] ###### #.#., ####### #.#. #### ##### ########### ####### ###### ####
### ######### ############## ####. // ###. ###. ###### ´ 1979, 20, N6 ´
#. 1198´1205.
[44] ########### #.#. ########## ##### ### ####### ############ ########´
### ##### #### // ####. ######### ´ 1971, #. 7, N10 ´ #. 1876´1885.
[45] ########### #.#. ########## ###### ####### ############ ##### ####
### ############ ######### # ########### #´############ // ####. ####´
##### ´ 1972, ### 8, N9 ´ #. 1661´1668.
[46] ########### #.#. # ####### ########### ######## ############ ######
#### ### ############ ################# ######### ####### ####### //
####. ######### ´ 1972, ### 8, N5 ´ #. 881 ´ 890.

8 ################# #########
[47] ######## #.#. ############# ###### ########## # ################ #####´
###### ####### // ###. ##. 1984. #. 124(166), N 1(5). c. 68´95.
[48] ######## #.#. ############# ###### ######## ##########. #######.´ ##´
###. #######. ##´##.´ 1987.
[49] ##### #. #., ####### #. #., ############ #. #. ######### ##########
#´###### ####### ###### ###### ################ ######### ####### //
######### ####### ###### #####. ####### # ## ####. ´ ####. ´1988. ´ #.
12´23.
[50] ##### #.#., ####### #.#., ####### #.#. ############ ########### ###´
########## ######### // ###. ###. ###### N4261´#87, ######, 1987, #.
28´29.
[51] ### ##., ######## #., ####´#### #. ############ ######## ###### #####´
###########. ´#.: ###, 1989.´ 310#.
[52] ###### #.#. # ############ ################ ######### #############
####### # ############### ############ ############## // ###. ## ##´
###. ###. ###.´####. ###. ####. ´ 1988. ´ 8, 5. ´ c. 16´20.
[53] ##### #.#., ######## #.#. ###### #### ### ######### ##### #######´
##### ######### # ######### ############ // #######. # #####. ´ ######´
#####, 1987. ´ 1, 1. ´ c. 16´27.
[54] #### #., #?#####?## #. ################ ############. ########. #:###.´
1980.´ 264 #.
[55] ###### #. #., ####### #. #. ########## ###### ########## ### ##########
########### ####### ##### ## ######## ########### ###### #############
#### //###. ###. ###### 11. 07.89, N 4596´1389.´#######. ´1989, ´43#.
[56] ###### #.#., ####### #.#., ######## #.#. ###### ###### ######## #####´
### # ########### ########## ############### ################ # ###´
####### ##### // ###. ###. ###### 28.10.87 N7540´#87, ######, 1987, 19c.
[57] ########## #.#., ####### #.#. # ############### #########, ########´
#### ########### ############ ########## # ############# ###########
############# // ###. ###. ###### 21.03.89.´ N 1795 ´ #89, #######, 1989,
13c.
[58] ######### #.#. ###### ####### ########### ###### ############ ###´
############# ######### // ###########: #####, 1988 ´ #. 157.

################# ######### 9
[59] ######## #., ######## #. ########### ####### # ######### ##############
########. ´ #.: ###, 1982. ´ 511 #.
[60] ###### #.#. ######## ###### ### ############### ######### # ###### ####
### ######### ####### ############ ######### # ####### ####### #####´
### ######### // ### ####.´ 1988, 299, N 4.´ #. 782 ´ 784.
[61] ######## #. #., ####### #. #. ######## ######### ########## #######
//###. ###. #.´ 1988, 29, N 5 ´ #. 59´70.
[62] ####### #.#. ######## ###### ############## ######. // #.: #####, 1988.´
130 #.
[63] ######## #. ###### ####### ######## ########### ############ ##### #
############ ############# // #####, ###, 1982.´ 110 #.
[64] ######## #. ## ########### ###### ######### ############# # ######
######## // ##. ###. ####. ##´##, 1987, N762, #. 3´8.
[65] ######## #., ############ #.#. ############ ######### # ############
####### // #.: #####, 1986.´ 181 #.
[66] ###### #.#. ########### ####### ######. ####: #### #####, 1986.´ 272 #.
[67] ###### #.#., ########## #.#. ######### ##### ############# ###### //
####. ## ####. ###.´ 1987, 30, N 12.´ #. 770 ´ 772.
[68] ######## #.#. ############ ############# ###### ### ######### # ###´
######### ############## // ###. ###. #.´ 1988.´ 29, N 4.´ #. 44 ´ 53.
[69] ##### #. ############## ###### # ###### ############# # ######### ###´
#### // #.: ''###'', 1974.´ 126 #.
[70] ######## #.#. ######## # ###### ########### ################ ######´
### // ######## .´ ####.´ 1988.´ 34 #.
[71] ######## #.#. # ############ ############ ########### ##############
######### # ########## ########## // ####.##´#.´ 1978.´ 14.´ 8.´ #. 1507´
1510.
[72] ######## #.#. # ####### ######### ############## // ####, ########.´
1987.´ 14 #.´ ####. 6 ####. (###. ###. # ###### 26.02.87, 1681 ´ #87).

10 ################# #########
[73] ######## #.#. ############ ######## ##### ########### ####### // ###´
#####. ###. ###. ##´#.´ ########, 1988.´ 9 #. ########. 7 ####. (######## ###.
# ###### 26.02.88, 1573´#88).
[74] ######## #.#., ########## #.#. ############ ############ ###########
############## ######### # ####### #############// ########.´####.´
######## ############ # ###### N´6621´#88.´ 34 #.
[75] ######## #.#., ##### #.#., ######## #.#. ########## ##########, #######
########´####### # ######## ################ #########. ##### #####
# ####### #### (###.############## ######) // #.: ######. 1990. #.28.
#. 87´202.
[76] ######## #.#., ######## #.#. ################ ######### # #########
############. ###### ######### ##########. ######.´ ############ ###.´
1996. ´ 164 #.
[77] ######## #.#., ######## #.#. ################ ######### # #########
############. ###### ####### ########´#######. ######.´ ############
###.´ # ######.
[78] ########## #.#., ###### #.#. ########### ####### ############# # #####´
### ####### # ########### ############## // #####. ####### # ######.´
#######.´ 1988.´ #. 11´115.
[79] ############ #.#. # ################## ########## ############# ###´
######### ######## # ########### ####### // ### # ##.´ 1988, 28, N 6.´
#. 809 ´ 814.
[80] ######## #.#., ######## #.#. ######### ## ############# ####### ###´
############# ########### ######### // ###. ###.#. ´ 1983. ´ 35, 4. ´ c.
489´493.
[81] ######## #.#. ## ######## ############## ####### # ############ ##´
######### ##### #### // ###. ###. # ###. ###### 20.07.87 N2091´##87,
#######. ##´#, #######, 1987.´ 17 #.
[82] ###### #.#. # ######### ####### ###### ###### #######´################
######### // #######. #####. ###. # ####### ###. # ###. #. 1988. #. 23´52.
[83] ###### #.#. # ######### ####### ######
###### ##########´############### ######### // ###. ###. # ########.
###.´ ####.´ 1988, N 10.´ #. 6´ 11.

################# ######### 11
[84] ############ #.#., ####### #.#., ####### #.#. ###### ######## #######´
### ########## #### ### ###### ####### ###### ###### ######### # ########
############ ##### // ######. # #####. ###.´ 1988, N 64.´ #. 49 ´ 58.
[85] ######## #.#., ######## #.#. ########## ###### ####´####### # ######´
######## ############# ######## ####### ############## ###### // ###
#### ´ 1988, 298, N4 ´ #. 784´787.
[86] ## #### ####, ##### #.#. ############ ######## ##### #############
### ################### ######### // ###### #####., ####. ####. # ##
##########. #######. ´ 1987. ´ 47. ´ c. 36´41.
[87] ## #### ####. ###### #######´########## ### ##### ############# ####´
######### ######### # ############# L p // ####. #####., ####. ####. # ##
####. ´ #######, 1988.´ 49.´ #. 35´42.
[88] ####### #.#. # ########### ############# ####### #################
########## # ############# // ###. ###. # ## ###### 28.04.88, N 1012 ´
## 88 ´ 21 #.
[89] ####### #. #. # ###### #### # ######## ######## ####### ### ######
############# ######### // ###. ## ## ###. ###. ###.´ ####. # ###. #. ´
1987, 8, N3.´ #. 30´34.
[90] ########### #.#. # ########## ##### ############ ####### ### #######´
####### ######### // ######. ##. #####. ##. ####. ########. ##´#.´ 1987, N
8.´ #. 41 ´ 45.
[91] ####### #.#. ###### #### ### ######### ################ #########
# ############ ############## // #####. / ##´# ###. ## ## ####. ´
###########, 1987. ´ 34. ´ c. 3´20.
[92] ##### #.#. ###### #### ### ######### ################ ######### #
############ ############## // ###´# ###. ## ## ####. #####.´ 1987,
N 34.´ #. 3´ 20.
[93] ######## #.#. ##### ########## ############ ##### ####### ##########´
###### ######### # ######## ############ // ####### ####### ######.´
####.: ####### #####.´ 1983.´ #. 258.
[94] ######## #.#. # ########## ############# ######### ############# ##´
######## // ####. ####. # ### ####. ´ 1988. ´ 22, 1. ´ c. 62´63.

12 ################# #########
[95] ######## #.#. ## ##### ######### ####### ################ #########
# ######### ############ // ###. ###. #.´ 1989.´ 41, N7.´ c. 898´905.
[96] ######## #.#. ###### ####### ###### ### ###### ################# ####´
##### ####### ####### # ##### ############## ############### #####´
####### ############## // #######. # #####. ###. ####. ######. ######´
###. ´ #########, 1986. ´ #. 7´11.
[97] ###### #.#., ######## #.#. ######### ## ############# ####### ######
############ ######### # ######### ############. // ###. ###. ######
30.10.87 N7667´#87, #######, 1987.´ 11 #.
[98] ####### #.#. ######## ############### ######## # ######### ####### ##´
###### ####### // Proc. Int. Congr. Math. Bercley. Calif. Aug. 3 ´ 11, 1986.
Vol. 2.´ Prov.´ 1987.´ p. 1353 ´ 1361.
[99] ########## ##. ########## ######## ########## # ## ##########. ####.:
#### #####. ###. ### ###. #########. 1989.´ 347 #.
[100] ###### #.#., ######## #.#. ########### ############# # ######## #####´
####### ############# ############# #######. // ###. ##. ´ 1987, 134, N3
´ #. 306´352.
[101] ########## #.#. ########### ############ ###### # ###### ## #######.
// 1987.´ #. 15´36.
[102] ######## #.#., ######## #.#. ######### ###### ### ###############´
########### #########. ####: ####### #####. ´ 1984. ´ 283 #.
[103] ######## #.#., ###### #.#.
######### ######## ####### ###############´########### ######### //
###### ###. ####. ´ 1989.´ 44, 3(267). ´ #. 55´91.
[104] ######## #.#. ###### ####### ### ###############´############ ####´
##### ####### ####### ## ####### // ########## ####### ####. ####### #
####### ###. ######. ´ 1987. ´ #. 89´97.
[105] ######## #.#. # ############# ############### ### ################
######### ####### ####### ################ #### # ######### ########´
#### // ##. ####. ####. ###. ###### ##´## ###. ## ####, ####.´ ###. ###.
###### 20.01.89, N 487 ´ #89.´ #. 149 ´ 153.´ ####. 4 ####.

################# ######### 13
[106] ######## #.#. ## ############### ######### ####### ################
######### # ######### ############ // ###### ###. ####. ´ 1987. ´ 42, ###.
4. ´ #. 162.
[107] ######## #.#. ######### ## ############# ####### ###############´
############ ######### ####### ####### # ######### ############ // ###.
###. #. ´ 1988. ´ 40, 5. ´ #. 629´631.
[108] ######## #.#. ######### ## ############# ####### ############ ######´
### // ####. ## ####. ´ 1985. ´ ###. #. ´ 9. ´ #. 13´15.
[109] ######## #.#. ######### ####### ############ ######### ## ##########´
### // #######. ####. #.#.#.#. ´ ####, 1988.
[110] ######## #.#., ####### #.#. # ######## ############ ######### #
########### # ######### ############ // ######. ###### #########.´
########. #########. ´ ####, 1986. ´ #. 5´10.
[111] ######## #.#., ##### #.#. ###### #### ### ###### ###############´
############ ######### ########## ####### // ####. ####. ###. ###. ###. ´
####.´ 1983.´ #. 63´66.
[112] ########## #.#., ######### #.#. # #######´######## #######, ###########
###### #### ############# ########## // #######. ########. ##´#. ####´
###, 1983. 6 #. ######## 6 ####. (######## ###. # ###### 8 ####. 1984 #.,
783´84 ###.).
[113] ########## #.#., ######### #.#. ######### ######## ####### ##########´
###### #########, ########## ######## ####### // ###. ###. # ######
01.07.88, N 5294 ´ #88.´ #######.´ 19 #.
[114] ########## #.#., ######### #.#. # ############# #######´#######, ####´
##### ####### #### ##### #### ############# ########## // VII #####
## ###### ########## #####. ##´###.´ ####, 1983.´ #. I.´ c. 63´64.
[115] ########## #.#., ######### #.#., ######## #.#. # ##### ##### #########
######### ######## ################ ######### # ######### ########´
##### // ###. ''###. ###. #.'' ###########, 1985. 13 #. ######## 10 ####.
(######## ###. # ###### 12 ###. 1985 #., 2479´85 ###.).
[116] ####### #.#. ################ ######### dx=dt = Ax # ######### ###´
######### // ########. ####### ## #####. #############.´ ####, 1986.´ #.
64´68.

14 ################# #########
[117] ###### #.#., ###### #.#., ####### #.#. ############ ############ ##´
######### ############## ######### # ############# ######## # #####//
##### ########### ######.´ 1973.
[118] ####### #.#. # ##### ###### ########## ########## ########## #### ##´
#### ####### ######### ####### ############# ### ######## ############
################ ######### // ### # ##, 1975, 16, N4 ´ #. 931´945.
[119] ####### #.#. # ########## ########## ########## #### ###### #######
######### ####### ############# ### ######## ############ ########´
######## ######### // ### ####, 1974, 217, N2.´ #. 264´267.
[120] ####### #.#., ######## #.#. ## ############ ####### ########## ####
### ############## ######### // ### #### ´ 1987, 297, N3 ´ #. 531´534.
[121] ######## #.#., ##### #.#. ############ ####### ################
######### # ######### ############.´ #.: #####, 1970.´ 534 #.
[122] #### #.#. ############# ####### ######## ################ #########
# ########## # ######### ############ // ###. ############.´ 1989.´ 106.´
#. 59´66.
[123] ####### #.#. ########## ########## ######### # R 1 // ###. ###. ######
18.03.87, N 1936. #87.
[124] ####### #.#. ########## ########## ######### # ########### ########´
###### ## #######. // ###. ###. # ###### 09.11.87, N7843´#87, #######,
1987.´ 16 #.
[125] ####### #.#. ########## ########## ######### # ########### ########´
###### # ################. // ###. ###. # ###### 05.11.87, N 7747´#87,
#######, 1987.´ 56 #.
[126] ######### #.#., ####### #.#. ##### ######## ######## # ####### #######
################ ######### # ##### ######### ## ######## // ####.
######.´ ######.´ 1988, N 139, #. 126 ´ 134.
[127] ####### #., ##### ##. ######## #########. ##### ###### . #.: ##´## ##.
###. 1962.´ 895 #.
[128] ########## #.#. ## ############ ######### ############# // ######
##########.´ #########.: 1985, N 15.´ #. 120´134.

################# ######### 15
[129] ####### #.#., ####### #.#., ######## #.#., ######### #.#. # ##########
########## #### ###### ####### ########## ### ######### ######## ##
########## ######## // ##´# #####. ###. ## ####. ########.´ 1988, N
46.´ #. 1´ 16.
[130] ####### #.#., ##### #.#. ## ############# ######## ########## #####´
###### ####### # ####### ######## //######. ## #######´ #############´
### ########## (######). ´1989.´N21.´c. 240´244.
[131] ####### #.#., ########## #.#. ############# ########### ##### ## ####´
######### ########### ### ########## ####### ## ############### ###´
####### # ########### ######## ####### // ###. ###. ######, ######,
1987, N 1535, #87. 48 #.
[132] ###### #.#. ######## ################ ######### ######## #### // #.
##### .´ 1984.
[133] ######### #.#., ####### #.#., ######### #.#. ## ############# ########
############ ###### // ### ####.´ 1988, 299, N 4.´ #. 832´ 835.
[134] ####### #.#. ############### ####### ###### #### # ########## #######´
### ########## # ######### ############ // ####### ##### ###########
############### ##´##.´ 1984.´ N 45.´ #. 22´29.
[135] ######## #.#. ## ##### ############ ###### ### ############ ##########´
##### ######### # ######### ############ // ### #####.###, 1981, 37, N9.
´ #. 7´9.
[136] ####### #.#. ###### ######## ########## # L 2 ###########´##########
#### ### ############## ######### //#.######.#####. # #####.###. 1978.
#.18. N6. #.1454 ´ 1465.
[137] ####### #.#. ###### ######## ########## # V 2 (Q T ) ###########´
########## #### ### ############## ######### //#####. ####.##´##.
###.15.######. #####. # ######. 1980. N1. ´c. 27 ´ 35.
[138] ####### #.#. # ######## ########## ###########´########## ##### # ###´
########### ########## ### ############## ######### //#.######. ##´
###. # #####.###. 1980. #.20. N2.´ c. 422 ´ 432.
[139] ####### #.#., ######## #.#. # ###### ####### ########### # ########´
##### ########### ########### ####### ####### ######### ###########´
##### //####. ## ####. 1983. #.272. N6. #.1306 ´ 1311.

16 ################# #########
[140] ####### #.#., ######## #.#. ###### ###### ########### ######### ####´
####### ####### ####### ########### ######### ################ //##´
###.##. 1985. #.128 (170). N12. #.530 ´ 544.
[141] ####### #.#. ###### ######## ########## ###########´######## #######
### ############### ######### ####### ####### //######.######## # ##´
##### /### ###. #.#.#######. #.: #####. 1991. ###.8. #.116 ´ 167.
[142] ####### #.#. ###### ##### ########### ########### ########## #######
####### ######### ######### # ####### ## ########### ######## // #####.
#######. 1992. #.51.N3. #.140 ´ 142.
[143] ####### #.#. ########### ###########´########## ##### # #########´
##### ########## ### ######### ######### // #####. #######. 1992. #.51.
N4. #.23 ´ 35.
[144] ####### #.#. # ######### ###########´######### ###### # ###########´
######## ########## ### ############### ######### ####### #######
//#.######. #####. # #####.###. 1992. #.32. N4. #.542 ´ 549.
[145] ####### #.#., ####### #.#. ###########´######## ###### ### ###### # ##´
########## ########## ############# ####### # ###### ######### ######
//#####.#######. 1996. #.60. N1. #.138 ´ 143.
[146] ####### #.#., ####### #.#. ########### ###### ########### ######
########´########### ###### ### ############ ######### #############´
### //#####.#######. 1996. #.60. N2. #.185 ´ 197.
[147] ####### #.#., ####### #.#.###### ###### ######### ###########
########´########## ####### ### ############ ######### #############´
### //###.#####. #####. 1997. #.41. N4. #.51´65.
[148] ####### #.#., ####### #.#. ###### ###### ########### ######### ####´
### ########### ### ######### ################ //#.######. #####. #
#####.###. 1999. #.39. N3. #.472 ´ 491.
[149] ####### #.#., ########### #.#. ######### ###### ###########
###########´######## ############# ##### ############ ########## ##´
############## ######### //#####. ###. 1999. N.6. #.33´45.
[150] ###### #.#. ########## ###########, ########## # ########### #########
// #####. / ###########: ##´# ###.´ 1981.´ 36 #.´ ###.

################# ######### 17
[151] ###### #.#. ################ # ########## ######### ######## #######´
### // #####. / ###########: ##´# ###.´ 1981.´ 45 #. (###.).
[152] ###### #.#. ########## ######## ########## # ######## ######## ###´
######### // ###### ########## # ############## #############.´ #.: ##´
###, 1977.´ #. 121´153.
[153] ###### #.#. ########## ########### ########## ##########. I. #######´
### ######### // ##. ##´## ###. ## ## ####.´ 1987.´ 7.´ #. 117´131.
[154] ###### #.#. ########## ########### ########## ##########. II. #####´
##### ######### // ##. ##´## ###. ## ## ####.´ 1987.´ 9.´ #. 159´182.
[155] ###### #.#., ##### #.#., ###### #.#. ###### ######## ############ #####
# ## ########## // #.: #####, 1978.´ 206 #.
[156] ###### #.#., ########## #.#., ######## #.#. ###############´
########### ######### # ############ ###### // #. #####.´ 1995.
[157] ########### #. #. ## ############ ########### ########### ###### //
################ #########. ´ 1988, 24, N8. ´#. 1324´1338.
[158] ###### #. ############## ######.´ #.: ###, 1967.´ 624 #.
[159] ########### #.#. # ######### ####### ###### #### ### ################
###############´############ ######### ####### ####### // #########.
#########.´ 1987.´ 23, 3.´ c. 493´499.
[160] ########### #.#. ## ############# ############### ###############´
########### ######### ####### ####### // ### # ##.´ 1987.´ 27, 8.´ c.
1154´1165.
[161] ########## #.#. # ########## ######### ####### ###### #### ###
###############´########### ######### ####### ####### //###. ##. ##
###. ###. ###.´####. # ###. #.´1987.´8, N6.´ c. 28´34.
[162] ####### #.#. # ########## ###### ####### #######´########## ######
#### ### ###############´############ ######### ############## ####
####### ####### // ###. ###. ###### 05.09.77, N4051´77 ###., ####, 1977,
#. 39.
[163] ######## #.#. ############## ####### ######## ##### # ######### ###´
########## // ########.´ #######.´ ###.####. #####. ###.´ 1988.´ 30 #.

18 ################# #########
[164] #### #. ###### ########## ######## ##########.´ #.: ###, 1972.´ 740 #.
[165] ############ #.#. ######### ###### ### ######### ####### ####### #
########### ############# // # ##. ############ ###### ########## #
################ ######.´ ####.´ 1984.´ #. 92´100.
[166] ####### #.#. # ########## ################ ####### #### ######´
######## // ### ####.´ 1990.´ N 11.´ #. 9´12.
[167] ####### #.#. ## ############# ################# ####### #### ######´
######## // #####. ## ####.´ ##´# ###.´ 1988.´ 88.45.´ c. 34´38.
[168] ####### #.#. ############## ########## ################# ####### ####
######´######## // #####. ## ####.´ ##´# ###.´ 1988.´ 88.45.´ #. 24´33.
[169] ####### #.#., ######## #.#. ################# ####### #### ######´
######## // #####. / ## #### / ##´# ###.´ 1987.´ 68.´ c. 32´52.
[170] ######### #.#. ###########´########## ###### ############# #######
############# ###### ### ############ ############### ######### // ###.
###. # ###### 29.04.88, N 3921´#88, #######.´ 1988.´ 8 #.
[171] ######### #.#., ###### #.#. ###### ############ ###########´
########## ####### ### ############ ############### ######### // ###.
###. # ###### 03.06.88, N 4414´#88, #######.´ 1988.´ 12 #.
[172] ###### #.#. ####### ###### ### ###############´############ #########
########## #### // #########. #########.´ 1983.´ 19, 8.´ c. 1427´1436.
[173] ###### #.#. #########´
### ####### ###### ### ###############´############ ######### #######
####### // ### ####.´ 1984.´ 280.´ 5.´ c. 1055´1058.
[174] ###### #.#. ########### ####### ######
### ###############´########### ######### ########## #### # ## ###´
####### // ###. ##.´ 1984.´ 125, 1.´ c. 19´37.
[175] ####### #. # ##. ################### ##########. #.: ###. 1992.´ 351 #.
[176] ######## #.#. ## ############### ############## #################
######### # ######## ########### # ############## ##############
# ######### ############ // ###. ###. ######, 1987, 39.´ N 4. ´ #. 524´526.
[177] ###### #.#. ######### ######## ########## ################ #########
// #####. ## #### , ####.´ ##´# ###.´ 1985.´ 48 #.

################# ######### 19
[178] ###### #.#. ###### ####### ### ################ ######### #######
####### # ########### ############# // ###. ###. ######.´ 1985.´ 37.´
N 2.´ #. 256´260.
[179] ######### #.#., ####### #.#. #########, ########### #############
########## ####### ####### // ########## ####### ############### ###´
#### # ####### ###. ######.´ 1987.´ #. 17´36.
[180] ######### #.#. ##### ##### ## ############ ############ ##########
#### # ############### ########## #########, ##################
######### ################ #### // #### ## ####. ########.´ 1988, N
10.´ #. 1 ´ 26.
[181] ######### #.#. ############ ################ ######### N ´## #######
# ######## ############## ############ // #########. #########.´ 1974.´
10, 9.´ c. 1727´1729.
[182] ######### #.#., ######## #.#. # ###### ####### ### ###### #########´
##### ######### # ######### ############ // #######. ########. ##´#. ##´
#####, 1984. 17 #. ########. 4 ####. (######## ###. # ###### 15 #### 1984
#., 3974´84 ###.).
[183] ######### #.#., ######## #.#. # ######### ######### ############ ###´
########### ######### // ###. ###. ###### 27.12.88, N 9064.´ #88. ####´
###. 1988. 17 #. ####.: 4 ####.
[184] ######### #.#., ######## #.#. ## ##### ########### ##############
######### // ###. #######.´ 1984.´ 16 #. // #######. ########. ##´#. ####´
###, 1984, 16 #. ########. 7 ####. (######## ###. # ###### 17 ####. 1984
#., 953´84 ###.).
[185] ######## #.#. L p ´###### ############# ################ ########## #
############# ############## // ###. ###. ###### 26.06.87, N6005´#87,
######, 1987.´ 46 c.
[186] ####### #.#., ####### #.#. ######## ################# ######## ##´
##### // #####. #####. ##´##.´ 1988, N 135.´ #. 3 ´ 12.
[187] ###### #.#. ########### ######´########### #### ##################
##### ############## // #######. ##´#. #######.´ 1980.´ 19 #.´ ########. 5
####.´ ###. (###. ###. # ###### 4.04.80, 829´80 ###.).
[188] ###### #.#. # ###### #### ### ########### ################ #########
# ######## ############ // ###.´ 1992.´ 326.´ 4.´ #. 597´600.

20 ################# #########
[189] ###### #.#. # ###### #### ### ############ ################ ######´
### # ######### ############ // ##. ####. ##´# # ####### ########### .´
###########.´ 1989.´ 93.´ #. 93´116.
[190] ###### #.#. # ####### ##### ########, ######### # ########### #######´
######## // ### .´ 1994.´ 3.
[191] ###### #.#. # ###### #### ### ############ ################ #########
// ####. ####. ####. ## #### # ###. ##´##. ###. ########.´ ######.´ 1995.
#.135.
[192] ###### #.#. ## ############# ########### # #######´######## // ###
#### .´ 1989.´ 307.´ 4.´ c. 796´799.
[193] ###### #.#. ## ##### ######## ###### ########### #######´####### //
XIV ##### ## ###### ########## (###. ########) .´ ######## .´ 1989.´ #. 32.
[194] ###### #.#. ## ##### ############# ###### ########### #######´#######
// #######. ##´#., #######.´ 1982.´ 14 #.´ ########. 6 ####. (###.) (###. ###.
# ###### 2.06.83, 2959´83).
[195] ####### #.#. ###### #### ### ############ ######### ######## #######
// ####. #########.´ 1989 .´ 25 .´ N 8 .´ #. 1359´1368.
[196] ############## #.#., ######## #.#. ############## ###### # ##########
####### // #. #####.´ 1975.
[197] ############## #.#. # ##. ############ ######### # ############# ###´
######## #######. #.: #####, 1966.´ 499 #.
[198] ############## #.#., ###### #.#., ####### #.#. ## ############ #####´
##### # ######## ####### // ########. #.: ###, 1979.´ 62 #.
[199] ##### #.#. #####´
### ################ ######### # ######### ############.´ #.: #####,
1967.´ 464 #.
[200] ##### #.#., ########## #.#. ######### ####### ############ #########
# ################ ############# // #######.´ #######. ###.´ ########
############ ###### 21.03.89.´ N 1794 ´ #89.´ 1989.´ 41 #.
[201] ##### #.#., ####### #.#., ####### #.#. ############ ######## #####´
#####. #: #####.´ 1978.

################# ######### 21
[202] ##### #.#., ############ #.#. ############# ########## # ############
###### ### ############ ######### // ###, 1960, 133, N 2. ´ #. 277´280.
[203] ##### #.#., ##### #.#. ################ ######### # ######### ###´
######### // ##### ##### # ####. ###. ###. ######.´ ######, 1983.´ 21.´
#. 130´264.
[204] ##### #.#., ######### #.#. ## ############ ########## #### ### ######
#### // ### # ##, 1966, 6, N 4 ´ #. 648´664.
[205] ######### #.#. ######### ###### ### ######### ############# ####### #
######### ############ // ##########.´ ######### ##´#.´ ######## ######´
###### ###### N 8071 ´ 85.´ 1985.´ 28 #.
[206] ######### #.#. # ############ ########### ###### ####### //
##########.´ ######### ##´#.´ ######## ############ ###### .´ 1986.
[207] ######## #.#. L p ´###### ############# ################ ########## #
############# ############## // ####. ### ###. ###.´1988.´ N 4.´ #. 98
´ 100.
[208] ########## #.#. #######´########## ###### ### ################ ####´
#####. ###########.´ 1973.´ 71 #.
[209] ########## #.#., ####### #.#., ######### #.#. ############ ###### ##´
############ ###### # ####### // #. : #####, 1980.´ 286 #.
[210] ####### #.#. ######### ####### ########## ########## # ####### ##
########### ####### // ###. ###. ######, N 939. 78 ###. #######.´ 1978.´
14 #.
[211] ####### #.#. ########### ####### ### ########## ####### ###########
######### # ######### ############ // ###. ###. ######, N 941 ´ 78 ###.
#######.´ 1978.´ 17 #.
[212] ###### #., ##### #.´#. ##### ############## # ### ##########. // #.:
###, 1970.´ 336 #.
[213] ####### #.#., ##### #.#. #####´############# ####### # ##########´
###### #########. #.: ###´## ###, 1978.´ 205 #.
[214] ####### #.#. ## ############ ########## ######### // #########.
#########.´ 1988.´ 24, 3.´ #. 393´398.

22 ################# #########
[215] ######## #.#. ############ ###### ####### ############ #####. //
#####: ##### # #######, 1984.´ 343 #.
[216] ######## #.#. ###### # ###### ####### ############ #####. // ##### ##´
### # ####### ###### ´ ###. ###. ####., ### 20, 1982, #. 116´178.
[217] ##### #. #., ####### #. #. ############### ############## ##########
########### ##### // ###### ###. #. ´ 1988, 43, N3 ´#. 3´53.
[218] ######## #.#., ######## #.#. # ##### ###### ########### # #############
####### ############# ########## ##### ######## ########## #######´
### // ######## ###. #####. ###### # ####### #########. # ########.´
1986.´ #. 76´79.
[219] ##### #.#., ##### #.#. ########## ########## ####### ### ##### ##´
########### ########## # ############# ######### // ####. #####., ####.
####. # ## ####.´ 1985.´ ###. 45.´ #. 69´84.
[220] ##### #.#. ## ######## ####### ####### ########### ######## #######´
#### ######### // ###### ###. ####.´ 1963.´ 18, 1.´ c. 165´171.
[221] ##### #.#. # ############ ######### ####### ##### # ############
############## // ###### ###. ####.´ 1987.´ 42, 3.´ c. 191´192.
[222] ####### #.#. # ####### ## ############### ######### ###### #########´
### ######### # ######### ########## // ####. ###. ###. ###.´ #., 1986.´
#. 41´44.
[223] ####### #.#. ##### ####### ######### ###### ############ #### # ###
########## # ####### ######## ######### ############## ######. // ###.
###. ###### 22.01.88, N597´#88, 1988.´ 18 #.
[224] ######## #.#., ####### #.#., ########### #.#. ## ###### ######### ##´
########### # ############ ######## ####### // ####. ######. # #####.
###.´ 1987, N 83.´ #. 122 ´ 126.
[225] ###### #.#., ######## #.#. ######### ######## ####### ##########
####. #.: #####.´ 1979.´ 319 #.
[226] ###### #.#. ############### ###### # ###### ##########. #.: #####,
1988.´ 310 #.
[227] ####### #.#., ####### #####. # ############ ############ ###########´
#### # ############# ######## ####### // #####. #####. ##´##.´ 1988, N
315.´ #. 13 ´ 25.

################# ######### 23
[228] ########## #.#. ## L p ####### ### ######### ###### ´ ####### // ######.
##´#.´ 1987.´ 23.´ 11.´ #. 1956´1963.
[229] ######### #.#. ######### ########## ########### ####### ###### #####
// ###. ###. # ###. ###### 13.05.88, N 1186´##88, ######.´ 1988.´ 9 #.
[230] ######### #.#. ############### ########## ####### # ########## ###´
######### ########### ###### #### // ####. ##´#. ####.´ 1987.´ 79 #.´ ####.
23 ####. (###. ###. # ###### 15.03.88, 1994´#88).
[231] ######### #.#. ########## ############ ########### ###### #### # ##´
######## ´ ########## ####### // ####. ##´#. ####.´ 1988.´ 81 #. (###.
###. # ###### 27.07.88, ´6088´#88).
[232] ########## #.#. ############ ###### #### ### ######### ####### #######
# ######## ########## ########### // ####. ##´#.´ ##########.´ 1982.´ 10
#.´ ####. 5 ####. (###. ###. # ###### 9.11.82, 5523´82 ###).
[233] ########## #.#. # ###### #### ### ######### ####### ####### // #####´
####. #########.´ 1983.´ 19, 3.´ c. 537´538.
[234] ########## #.#. ########´####### E(t); ES(t) # ############ ######
#### ### ######### ####### ####### // ####. ##´#. ##########, 1982.´ 14
#.´ ###. 6 ####. (###. ###. # ###### 16.8.82, 4537´82 ###).
[235] ########## #.#. ##### ##### ######## ####### # #### // ######. ##´#.´
1980.´ 16.´ 2.´ #. 311´316.
[236] ########## #.#. ######### M;N ########´####### # ######### #######
####### # ######### ############ // ###. #####. ##########.´ 1985.´ 2.´ c.
45´52.
[237] ########## #.#. ####### #### #######´#######´######## ### #######
######### ####### ####### # ######### ############ // ###. #####. #####.´
1985.´ 4.´ c. 34´40.
[238] ########## #.#., ######### #.#. ######## ####### ### ###### #########´
##### # ###### ####### ##### // ######. ## ###### #####. ##########.´
1988.´ #. 46 ´ 50.
[239] ########## #.#., ####### #.#. # ###### #### # ###### ###########´
### ######### ####### ####### # ######### ############# // #########.
#########.´ 1979.´ 15, 4.´ c. 614´618.

24 ################# #########
[240] ########## #.#., ######## #.#. ############# # ############ ######
#### ### ######### ####### ####### # ######### ############ // ###.´
1984.´ 276, 5.´ c. 1066´1071.
[241] ########## #.#., ######## #.#. # ####### ## ###### #### ######### ###
####### ######### ####### ####### # ######### ############ // ####. ##´
#. ##########.´ 1986.´ 19 #.´ ####. 6 ####. (###. ###. # ######.´ 25.05.86,
3719´#86).
[242] ########## #.#., ######## #.#. ##### ############ ###### #### ###
######### # ####### # ######### ############ // ###.´ 1988.´ 300, 2.´ c.
280´284.
[243] ####### #.#. # ####### ############ ####### ####### ##### ###
##########´################ ######### // ######. ## ###### ######. ###´
#######.: ####.´ 1987.´ #. 61 ´ 67.
[244] ############# #.#., ############# #.#., ########## #.#. ##########´
#### ##### ########## ############# ######## # ########## ########´
#### ###### ############## ###### // ###. ###. ###.´ 1989, 40, N 4.´ #. 453
´ 458.
[245] ########## #.#. ###### ############# # ####### ########### # ####´
######. #.: #####, 1988.´ 359 #.
[246] ####### #.#. ###### ############# ############ #####. #.: ###, 1987.´
217 #.
[247] ####### #.#. ########## ###### ####### ########### ############ #####.
#.: #####, 1987.´ 239 #.
[248] ######### #.#. ######### ###### ### ########## ###### ########## #
########´######## ############ // ##. #####. ###### N 623.´ #######,
1982.´ #. 52 ´ 56.
[249] ######### #.#. n´############### ########## ########## ########## #
########´######## ############ // ##. #####. ###### N 689.´ #######,
1982.´ #. 34 ´ 37.
[250] ######### #.#. ## ########## ############# ########## ######## ###´
####### // ###. ####. # #######. #######.´ 1986. #. 47´51.

################# ######### 25
[251] ##### ##### ######. ##### ######## ######### ### ######### ###### #
##### ########## // ###. ###. ##. ###### 08.01.88, N 932´##88, 1988.´ 11
#.
[252] ####### #.#., ######### #.#. # ############# ####### # ######## ###´
####### ########## // ####. ##´#. ##########.´ 1986.´ 15 #.´ ####. 6 ####.
(###. ###. # ###### 29.01.86, 641´#).
[253] ####### #.#., ####### #.#. ############ ############# # ##########´
#####. #.: #####, 1988.´ 255 #.
[254] ########## #., ######### #.#. ####### ###### ############# ### #####´
### ###### #######´################ ######### n´## ####### // ####.
######### # #####. ######.´ #.´ 1987.´#. 95´103.
[255] ##### #.#. ####### ######### ### ######## ##########. // ###, 1987, 296,
N2 ´ #. 326´331.
[256] ##### #. ######## # ############### ###### # ########### #######. //
#.: #####, 1978.´ 375 #.
[257] ########## #.#. ########## ############ ############# ####### #####´
#### ######### ############### #### ### ####### ######## ##### #####´
###########. // ###. ###. ###### 14.04.83, N2291´83 ###.´ #####, 1983.´ 6
#.
[258] ##### #.#. ############ ############ ##### ############## ########´
######### ######### # ########### ############# // #######. ###. ##´#.
#######.´ 1986.´ 18 #.´ ####. ####. (###. ###. # ###### 15.01.86, N 371 ´ #
).
[259] ######### #.#. ## ##### ######## ###### ### ################# ######´
### ####### ####### # ######### ############ // ######. #########. 1989,
25, N 6, ´ #. 1000´1009.
[260] ###### #.#. ##### ############ ######## # ###### ############## ####´
############# ################# ############### ######### // ###. ###.
######.´ 1981.´ 33.´ 3.´ #. 348´355.
[261] ####### #.#., ###### #.#. ###### ############# ############## # ##
##########. ####: ''#### #####'', 1986.´ 216 #.
[262] ########### #.#. # ######### ###### # ###### ### ########### #########
//###. ###. ###### 04.02.88 N 948.´ ##. ######, 1988.´ 19#.

26 ################# #########
[263] ####### #.#. ## ##### ########## ########## ########## // ###. #.´
1986.´ 22 #.´ ####. 3 ####. (###. ###. # ###### 04.07.86, 371´B).
[264] ######## #. ############# ############ ################ ######### //
##. ###. #######. ##´##, 1979, 500, #. 3´23.
[265] ######## #.#. ########## ########## ### ############# #############´
### ######### # ######### ############ // ##. ###. ######. ##´##.´ 1982.´
633.´ #. 11´18.
[266] ######## #.#. ########## ########## ### ############## ##########´
### ################ ######### ####### # ####### ####### // ##########
####. ## ########. ####### # ###### ##########´########### #########.
####´###, 1979, 2, #. 56´58.
[267] ######## #. # ########## ########## ########## # ######### // ####´
##### ######. ''###### ####### # #####. ####### ### ######. ########
##########'', #####, 1987, #. 71´74.
[268] ######## #., ## ############# ########### ######### // ##. ###. ###´
####. ##´##, 1979, 492, #. 3´14.
[269] ######## #. ## ############# ############ ######## ###########
########´####### // UTU Vabariikliku konverentsi materjale. ######### ###´
############ ########### ###. #####, 1977, #. 79 ´ 87.
[270] ######## #., ###### ########### ### ############# ######### #######´
### ####### #### // ###. ###. ##########, 1979, 4, #. 33´38.
[271] ######## #.#. ############# # ##### ############# ####### ########´
####### // ###. ##.´ 1982.´ 118, 3.´ c. 386´398.
[272] ######## #.#. ######### ######## ####### ######### ##### # #########
############ //#. ######. ###. # ###. ###.´ 1988.´ 28, N 12.´ #. 1907´1908.
[273] ######## #.#. ##### ############# ####### ################ #########
####### ####### // ###. ###. #.´ 1984.´ 25, 3.´ c. 137´147.
[274] ######## #. ####### ############# ############ ################ ####´
##### // ##. ###. #######. ##´##, 1979, 500, #. 24´32.
[275] ######## #.#. ######## ############ # ###### ####### ########´#######
// ###. #######.´1992.´ 51.´ N 5.´ #. 151´153.

################# ######### 27
[276] ########### #.#., ########### #.#. ############### ######### # ######´
### ############ // ###### ###. ####.´ 1967.´ 22, 1(133).´ c. 170´172.
[277] ####### #. #., ####### #. #. ################ ######### ´1987, 22, N6.
´#. 1054´1060.
[278] ######### #.#. ##### ######### ####### ############### ######### # ##´
########## #########. #.: #####. 1985. 96 #.
[279] ######### #.#. ############# ########### ############## # ##########
####### # ############ ############ ######## ############ ##########
//#####. #####. ##´##.´ 1989.´ N 334.´ c. 94´95.
[280] ####### #.#. ############ ######### ###### ### ################
######### # ######## ############. ####.: ####### #####.´ 1984.´ 264
#.
[281] ########## #.#. # ######## ########### ######### // ###. ##.´ 1982.´ 119,
1.´ c. 32´47.
[282] ######### #.#., ####### #.#. # ############# # ############## ####´
### ###### ############### ##### # ############ ########## // ###. ###.
###### 27.01.88, N793´#88, 1988.´ 17 #.
[283] ###### #.#. ############ ######## ################# #### // ####. ##
####.´ 1983.´ 27, 9.´ #. 791´793.
[284] ###### #.#. ####### ################# #### # ########### ########## #
################ ########## // #########. #########.´ 1985.´ 21, 8.´ c.
1412´1422.
[285] ########### #.#. ######## ########## #### ######## ######### ### ##´
#### ############# ######### #.#. ####### // ###. ###. ###### 20.01.88,
N505´#88, 1988.´ 20 #.
[286] ### #., ###### #. ###### ########### ############## ######. #. 1. ####´
########## ######.´ #.: ###.´ 1977.´ 360 #.
[287] ### #., ###### #. ###### ########### ############## ######. #. 2. ###´
########## ######. #################.´ #.: ###.´ 1978.´ 395 #.
[288] #### #., ##########´#### #. ###### ## ############### #######. #: ##.
1954.

28 ################# #########
[289] ######### #., ###### #. ########## ###### ####### ####### #####.´
######.´ 1972.
[290] ###### #.#. ########### ############## ##### ######### #############
### ############ ################ ######### // ####. #####. ###. ###.:
##. ####. ####. #######. 1987. #. 338´348.
[291] ######### #.#., ###### #.#. ###### ############ ###### ###?###### ###
############ ################ ######### ####### ####### // ###. ###. ##´
#### 21.01.88, N 594´#88, 1988.´ 13 #.
[292] ####### #.#. # ######## ########### ################ ######### //
#########. #########.´ 1987.´ 23, 9.´ c.1574´1585.
[293] ######## #.#. ############ ############ # ################ ########´
##### ############## ######### # ########## ##########, ####### ##´
######## ####### ########### // ###. ###. ###### 23.12.87, N9022´#87,
1988.´ 16 #.
[294] ######## #.#. ############ ############ ############## ######### #
############# ######## # ##### // #######.´ ########### ##´#.´ ###. ###.
###### 11.12.85, N 8488´ #, 1985.´ 32 #.
[295] ######## #.#. # ############ ############ # ############# ####### ##´
######### ############## ######### # ############## ########## ###´
#######, ####### ####### ######## ##### ########## ####### ########´
### // ############ # ############ ###### ############ ###########
#########.´ #########.´ #.3´7.
[296] ######## #.#. ###### ####### ############## ######### # ###### ###´
######### ###### // ##########. ########. ##´#. ###########.´ 1988.´ 34 #.
####. 10 ####. (###. ###. # ###### 18.08.88, 6621´B88).
[297] ###### #.#. ########## ############# ###### # ########### ######
#### //###. ###. #.´ 1989.´ 41, N 8.´ #. 1082´1088.
[298] ##### #.#. ############# ###### ######## ########## ###### ##### # ##´
#### ## ########### ######## ### ######### ########### # #############
############ // ######. # #####. ###., 1987, N 63, #. 50´67.
[299] ######### #.#., ######## #.#. ########## ########### ####### // #.´
###.´ 1983.´ ######## N 75.

################# ######### 29
[300] ######### #.#., ######## #.#. ######### ####### ################ ####´
### ##### ### ######### ########### ####### ########## ##########. #.´
###.´ 1984.´ ######## N 11.
[301] ######### #.#. ###### ########## ####.´ ######.´ 1972.
[302] ######### #.#., ##### #.#. ############ ########## ####.´ ######.´ 1973.
[303] ######### #.#., ######## #.#. ###### ####### ######## #########.´
######.´ 1978.
[304] ######## #.#. #######´########## ###### ####### ###### #### ### ###´
######### ######### ############## #### # ## ########## // ###. ###.
###### N 3446 ´ 75 ###.´ ####, 1975.
[305] ####### #.#. ########### ######## ### ############# ####´###### //
#. ######. ###. # ###. ###.´ 1986.´ 26.´ N 3.´ #.346´356.
[306] ####### #.#. # ############## ####### #######´################ ####´
##### #### ######### # ########### ###### #### ##### ###### ###### //
###### ######. ######. # ########. ########. ´ #.´ 1987. ´ #. 38´56.
[307] ######### #.#. ## ##### ###### ######## ################ #########
# ######### ############ //### ####.´#.´ 1989.´ N7.´ #. 23´25.
[308] ######### #.#., ########### #.#. ############ ###### #### ### #####´
######## ######### # ######### ############ # ######## ######## #####´
###### #############, ########### ########## # ############ // ###.
###. #.´ 1986.´ 27, 4.´ c. 93´104.
[309] ######### #.#., #### #.#. ######### ## ############# ###########
###### ################# ######### ## #######. // ###. ###. ######
04.02.88, N985´#88, #######, 1988.´ 11 #.
[310] ##### #.#., ###### #.#. ## ############### ############ #########
################# ######### # ######### ############ // ####. #####.,
#####. ###### # ####.´ 1982.´ ###. 37.´ #. 127´132.
[311] ############# #.#. ###### ########## ###### ###### # ## ########## #
############## ##########.´ #.´ #####.´ 1983.´ 311 #.
[312] ######## #. ###### ###### ###### ########### ############# #######
####### ############# ###################### ############ ######´
### // #####. #####. ##´## ####. ######. #####.´ 1988, ´ N #5´ 88.´ 771.´ #.
1´14.

30 ################# #########
[313] ########## #.#. ##### ######´############ ######### ###### #######
####### ###### // ####. ####### #####. ####. ##´###.´ #., 1988. ´ #.124´
138.
[314] ####### #.#. ## ##### ####### ########// ####. ##´# # ####. ##´###.´
#######, 1986.´ #. 91´93.
[315] ########## #.#., ########### #.#. ########## ###### ####### #####
########### ########### ############## ######### # ########### ######´
######## # IR n // ###. ###. ###### N 1519 ´ 82, #######.
[316] ####### #.#. ########### ############ ###### #### # ############ ##´
##### // #########. # ######. #########. #######.´ 1984.´ #. 94´99.
[317] ########### #.#. ############ ########### ###### #### ####### ''#####´
####'' // ###. ###. # ###### 26.11.85, N 8129 ´ #.´ #######., #######.
##´#.´ 59 #.
[318] ########### #.#. ####### ########## ### ########### ###### #### //
###. ###. # ###### 26.11.85, N 8130 ´ #.´ #######., #######. ##´#.´ 48 #.
[319] ########### #.#. ################ ####### ### ####### ###########, ##´
######### ############### ########### ########### # ############
######### ########### // ##. ##### ## ########## # ####### ###########
# ###. ##########.´ #######.´ 1973.´ #. 142´155.
[320] ########### #.#. ########### ############## ### ########### ########´
###### #########// ### ####, 1964.´ 157.´ N 1.´ #. 52´55.
[321] ########### #.#. # ############ ############ ########## ######### //
### .´ 1971.´ 201.´ N 5.´ #. 1063´1066.
[322] ########### #.#. ####### # ######### ########### # ###### ######## ###´
####### ###### ######### ### ############## ######### // ### ####,
###. #. ###.´###. # ####. #####, 1987, N 8.´ #. 12´16.
[323] ########### #. #. ####### ######## ### ############# # ##############
########## # # // ####. ## ###.´1988.´32, N1.´#. 32´37.
[324] ########### #.#. ###### ######### # ############ ########## ####// #
##. ###### ########## # ############## #############. ###########. 1977.
´ #. 304´337.

################# ######### 31
[325] ########### #.#. ############# # ############## ######### # # // ###.´
1988, 298, N 4. ´ #. 815´819.
[326] ########### #.#. ############# ######### # # // #####. # ####. ######
###. ###. ####. 1988. ´ #. 216´220.
[327] ########### #.#., ####### #.#. # ########## ############ ##########
############## ######### # ############# ####### // ##### ####. ###.
##´##.´ 1978.´ 36.´ # 29´57.
[328] ########### #.#., ######## #.#. ############ ############ ###########
############## ######### # ####### ############# // ###. ###. # ######
N 2324´85 ###.´ #######., #######. ##´#.´ 1985 #.
[329] ########### #.#., ########## #.#. ############ ####### ####### ###´
### ###### #### ### ############ ################ ######### // ###.
#####.´ ##########.´ 1977.´ 5.´ #. 103´116.
[330] ########### #.#., ##### ### ###. ########## ##### ############ ####
############# ####### ############## ######### // ###. ###. # ######
N 1369 ´ 77 ###.´ #######., #######. ##´#.´ 1977 #.
[331] ########### #.#., ######### #.#. ## ##### ####### # ####### #########´
### ##### // ####. #########, 1978, 24, N5.´ #. 900´904.
[332] ####### #.#. # ########## ###### ####### # ######### ############
// ############ # ############ ###### ############# ###########
#########.´ #########.´ 1986.´ #.16´22.
[333] ####### #.#. # ########## ###### ####### # ######### ############ //
#######.´ 1986.´ ######## ############ # ###### 26.03.86, N 2017´#.´ 17
#.
[334] ####### #.#. # ####### ######## ############ ##### # ############ ###´
######### // #####. #########, 1970, ### 6, N8 ´ #. 1490´1495.
[335] ########## #.#. # ######### ### ####### ######### ####### ####### ##´
######### ################ ######### # ############## ##############
// ###.´1988.´ 301, N 2´ #. 283´287.
[336] ####### #.#. ############ ############# ############### ####### ##´
#### ######## ############ ######### ######### ####### #### // ###.´
1988, 300, N 6. ´ #. 1325´1328.

32 ################# #########
[337] ####### #.#. ##### ########## ####### ### ###### ###### ###########
######### I #### // #####. #########, 1977, ### 13, N 10.´ #. 1804´1814.
[338] ####### #.#., ###### #.#. ## ##### ######## ###### // #####. ###### #
### ##########, 1979, ### 13, N4 ´ #. 89´90.
[339] ###### #.#. ###### ####### ########### #########. #.: #####, 1981.´ 157
#.
[340] ######## #.#. # ########## ####### ############# ####### ######## ###
############### ######### # ############ ############ // ###. ###. # ##´
#### 04.05.83, N 2401´83 ###.´ #######., #######. ##´#.´ 1983 #.
[341] ######## #.#. ########## ###### ### ############## ######### # ####´
######## ############ // #####. ###### ####. #######.´ #######.´ 1985.´
#.151´161.
[342] ####### #.#. # ####### ########### ############ ##### // ###.´ 1963,
### 151, N3 ´ #. 501´504.
[343] ####### #.#. # ############# ########### ############ #####. // ###.´
1963, ### 133, N 1 ´ #. 49´50.
[344] ####### #.#., ####### #.#. ###### ####### ############ #####. // #.:
#####, 1979.´ 285 #.
[345] ####### #.#., ########## #.#., ######## #.#., ##### #.#. #############´
### ######### # ########## ##########. // #.: #####, 1983.´ 198 #.
[346] ######## #.#. ################ ######### # ######### ############,
############# # ########### // ####. ##´### # ##########. ##. 3´## ####.
#####.´ ########.´ 1987. ´ #. 421´428.
[347] ####### #. ###### ############. ############## ############. #####´
########### #########.´ #.: ###, 1980.´ 664 #.
[348] ###### #.#. # ###### #### ### ################ ########### #########
// ####. ##. ####. #####. ##´##.´ 1984.´ 45.´ #. 123´127.
[349] ####### #. A´########## ##### ### ################ ######### #######
####### //#####. ########. ### ## ## ###. ´ 1989. ´N1.´ c. 12´13.
[350] #### #.#., ######### #.#. ######## ############### ############ ##´
###### ################ ##########. ´ ###########. #####,´ 1987.´ 280 #.

################# ######### 33
[351] ###### #. ######### # ######## ############ ### ####### ########## #
#########.´ #.: ###.´ 1985.´ 383 #.
[352] ####### #.#. ######## ############ ###### ## ########## ######## #
######. ###########, 1982.´ 189 #.
[353] ######## #.#. ############# ############ ###### #### ### ########´
######### ############ ######### ####### ####### // ###. ###. ######
21.01.88, N586´#88, 1988.´ 9 #.
[354] ###### #.#. ## ############# ############## ######### #############
# ######## ###### ########## // ###. #######. 1988, 44, N 3. #. 405´406.
[355] ###### #., ### ##. ########## ############### ####### # ###### #####´
#####. #.: ###, 1983.´ 431 #.
[356] ######## #. #., ###### #. #. ################## ###### #######, ####´
########## ########### # ###### ######´######## // ###. ## ###. ###.
### .´ 1998, 23, N3.´ #. 199´215.
[357] ##### #. ############## ###### ############ ############## #########.
#.: ###.´ 1985.´ 376 #.
[358] ##### #. ############## ###### # ##########. #.: ##. 1951.
[359] ##### #., ####### #. ############## ###### # ##########. #.: ##´## ##.
###., 1962.´ 826 #.
[360] #### ##., #### ##. ########### ######### ###### ####### #########´
### ################ #########.´ #.:###.´ 1979.´ 312 #.
[361] ########### #.#. ########## ######### # ###### ############# #####´
##### # ########### ########## // #####. ####. # ### ####.´ 1981.´ 15, 4.´
c. 91´92.
[362] ########### #.#. ########### ###### ############## ########### #####´
##### # ########## ############ ## ################## ########´#######
// ### ####. 1987, 297, N 3. #. 552´556.
[363] ########### #.#. ################## ####### # ######## ########### #
############# ######### ##### ### ############ ################ ###´
####### // ####. ## ####. 1985.´ ###. #.´ 6.´ #. 21´24.

34 ################# #########
[364] ########### #.#. ################## ####### # ############# #########
###### // # ##.: ######. ## ####. ###. ####..´ ###########.´ 1987.´ 7.´ #. 180´
195.
[365] ##### #.#. ############ ###### ### ###############´########### ####´
##### ######### ####### // ###. ###. # ###### 10.08.87, N5801´#87. ###.
####### ''####. #########'', #####, 1987.´ 18 #.
[366] ##### #.#., ##### #.#. ############ ###### ### ###############´
########### ######### ######## ####### // #########. ##´#.´ 1987.´ 23.´
N 5.´ #. 877´881.
[367] ##### #.#. ############ ###### ### ###############´########### ####´
##### ####### ####### // ###. ###. # ###### 10.08.87, N5802´#87. ###.
####### ''####. #########'', #####, 1987.´ 16 #.
[368] ###### #.#. ############ ##### ####### # ####### ########## #####´
### ############# ################### // ###. ###. ###. ###### 02.01.89,
N 74´ ##.89. ´ #####.´ 5 #.
[369] ########## #.#. ############# ####### # ####### ############ #######´
### # ######### ############ //##. ##´## ####. ###. ####. ##´##.´ 1988, 27.´
#. 163´181.
[370] ####### #.#. # ############ ######### ##########´################
######### // ######. ##´# ###### #/#., 1988.´ 26 #. ########. 7 ####. (###.
###. # ###### 27.01.88 794´B88).
[371] ######## #.#. # ################ ########## ###### ### ###### ####´
####### ######### // ######. #####. ###. ###. : ##. ####. ####., #######.
#. 1.´ 1987.´ #. 416´423.
[372] ####### #.#. ## ##### ####### # ###### ######## ####### ##########´
###### #########, ######### ####### ######## ######### // // ###. ###.
# ###### 06.03.86, N 765 ´ ## ´ ###.´ ##############.´ 1986.
[373] ######## #.#. ############ ####### ###### ### ###############´
########### ######### // #######. ####### ###### ######## # ##########
########### #########.´ ####, 1985.´ #. 147´171.
[374] ##### #.#. # ########## ############ # ############ ####### ###´
############# ######### # ############## ############ ##########´
#### // ##. ####. ####. ###. ###### ##´## ###. ## ####, ####.´###. ###.
###### 20.01.89, N 487 ´ #89.´ #. 240´248. ####. 4 ####.

################# ######### 35
[375] ###### #. ## ####### ####### ###### #### ### ######### #### ######´
#### # ############# Lp(ff); Bp; q(ff). I. // ###. ###. ##. ´ 1987, 17, N3 ´ #.
561´572.
[376] ##### #.#., ###### #.#., ###### #.#. # ####### ############ ########´
### ########## #### ####### ################# ########### // ###.´
1989.´ 305.´ 3.´ #. 543´545.
[377] ######### #.#. # ############ ## ########## ####### ####### #####
####### ##### ### ############ ######### // ###. ###. # ######
12.06.79, N2292´79 ###., #######,1979.´ 26 #.
[378] ######### #.#. # ############ ##### ####### ##### ### ##############
######### // ###. ###. # ###### 12.04.78, N1417´78 ###., #######, 1978.´
19 #.
[379] ######### #.#. ############# ##### ####### ##### ### ############
######### // VIII ##### ## ###### ########## # #####. ####. II, ####, 1983,
#. 130´131.
[380] ######### #.#. ############### ##### ##### # ########### #######´
####### // VIII ##### ## ###### ########## # #####. ####. , ####, 1983,
##### II, #. 131´132.
[381] ######### #.#. ############### ##### ##### # ########### #######´
####### // VII ##### ## ###### ########## # #####. ##´###.´ ####, 1983.´
#. 2.´ #. 131´132.
[382] ######### #.#. ########### #######´####### # ######## #############
## ##### // #######. ###. ##´#. #######.´ 1983.´ 18 #.´ ####. 6 ####. (###.
###. # ###### 19.4.83, 2071´83).
[383] ######### #.#. ############ ## ##### # ########### #######´####### //
####. ## ####.´ 1984.´ 276, 1.´ c. 51´54.
[384] ######### #.#. ############ ## ##### ##### ##### ## ########### ####´
#### ############ ######### // ###. #######.´ 1979.´ 26, 6.´ c. 865´873.
[385] ######### #.#. # ######### ######## ####### ### ################
######### ####### # ####### ####### # ######### ############ // ####´
###### ###### ############## ######.´ ######.´ 1987.´ ###### ########
VI ########## ########### ''########## ###### ############## ######''.´
#.166.

36 ################# #########
[386] ###### #.#. ######## ###############´########### ######### # ## ###´
#######. ####: ###, 1985.´ 220 #.
[387] ###### #.#. ############ ###### #### ### ################ #########
# ######### ############ // #####. ######.´ ####, 1967.´ #. 187´206.
[388] ###### #.#., ##### #.#. ####### ####### ######## ####### ####### ##´
### ### ############# ###############´########### ######### # #####´
###### # ####### ######## // ####. ##´#.´ 1985.´ N 12.´ #. 2187´2188.
[389] ###### #.#. ######### ###### ######´############# ########### ####´
### ################# ######### // ###. ###. # ###### 25.02.86, N 709
´ ## ###.´ #####.´ 1986.
[390] ####### #.#. ########## ######### ######## ############ ########## //
##.: ###. ######, ####### # ####. ############. ´ #######.´ 1988. ´ #. 1´7.
[391] ####### #.#. ############ ######### ### ######### ######## ######´
### ########## // ###. ######## ########. ##### #####. ###### ''#####.
###### # #####. ###. # ###. #####.''´ #######.´ 1988.´ #. 138 ´139.
[392] Abdelaziz N.H. Commutativity and the generation of n´parameter semi´groups
of bounded linear operators. // Houston J. Math., 1983, 9, N 2, p. 151 ´ 156.
[393] Abdelaziz N.H. On approximation by discrete semigroups // J. of Approximation
Theory, 73 (1993), p. 253--269.
[394] Abdelaziz N.H. On the product of class A semigroups of linear operators.// Proc.
Amer. Math. Soc., 1983, 88, N 3, p. 517 ´ 522.
[395] Abdelaziz N.H., Chernoff P.R. Continuous and discrete semigroup approxima´
tions with applications to the Cauchy problems. // J. Operator Theory 32 (1994),
p. 331--352.
[396] Achuthar P., M?uller´Kirsten H.Y.W. Asymptotic expansions, converging factors
and Pad'e approximants // J. Math. & Phys. Sci.´ 1987, 21, N6.´ p. 631´651.
[397] Acquistapace P. Abstract linear nonautonomous parabolic equations: a survey
// In Differential equations in Banach spaces (Bologna, 1991), p. 1--19. Dekker,
New York, 1993.
[398] Acquistapace P. Boundary control for non´autonomous parabolic equations in
non´cylindrical domains // In Boundary control and variation (Sophia Antipolis,
1992), p. 1--12. Dekker, New York, 1994.

################# ######### 37
[399] Acquistapace P. Evolution operators and strong solutions of abstract linear
parabolic equations // Differential Integral Equations, 1(4): p.433--457, 1988.
[400] Acquistapace P. Existence and maximal time regularity for linear parabolic
integro´differential equations // J. Integral Equations, 10(1´3, suppl.): p.5--43,
1985. Integro´differential evolution equations and applications (Trento, 1984).
[401] Acquistapace P. New results on local existence for quasilinear parabolic systems
// In Nonlinear analysis and applications (Arlington, Tex., 1986), p. 1--6. Dekker,
New York, 1987.
[402] Acquistapace P. On a family of generators of analytic semigroups // In Semi´
group theory and evolution equations (Delft, 1989), p. 1--14. Dekker, New York,
1991.
[403] Acquistapace P. Some existence and regularity results for abstract nonau´
tonomous parabolic equations // J. Math. Anal. Appl., 99(1) : p.9--64, 1984.
[404] Acquistapace P. Zygmund classes with boundary conditions as interpolation
spaces // In Semigroup theory and applications (Trieste, 1987), p. 1--19. Dekker,
New York, 1989.
[405] Acquistapace P., Flandoli F., Terreni B. Initial´boundary value problems and op´
timal control for nonautonomous parabolic systems // SIAM J. Control Optim.,
29(1): p.89--118, 1991.
[406] Acquistapace P., Terreni B. A unified approach to abstract linear nonautonomous
parabolic equation // Rend. Semin. Mat. Univ. Padova. ´ 1987, 78.´ p. 47´107.
[407] Acquistapace P., Terreni B. An approach to Ito linear equations in Hilbert spaces
by approximation of white noise with coloured noise // Stochastic Anal. Appl.,
2(2): p.131--186, 1984.
[408] Acquistapace P., Terreni B. Boundary control problems for nonautonomous
parabolic systems // In Stabilization of flexible structures (Montpellier, 1989),
p. 156--166. Springer, Berlin, 1990.
[409] Acquistapace P., Terreni B. Classical solutions of nonautonomous Riccati equa´
tions arising in parabolic boundary control problems // Appl. Math. Optim.,
39(3): p.361--409, 1999.
[410] Acquistapace P., Terreni B. Existence and regularity results for abstract nonau´
tonomous parabolic equations // Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis.
Mat. Natur. (8), 72(6): p.322--329 (1983), 1982.

38 ################# #########
[411] Acquistapace P., Terreni B. Existence and sharp regularity results for linear
parabolic nonautonomous integro´differential equations // Israel J. Math., 53(3):
p.257--303, 1986.
[412] Acquistapace P., Terreni B. Fully nonlinear parabolic systems // In Recent
advances in nonlinear elliptic and parabolic problems (Nancy, 1988), p. 97--111.
Longman Sci. Tech., Harlow, 1989.
[413] Acquistapace P., Terreni B. H?older classes with boundary conditions as interpo´
lation spaces // Math. Z., 1987, 195, N4 ´ p. 451´471.
[414] Acquistapace P., Terreni B. Infinite´horizon linear´quadratic regulator problems
for nonautonomous parabolic systems with boundary control // SIAM J. Control
Optim., 34(1): p.1--30, 1996.
[415] Acquistapace P., Terreni B. Linear parabolic equation in Banach spaces with
variable domains but constant interpolation spaces. // Ann. Scuola norm. super.
Pisa sci. fis e mat. (IV)´ 1986.´ 13, 1.´ p. 75´107.
[416] Acquistapace P., Terreni B. Maximal space regularity for abstract linear nonau´
tonomous parabolic equations // J. Funct. Anal., 60(2): p.168--210, 1985.
[417] Acquistapace P., Terreni B. On fundamental solutions for abstract parabolic
equations // In Differential equations in Banach spaces (Bologna, 1985), p.
1--11. Springer, Berlin, 1986.
[418] Acquistapace P., Terreni B. On quasilinear parabolic systems // Math. Ann.,
282(2): p.315--335, 1988.
[419] Acquistapace P., Terreni B. On the abstract Cauchy problem in the case of
constant domains // Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.
(8), 76(1): p.7--13, 1984.
[420] Acquistapace P., Terreni B. On the abstract non´autonomous parabolic Cauchy
problem in the case of constant domains // Ann. Mat. Pura ed Appl. (IV).´
1985.´ 140.´ p. 1´55.
[421] Acquistapace P., Terreni B. Quasilinear parabolic integrodifferential systems with
fully nonlinear boundary conditions // In Volterra integrodifferential equations
in Banach spaces and applications (Trento, 1987), p. 1--20. Longman Sci. Tech.,
Harlow, 1989.

################# ######### 39
[422] Acquistapace P., Terreni B. Regularity properties of the evolution operator for
abstract linear parabolic equations // Differential Integral Equations, 5(5):
p.1151--1184, 1992.
[423] Acquistapace P., Terreni B. Une m'ethode unifi'ee pour l''etude des 'equations
lin'eaires non autonomes, paraboliques dans les espaces de Banach // C. R.
Acad. Sci. Paris S'er. I Math., 301(4): p.107--110, 1985.
[424] Adamovicz M. Control of a servomechanism problem for linear time´invariant
multivariable systems with constrains on transitions states // Int. J. Syst. Sci.
´1987, 18, N 8.´ p. 1475´ 1483.
[425] Adeyeye J.O.O. Characterization of real interpolation spaces between the domain
of the Laplace operator and L
p(\Omega\Gamma7
\Omega polygonal applications // J. Math. pures.
et appl.´ 1988, 67,´ p. 263´290.
[426] Aftabizadeh A. R., Aizicovici S., Pavel N. H. Anti´periodic boundary value prob´
lems for higher order differential equations in Hilbert spaces // Nonlinear Anal.,
18(3): p.253--267, 1992.
[427] Aftabizadeh A. R., Aizicovici S., Pavel N. H. On a class of second´order anti´
periodic boundary value problems // J. Math. Anal. Appl., 171(2): p.301--320,
1992.
[428] Aftabizadeh A. R., Pavel N. H. Boundary value problems for first order differen´
tial equations with accretive right´hand side in Banach spaces // In Differential
equations and applications, Vol. I, II (Columbus, OH, 1988), p1--12. Ohio Univ.
Press, Athens, OH, 1989.
[429] Aftabizadeh A. R., Pavel N. H. Boundary value problems for second order differ´
ential equations and a convex problem of Bolza // Differential Integral Equations,
2(4): p.495--509, 1989.
[430] Aftabizadeh A. R., Pavel N. H., Huang Y. K. Anti´periodic oscillations of some
second´order differential equations and optimal control problems // J. Comput.
Appl. Math., 52(1´3): p.3--21, 1994. Oscillations in nonlinear systems: applica´
tions and numerical aspects.
[431] Agase S.B. Existence and stability of mild solutions of semilinear differential
equations in locally convex spaces // Yokohama Math. J. ´ 1987, 35, N1´2 ´ p.
33´45.
[432] Agase S.B. Existence and stability of ordinary differential equations in locally
convex spaces // Nonlinear Anal., 5(7): p.713--719, 1981.

40 ################# #########
[433] Agase S.B., Raghavendra V. Existence of mild solutions of semilinear differential
equations in Banach spaces // Indiana J. Pure & Appl. Math., 1990, Vol. 21, N
9, p. 813´821.
[434] Agranovich Y., Sobolevski?i P. Motion of nonlinear viscoelastic fluid. In Nonlinear
variational problems and partial differential equations (Isola d'Elba, 1990), p. 1--
12. Longman Sci. Tech., Harlow, 1995.
[435] Agranovich Y., Sobolevski?i P. Investigation of a mathematical model of a vis´
coelastic fluid. Dokl. Akad. Nauk Ukrain. SSR Ser. A, 1989(10): p.3--6, 86.
[436] Agranovich Y. Sobolevski?i P. Motion of a nonlinear viscoelastic fluid // Dokl.
Akad. Nauk SSSR, 314(3): p.521--525, 1990.
[437] Agranovich Y., Sobolevskii P. Motion of nonlinear visco´elastic fluid // Nonlinear
Anal., 32(6): p.755--760, 1998.
[438] Ahmed N.U. Optimal impulse control for impulsive systems in Banach spaces//
Int. J. Differ. Equ. Appl., 1(1) p. 37--52, 2000.
[439] Ahmed N.U. Generalized solutions for linear systems governed by operators
beyond Hille´Yosida type// Publ. Math. Debrecen, 48(1´2), p. 45--64, 1996.
[440] Ahu'es M. A class of strongly stable operator approximations // J. Austral. Math.
Soc. Ser. B, 28(4): p. 435--442, 1987.
[441] Ahu'es M. A note on finite element error bounds for multiple defective eigenvalues
and maximal invariant subspaces // Appl. Math. Lett., 4(3): p.65--68, 1991.
[442] Ahu'es M. A note on strong stability of finite element approximations // Appl.
Math. Lett., 2(2): p.179--182, 1989.
[443] Ahu'es M. Spectral approximation by finite element methods // In Math'ematiques
appliqu'ees aux sciences de l'ing'enieur (Santiago, 1989), p. 1--6. C'epadu`es,
Toulouse, 1991.
[444] Ahu'es M. Spectral condition numbers for defective elements of linear operators
in Hilbert space // Numer. Funct. Anal. Optim., 10(9´10): p.843--861, 1989.
[445] Ahu'es M., Almeida F., Chatelin F., Telias M. Iterative refinement techniques for
the eigenvalue problem of compact integral operators // In Treatment of integral
equations by numerical methods (Durham, 1982), p. 373--385. Academic Press,
London, 1982.

################# ######### 41
[446] Ahu'es M., d'Almeida F., Telias M. Iterative refinement for approximate eigenele´
ments of compact operators // RAIRO Anal. Num'er., 18(2): p.125--135, 1984.
[447] Ahu'es M., Alviz'u J., Chatelin F. Efficient computation of a group of close eigen´
values for integral operators // In Numerical mathematics and applications (Oslo,
1985), p. 89--93. North´Holland, Amsterdam, 1986.
[448] Ahu'es M., Chatelin F. The use of defect correction to refine the eigenelements of
compact integral operators // SIAM J. Numer. Anal., 20(6): p.1087--1093, 1983.
[449] Ahu'es M., Grammont L. On the numerical analysis of generalized Sylvester equa´
tions. I. A theoretical spectral framework // Numer. Funct. Anal. Optim., 15(7´
8): p.713--727, 1994.
[450] Ahu'es M., Hocine F. A note on spectral approximation of linear operations //
Appl. Math. Lett., 7(2): p.63--66, 1994.
[451] Ahu'es M., Hocine F. Finite element error bounds in spectral approximations
// In International Conference on Differential Equations, Vol. 1, 2 (Barcelona,
1991), p. 258--262. World Sci. Publishing, River Edge, NJ, 1993.
[452] Ahu'es M., Largillier A. A variant of the fixed tangent method for spectral com´
putations on integral operators // Numer. Funct. Anal. Optim., 16(1´2): p.1--17,
1995.
[453] Ahu'es M., Largillier A. Rayleigh´Schr?odinger series for defective spectral ele´
ments of compact operators in Banach spaces. II. Numerical comparison with
some inexact Newton methods // Numer. Funct. Anal. Optim., 11(9´10): p.851--
872 (1991), 1990.
[454] Ahu'es M. Largillier A. Rayleigh´Schr?odinger series versus inexact Newton meth´
ods for spectral computations // In Iterative methods in linear algebra (Brussels,
1991), p. 415--422. North´Holland, Amsterdam, 1992.
[455] Ahu'es M. Largillier A. Two numerical approximations for a class of weakly sin´
gular integral operators // Appl. Numer. Math., 17(4): p.347--362, 1995.
[456] Ahues M., Limaye B. On error bounds for eigenvalues of a matrix pencil //
Linear Algebra Appl., 268: p.71--89, 1998.
[457] Ahues M., Piskarev S. Spectral approximation of weakly singular integral oper´
ators I:Convergence theory // Constanda, C. (ed.) et al., Integral methods in
science and engineering. Vol. II: Approximation methods. Proceedings of the 4th
international conference, IMSE '96, Oulu, Finland, June 17´20, 1996. Harlow:
Longman. Pitman Res. Notes Math. Ser. 375, p. 35´39 (1997).

42 ################# #########
[458] Aiena P., Gonzalez M. On the perturbation classes of semi´Fredholm and Fred´
holm operators// [Marino G. (ed.) et al., The proceedings of the workshop on
functional analysis: methods and applications, Camigliatello Silano, Italy, May
29´June 2, 1994. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ.
Mat. Palermo, II. Ser. 40, p. 37´46 (1996).
[459] Ait Dads E., Ezzinbi, K., Fatajou, S. Asymptotic weak almost periodicity and
almost´orbit of semigroups of operators // Libertas Math. 16, p. 81´90 (1996).
[460] Ait Dads E., Ezzinbi K., Fatajou S. Weakly almost periodic solutions for some
differential equations in a Banach space // Nonlinear Stud., 4(2): p.157--170,
1997.
[461] Aizicovici S., Barbu V. Existence and asymptotic results for a system of integro´
partial differential equations // NoDEA Nonlinear Differential Equations Appl.,
3(1): p.1--18, 1996.
[462] Aizicovici S., Barbu V. Periodic solutions for a second order semilinear Volterra
equation // In Theory and applications of nonlinear operators of accretive and
monotone type, p. 1--14. Dekker, New York, 1996.
[463] Aizicovici S., Pavel N.H. Anti´periodic solutions to a class of nonlinear differential
equations in Hilbert space // J. Funct. Anal., 99(2): p.387--408, 1991.
[464] Akhmerov R.R., Kurbatov V.G. Exponential dichotomy and stability of neutral
type equations // J. Diff. Equation.´ 1988, 76, N1. ´p. 1´25.
[465] Akrivis G., Crouzeix M., Makridakis C. Implicit´explicit multistep finite element
methods for nonlinear parabolic problems // Math. Comp., 67(222): p.457--477,
1998.
[466] Akrivis G., Crouzeix M., Makridakis C. Implicit´explicit multistep methods for
quasilinear parabolic equations // Numer. Math., 82(4): p.521--541, 1999.
[467] Akrivis G., Crouzeix M., Thom'ee V. Numerical methods for ultraparabolic equa´
tions // Calcolo, 31(3´4): p.179--190 (1996), 1994.
[468] Akrivis G., at al. On fully discrete Galerkin methods of second´order temporal
accuracy for the nonlinear Schr?odinger equation // Numer. Math., 59(1): p.31--
53, 1991.
[469] Akrivis G., Dougalis V. A., Karakashian O. Solving the systems of equations
arising in the discretization of some nonlinear p.d.e.'s by implicit Runge´Kutta
methods // RAIRO Mod'el. Math. Anal. Num'er., 31(2): p.251--287, 1997.

################# ######### 43
[470] Akrivis G., Dougalis V. A., Karakashian O., McKinney W.R. Galerkin--finite
element methods for the nonlinear Schr?odinger equation // In Hellenic research
in mathematics and informatics '92 (Athens, 1992), p. 421--442. Hellenic Math.
Soc., Athens, 1992.
[471] Akutagawa K. On a one´parameter subgroup of U st (H) whose infinitesimal gen´
erator has only a singularly continuous part // Mem. Fac. Sci. Kyushu´Univ. Ser.
A. 40 (1986), no. 1, p. 45--50.
[472] Alaarabiou El H., B'enilan P. Sur le carr'e d'un op'erateur non lin'eaire // Arch.
Math. (Basel), 66(4): p.335--343, 1996.
[473] Alaarabiou El H., B'enilan P. Une version abstraite du th'eor`eme de Crandall´
Liggett // C. R. Acad. Sci. Paris S'er. I Math., 320(8): p.923--928, 1995.
[474] Alabau F., Lunardi A. Behavior near the travelling wave solution of a free bound´
ary system in combustion theory // Dynamic Systems Appl., 1(4): p.391--417,
1992.
[475] Alaoui L. Age´dependent population dynamics and translation semigroups//
Semigroup Forum 57, No.2, p. 186´207 (1998).
[476] Alaoui L. Generators of translation semigroups and asymptotic behavior of the
Sharpe´Lotka model// W Differ. Integral Equ. 9, No.2, p. 343´362 (1996).
[477] Alaoui L. Translation semigroups and population dynamics. Tuebingen: Univ.
Tuebingen, Math.´Fak. 128 p. (1995).
[478] Alaoui L., Arino O. Compactness and spectral properties for positive translation
semigroups associated to models of populations dynamics // Differ. Integral Equ.
6, No.2.´ p. 459´480 (1993).
[479] Alart P. Convergence d'un schema de discretisation implicite pour une equation
d'evolution multivoque via une regularisation. [Convergence of an implicit dis´
cretization scheme for a multivalued evolution equation via a regularization]//
Collection: Seminaire d 'analyse convexe, Vol. 14 (Montpellier, 1984), Exp. No.
3, 23 pp. Univ. Sci. Tech. Languedoc, Montpellier, 1984.
[480] Albeverio S. at al. Non´Gaussian infinite´dimensional analysis // J. Funct. Anal.,
138(2): p.311--350, 1996.
[481] Albrecht David, Franks Edwin, and McIntosh Alan. Holomorphic functional
calculi and sums of commuting operators// Bull. Austral. Math. Soc., 58(2):291--
305, 1998.

44 ################# #########
[482] Alfaro M., Dehesa J.S. et al. Ortogonal polynomials and their applications //
Lecture Notes on Math.´ N 1329. ´ 1988.´ 334p.
[483] Alicki R., Fannes M. Dilations of quantum dynamical semigroups with classical
Brownian motion. // Comm. Math. Phys. 108 (1987), no. 3, p. 353--361.
[484] Alikakos N., Bates P. Stabilization of solutions for a class of degenerate equations
in divergence form in one space dimension // J. Differential Equations, 73(2):
p.363--393, 1988.
[485] Alikakos N., Hess P. Liapunov operators and stabilization in strongly order pre´
serving dynamical systems // Differential Integral Equations, 4(1): p.15--24,
1991.
[486] Alikakos N., Hess P. On stabilization of discrete monotone dynamical systems //
Israel J. Math., 59(2): p.185--194, 1987.
[487] Alikakos N., Hess P., Matano H. Discrete order preserving semigroups and sta´
bility for periodic parabolic differential equations // J. Differential Equations,
82(2): p.322--341, 1989.
[488] Aliprantis C.D., Burkinshaw O. Positive Operators.´ Academic Press , 1985.´ 367
p.
[489] Allan G.R. Power´bounded elements and radical Banach algebras // Janas, Jan
(ed.) et al., Linear operators. Proceedings of the semester organized at the Stefan
Banach International Mathematical Center, Warsaw, Poland, February 7´May
15, 1994. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach
Cent. Publ. 38, p. 9´16 (1997).
[490] Alonso´Mallo I., Palencia C. On the convolution operators arising in the study
of abstract initial´boundary value problems // Proc. Roy. Soc. Edinburgh Sect.
A, 126(3): p.515--539, 1996.
[491] Alonso Mallo I., Palencia C. Runge´Kutta methods for partial differential equa´
tions and fractional orders of convergence // In XV Congress on Differential
Equations and Applications/V Congress on Applied Mathematics, Vol. I, II
(Spanish) (Vigo, 1997), p. 551--556. Univ. Vigo, Vigo, 1998.
[492] Altomare, F. Positive projections approximation processes and degenerate dif´
fusion equations // In Conferenze Del Seminario Mathematics p. 57´82, Bari.
Atti del Convergo internazionale su resol sviluppi in analisi matematica e sue
applicazioni, Gius.Laterza & Figli S.prededicato al Prof. G. Aquaro in occasione
del suo 70 compleanno. (1991).

################# ######### 45
[493] '
Alvarez L., Guichard F., Lions P.´L., Morel J.´M. Axiomes et 'equations fonda´
mentales du traitement d'images (analyse multi'echelle et EDP) // C. R. Acad.
Sci. Paris S'er. I Math., 315(2): p.135--138, 1992.
[494] Amann H. A note on degree theory for gradient mappings // Proc. Amer. Math.
Soc., 85(4): p.591--595, 1982.
[495] Amann H. Dual semigroups and second order linear elliptic boundary value prob´
lems // Isr. J. Math.´ 1983.´ 45 (2´3).´ p. 225´254.
[496] Amann H. Dynamic theory of quasilinear parabolic equations. I. Abstract evo´
lution equations // Nonlinear Anal., 12(9): p.895--919, 1988.
[497] Amann H. Dynamic theory of quasilinear parabolic equations. II. Reaction´
diffusion systems // Differential Integral Equations, 3(1): p.13--75, 1990.
[498] Amann H. Dynamic theory of quasilinear parabolic systems. III. Global existence
// Math. Z., 202(2): p.219--250, 1989.
[499] Amann H. Existence and regularity for semilinear parabolic evolution equations
// Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 11(4): p.593--676, 1984.
[500] Amann H. Feedback stabilization of linear and semilinear parabolic systems //
In Semigroup theory and applications (Trieste, 1987), p. 21--57. Dekker, New
York, 1989.
[501] Amann H. Global existence for a class of highly degenerate parabolic systems //
Japan J. Indust. Appl. Math., 8(1): p.143--151, 1991.
[502] Amann H. Global existence for semilinear parabolic systems // J. Reine Angew.
Math., 360: p.47--83, 1985.
[503] Amann H. Linear and quasilinear parabolic problems. Vol. 1, Abstract linear
theory. Birkhauser, Basel, 1995.
[504] Amann H. Multiple periodic solutions of autonomous Hamiltonian systems // In
Recent contributions to nonlinear partial differential equations, p.14--23. Pitman,
Boston, Mass., 1981.
[505] Amann H. Nonhomogeneous linear and quasilinear elliptic and parabolic bound´
ary value problems // In Function spaces, differential operators and nonlinear
analysis (Friedrichroda, 1992), p.9--126. Teubner, Stuttgart, 1993.
[506] Amann H. On abstract parabolic fundamental solutions // J. Math. Soc. Jap.´
1987.´ 39, 1.´ p. 93´116.

46 ################# #########
[507] Amann H. On the unique solvability of semilinear operator equations in Hilbert
spaces // J. Math. Pures Appl. (9), 61(2): p.149--175, 1982.
[508] Amann H. Operator´valued Fourier multipliers, vector´valued Besov spaces, and
applications // Math. Nachr., 186: p.5--56, 1997.
[509] Amann H. Parabolic evolution equations in interpolation and extrapolation
spaces // J. Funct. Anal.´ 1988.´ 78, 2.´ p. 233´270.
[510] Amann H. Parabolic evolution equations and nonlinear boundary conditions //
J. Differential Equations, 72(2): p.201--269, 1988.
[511] Amann H. Parabolic evolution equations with nonlinear boundary conditions //
In Nonlinear functional analysis and its applications, Part 1 (Berkeley, Calif.,
1983), p.17--27. Amer. Math. Soc., Providence, R.I., 1986.
[512] Amann H. Quasilinear evolution equations and parabolic systems // Trans.
Amer. Math. Soc., 293(1): p.191--227, 1986.
[513] Amann H. Quasilinear parabolic systems under nonlinear boundary conditions
// Arch. Rational Mech. Anal., 92(2): p.153--192, 1986.
[514] Amann H. Remarks on quasilinear parabolic systems // In Nonlinear variational
problems, Vol. II (Isola d'Elba, 1986), p. 3--9. Longman Sci. Tech., Harlow, 1989.
[515] Amann H. Saddle points and nonlinear differential equations // In Nonlinear
analysis (Berlin, 1979), p. 11--17. Akademie´Verlag, Berlin, 1981.
[516] Amann H. Semigroups and nonlinear evolution equations // In Proceedings of
the symposium on operator theory (Athens, 1985), volume 84, p.3--32, 1986.
[517] Amann H. Semilinear parabolic systems // Comment. Math. Univ. Carolin.,
26(1): p.3--21, 1985.
[518] Amann H. Semilinear parabolic systems under nonlinear boundary conditions//
Collection: Dynamics of infinite´dimensional systems (Lisbon, 1986), p. 1--6.
NATO Adv. Sci. Inst. Ser. F: Comput. Systems Sci., 37, Springer, Berlin´New
York, 1987.
[519] Amann H. Stability of the rest state of a viscous incompressible fluid // Arch.
Rational Mech. Anal., 126(3): p.231--242, 1994.
[520] Amann H. Escher J. Strongly continuous dual semigroups // Ann. Mat. Pura
Appl. (4), 171: p.41--62, 1996.

################# ######### 47
[521] Amann H., Fila M. A Fujita´type theorem for the Laplace equation with a
dynamical boundary condition // Acta Math. Univ. Comenian. (N.S.), 66(2):
p.321--328, 1997.
[522] Amann H., Hieber M., Simonett G. Bounded H1 ´calculus for elliptic operators
// Differential Integral Equations, 7(3´4): p.613--653, 1994.
[523] Amann H., L'opez´G'omez J. A priori bounds and multiple solutions for superlin´
ear indefinite elliptic problems // J. Differential Equations, 146(2): p.336--374,
1998.
[524] Amann H., Zehnder E. Multiple periodic solutions for a class of nonlinear au´
tonomous wave equations // Houston J. Math., 7(2): p.147--174, 1981.
[525] Amerio M., Prouse G. Almost´periodic functions and functional equations. ´
N.Y., 1971.
[526] Ames K.A. Comparison results for related properly and improperly posed Cauchy
problems for second´order operator equations. // Differ. Equations ´ 1982, 44,
N3 ´ p. 383´399.
[527] Ames K.A. On the comparison of solutions of related properly and improperly
posed Cauchy problems for first order operator equations // SIAM J. Math.
Anal. ´ 1982, 13, N4 ´ p. 594´606.
[528] Ames W.F., Lee D. Current development in the numerical treatment of ocean
acoustic propogation // Appl. Numer. Math.´ 1987, vol.3, N 1´2.´ p. 25 ´ 47.
[529] Amini S, Baker C.T.H., van der Houwen Pieter J., Wolkenfelt P.H.M. Stability
analysis of numerical methods for Volterra integral equations with polynomial
convolution kernels // J. Integral Equations, 5(1): p.73--92, 1983.
[530] Amleh A. M., Grove E. A., Kent C. M., Ladas G. On some difference equations
with eventually periodic solutions // J. Math. Anal. Appl., 223(1): p.196--215,
1998.
[531] Andres J., Krajc B. Unified approach to bounded, periodic and almost periodic
solutions of differential systems. (English) , Pr. Nauk. Uniw. Slask. Katowicach,
Ann. Math. Silesianae 1665, No.11, p. 39´53 (1997).
[532] Andreu F., Caselles V., Martinez J., Maz'on J. M. The essential spectrum of
AM´compact operators // Indag. Math. (N.S.), 2(2): p.149--158, 1991.

48 ################# #########
[533] Andreu F., Mart'inez J., Maz'on J. M. A spectral mapping theorem for perturbed
strongly continuous semigroups // Math. Ann., 291(3): p.453--462, 1991.
[534] Andreu F., Mazon J.M. On the boundary spectrum of dominated C 0 ´semigroup
// Semigroup Forum.´ 1989.´ 38, 2.´ p. 129´139.
[535] Andreu F., Maz'on J. M. Relation between the boundary point spectrum of a
generator and of its adjoint // Publ. Mat., 34(2): p.389--396, 1990.
[536] Angenent Sigurd. Constructions with analytic semigroups and abstract expo´
nential decay results for eigenfunctions// In Topics in nonlinear analysis, pages
11--27. Birkh?auser, Basel, 1999.
[537] Anselone P.M. Collectively compact operator approximation Theory, Prentice´
Hall, New Jersey, 1971.
[538] Anselone P., Ansorge R. Discrete closure and asymptotic (quasi) regularity on
discretization algorithms // IMA J. Numer. Anal.´ 1987, 7, N 4.´ p.431´448.
[539] Anselone P.M., Lei Jingan. Nonlinear operator approximation theory based on
demi´recular convergence // Acta Math. Scientic.´ 1986, 6, N 2.´ p. 121 ´ 132.
[540] Anselone P.M., Treuden M.L. Regular operator approximation theory // Pacif.
J. of Math. 120 (1985), N 2, p. 257´268.
[541] Ar`andiga F., Caselles V. Approximations of positive operators and continuity of
the spectral radius // J. Operator Theory, 26(1): p.53--71, 1991.
[542] Ar`andiga F., Caselles V. Approximations of positive operators and continuity of
the spectral radius. II // Math. Z., 209(4): p.547--558, 1992.
[543] Ar`andiga F., Caselles V. Approximations of positive operators and continuity of
the spectral radius. III // J. Austral. Math. Soc. Ser. A, 57(3): p.330--340, 1994.
[544] Ar`andiga F., Caselles V. Multiresolution approach to the approximation of the
leading eigenelements of some neutron transport operators // Transport Theory
Statist. Phys., 25(2): p.121--149, 1996.
[545] Arandiga F., Caselles V. On strongly stable approximations // Revista Matem´
atica de la Universidad Comp. de Madrid 7 (1994), N 2, p. 207´217.
[546] Ardito A., Vernole P. A dalay parabolic Cauchy´Dirichlet problem in interpola´
tion space // Nonlinear Anal. Theory, Meth. Appl., 1985, 9 N 5, p. 445 ´ 454.

################# ######### 49
[547] Arendt W. Gaussian estimates and interpolation of the spectrum in L p // Differ.
Integral Equ.´ 1994.´ 7, No. 5´6, p. 1153´1168.
[548] Arendt W. Generators of positive semigroups // In Infinite´dimensional systems
(Retzhof, 1983), p.1--15. Springer, Berlin, 1984.
[549] Arendt W. Kato's equality and spectral decomposition for positive C 0 ´groups //
Manuscr. Math.´ 1982.´ 40.´ p. p. 277´298.
[550] Arendt W. Kato's inequality: a characterisation of generators of positive semi´
groups // Proc. Roy. Irish. Acad.´ 1984.´ A84, 2.´ p. 155´174.
[551] Arendt W. On the o´spectrum of regular operators and the spectrum of measures
// Math. Z., 178(2): p.271--287, 1981.
[552] Arendt W. Resolvent positive operators // Proc. London. Math. Soc.´ 1987.´
54(2), 3.´ p. 321´349.
[553] Arendt W. Semigroup properties by Gaussian estimates // S?urikaisekikenky?usho
K?oky?uroku, (1009): p.162--180, 1997. Nonlinear evolution equations and their
applications (Japanese) (Kyoto, 1996).
[554] Arendt W. Sobolev imbeddings and integrated semigroups // In Semigroup the´
ory and evolution equations (Delft, 1989), p.29--40. Dekker, New York, 1991.
[555] Arendt W. Spectral mapping theorems for compact and locally compact abelian
groups of operators // In Proceedings of the Seminar on Harmonic Analysis
(Pisa, 1980), v. 1981, p. 105--106.
[556] Arendt W. Spectral properties of Lamperti operators // Indiana Univ. Math. J.,
32(2): p.199--215, 1983.
[557] Arendt W. Spectrum and growth of positive semigroups // In Evolution equations
(Baton Rouge, LA, 1992), p.21--28. Dekker, New York, 1995.
[558] Arendt W. Vector´valued Laplace transforms and Cauchy problems // Isr. J.
Math.´ 1987.´ 59, 3.´ p. 327´352.
[559] Arendt W. Vector´valued versions of some representation theorems in real anal´
ysis // In Functional analysis (Essen, 1991), p.33--50. Dekker, New York, 1994.
[560] Arendt W. et al. One parameter semigroups of positive operators // Lect. Notes
Math.´ 1986.´ 1184.´ 460 c.

50 ################# #########
[561] Arendt W., Batty C.J.K. A complex Tauberian theorem and mean ergodic semi´
groups // Semigroup Forum, 50(3): p.351--366, 1995.
[562] Arendt W., Batty C.J.K. Absorption semigroups and Dirichlet boundary condi´
tions // Math. Ann., 295(3): p.427--448, 1993.
[563] Arendt W., Batty C.J.K. Almost periodic solutions of first´ and second´order
Cauchy problems J. Differential Equations, 137(2): p.363--383, 1997.
[564] Arendt W., Batty C.J.K. Asymptotically almost periodic solutions of inhomoge´
neous Cauchy problems on the half´line // J. Lond. Math. Soc., II. Ser. 31(3):
p.291--304, 1999.
[565] Arendt W. and Batty C.J.K. Slowly oscillating solutions of Cauchy problems
with countable spectrum// Proc. Roy. Soc. Edinburgh Sect. A, 130(3):471--484,
2000.
[566] Arendt W., Batty C. J. K. Domination and ergodicity for positive semigroups
// Proc. Amer. Math. Soc., 114(3): p.743--747, 1992.
[567] Arendt W., Batty C. J. K. Exponential stability of a diffusion equation with
absorption // Differential Integral Equations, 6(5): p.1009--1024, 1993.
[568] Arendt W., Batty C. J. K. L'holomorphie du semi´groupe engendr'e par le lapla´
cien Dirichlet sur L 1 (!) // C. R. Acad. Sci. Paris S'er. I Math., 315(1): p.31--35,
1992.
[569] Arendt W., Batty C. J.K. Principal eigenvalues and perturbation // In Operator
theory in function spaces and Banach lattices, p.39--55. Birkh?auser, Basel, 1995.
[570] Arendt W., Batty C.J.K. Tauberian theorems and stability of one´parameter
semigroups // Trans. Amer. Math. Soc.´ 1988.´ 306, 2.´ p. 837´852.
[571] Arendt W., Batty C.J.K. The spectral bound of Schr?odinger operators // Po´
tential Anal., 5(3): p.207--230, 1996.
[572] Arendt W., Batty C.J.K. The spectral function and principal eigenvalues for
Schr?odinger operators // Potential Anal., 7(1): p.415--436, 1997.
[573] Arendt W., Batty C.J.K., B'enilan P. Asymptotic stability of Schr?odinger semi´
groups on L 1 (R N ) // Math. Z., 209(4): p.511--518, 1992.
[574] Charles J. K. Batty and Mark D. Blake. Convergence of Laplace integrals. C.
R. Acad. Sci. Paris S'er. I Math., 330(2):71--75, 2000.

################# ######### 51
[575] Arendt W., Batty C.J.K., Robinson D.W. Positive semigroups generated by el´
liptic operators on Lie groups // J. Operator Theory, 23(2): p.369--407, 1990.
[576] Arendt W., B'enilan P. Inegalit'es de Kato et semi´groupes sous´markoviens //
Rev. Mat. Univ. Complut. Madrid, 5(2´3): p.279--308, 1992.
[577] Arendt W., Bukhvalov A. Integral representations of resolvents and semigroups
// Forum Math., 6(1): p.111--135, 1994.
[578] Arendt W., Chernoff P., Kato T. A generalisation of dissipativity and positive
semigroups // J. Oper. Theory.´ 1982.´ 8(1).´ p.167´180.
[579] Arendt W., D'Antoni C. A spectral mapping theorem for representations of com´
pact groups // Z. Anal. Anwendungen, 2(2): p.127--133, 1983.
[580] Arendt W., Driouich A., El´Mennaoui O. On the infinite product of C 0 ´
semigroups // J. Funct. Anal., 160(2): p.524--542, 1998.
[581] Arendt W., El´Mennaoui O., Hieber M. Boundary values of holomorphic semi´
groups // Proc. Amer. Math. Soc., 125(3): p.635--647, 1997.
[582] Arendt W., El´Mennaoui O., Keyantuo V. Local integrated semigroups: evolu´
tion with jumps of regularity // J. Math. Anal. & Appl. 186, No.2, p. 572´595
(1994).
[583] Arendt W., Favini A. Integrated solutions to implicit differential equations //
Rend. Sem. Mat. Univ. Politec. Torino, 51(4): p.315--329 (1994), 1993. Partial
differential equations, I (Turin, 1993).
[584] Arendt W., Greiner G. The spectrum mapping theorem for one´parameter groups
of positive operators on C 0 (X) // Semigroups Forum.´ 1984.´ 30(3).´ p. 297´330.
[585] Arendt W., Kellerman H. Integrated solutions of Volterra integro´differential
equations and applications // Tubirigen, Math. Institute der Univ. Preprint.´
1987.
[586] Arendt W., Kellerman H. Integrated solutions of Volterra integrodifferential
equations and applications // In Volterra integrodifferential equations in Banach
spaces and applications (Trento, 1987), p.21--51. Longman Sci. Tech., Harlow,
1989.
[587] Arendt W., Kellermann H. Integrated solutions of Volterra integro´differential
equations and applications // Semesterber. Funktional.´ 1987, Bd.12 ´ p. 141´
166.

52 ################# #########
[588] Arendt W., Monniaux S. Domain perturbation for the first eigenvalue of the
Dirichlet Schr?odinger operator // In Partial differential operators and mathe´
matical physics (Holzhau, 1994), p.9--19. Birkh?auser, Basel, 1995.
[589] Arendt W., Neubrander F., Schlotterbeck U. Interpolation of semigroups and
integrated semigroups // Semigroup Forum, 45(1): p.26--37, 1992.
[590] Arendt W., Pr?uss J. Vector valued Tauberian theorems and asymptotic behaviour
of linear Volterra equations // SIAM Appl. Math.´ 1992.´ 23(2) .´ p. 412´448.
[591] Arendt W., R?abiger F., Sourour A. Spectral properties of the operator equation
AX +XB = Y // Quart. J. Math. Oxford Ser. (2), 45(178): p.133--149, 1994.
[592] Arendt W., Rhandi A. Perturbation of positive semigroups // Arch. Math.
(Basel), 56(2): p.107--119, 1991.
[593] Arendt W., Schwarz H.´U. Ideale regul?arer Operatoren und Kompaktheit posi´
tiver Operatoren zwischen Banachverb?anden // Math. Nachr., 131: p.7--18, 1987.
[594] Arendt W., Sourour A. R. Ideals of regular operators on l 2 // Proc. Amer.
Math. Soc., 88(1): p.93--96, 1983.
[595] Arendt W., Sourour A. R. Perturbation of regular operators and the order es´
sential spectrum // Nederl. Akad. Wetensch. Indag. Math., 48(2): p.109--122,
1986.
[596] Arendt W., Voigt J. Approximation of multipliers by regular operators // Indag.
Math. (N.S.), 2(2): p.159--170, 1991.
[597] Arendt W., Voigt J. Domination of uniformly continuous semigroups // Acta
Appl. Math., 27(1´2): p.27--31, 1992. Positive operators and semigroups on Ba´
nach lattices (Cura?cao, 1990).
[598] Arias M., Martinez´Amores P., Ortega R. Doubly´periodic solutions of a forced
semilinear wave equation // Proc. Amer. Math. Soc.´ 1´87, 101, N3 ´ p. 503´508.
[599] Arigu M. A., Twizell E. H., Gumel A. B. Sequential and parallel methods for solv´
ing first´order hyperbolic equations // Comm. Numer. Methods Engrg., 12(9):
p.557--568, 1996.
[600] Arino O., Kimmel M. A nondifferentiable semigroup generated by a model of cell
population dynamics // Appl. Math. Comput. Sci., 4(2): p.211--221, 1994.

################# ######### 53
[601] Arino O., Sanchez E., Webb G.F. Necessary and sufficient conditions for asyn´
chronous exponential growth in age structured cell populations with quiescence
// J. Math. Anal. Appl. 215, No.2, p. 499´513, Art. No.AY975654 (1997).
[602] Arlotti L. The Cauchy problem for the linear Maxwell´Boltzmann equation // J.
Differential Equations 69 (1987), no. 2, 166--184.
[603] Arndt H., Baker C. T. H. Runge´Kutta formulae applied to Volterra functional
equations with a fixed delay // In Numerical treatment of differential equations
(Halle, 1987), p. 19--30. Teubner, Leipzig, 1988.
[604] Arora S.C., Sharma S. On two´parameter semigroup of operators // Functional
analysis and operator theory, Proc. Conf. Mem. U. N. Singh, New Delhi/India
1990, Lect. Notes Math. 1511, p. 147´153 (1992).
[605] Arora S.C., Sharma S. On two´parameter semigroup of operators. II // Bull.
Calcutta Math. Soc., 84(3): p.207--216, 1992.
[606] Arosio A. Abstract linear hyperbolic equations with variable domain // Ann.
Mat. Pure et Appl.´ 1983.´p. 173´218.
[607] Arosio A. Abstract linear hyperbolic equations asymptotic equivalence as t !1
// Port. Math.´ 1982.´ 41, 1´4.´ p. 351´366.
[608] Arosio A. Global solvability of second order evolution equation in Banach scales
//Lect. Notes. Math. Calculus of variations and partial differential equations
(Trento, 1986), Springer, Berlin, 1988. ´ 1988.´ 1340.´ c. 1´10.
[609] Arosio A., Spagnolo S. Global existence for abstract evolution equations of weakly
hyperbolic type, II // J. Math. Pure et Appl.´ 1986.´ 65, 3.´ p. 263´305.
[610] Arrate M., Palencia C. Local existence and uniqueness for ordinary differen´
tial equations in Banach spaces // In Proceedings of the ninth conference of
Portuguese and Spanish mathematicians, 1 (Salamanca, 1982), pages 413--416,
Salamanca, 1982. Univ. Salamanca.
[611] Asadzadeh M., Kumlin P., Larsson S. The discrete ordinates method for the
neutron transport equation in an infinite cylindrical domain // Math. Models
Methods Appl. Sci., 2(3): p.317--338, 1992.
[612] Ashyralyev A. On uniform difference schemes of a high order of approximation
for evolution equations with a small parameter // Numer. Funct. Anal. Optim.,
10(5´6):593--606, 1989.

54 ################# #########
[613] Ashyralyev A. On uniform difference schemes of a higher order of approximation
for elliptical equations with a small parameter // Appl. Anal., 36(3´4): p.211--
220, 1990.
[614] Ashyralyev A. Well´posed solvability of the boundary value problem for difference
equations of elliptic type // Nonlinear Anal., 24(2): p.251--256, 1995.
[615] Ashyralyev A., Fattorini H. O. On uniform difference schemes for second´order
singular perturbation problems in Banach spaces // SIAM J. Math. Anal., 23(1):
p.29--54, 1992.
[616] Ashyralyev A., Sobolevskii P.E. Well´posed solvability of the Cauchy problem
for difference equations of parabolic type // Nonlinear Anal., 24(2): p.257--264,
1995.
[617] Ashyralyev A., Sobolevskii P.E. Well posedness of parabolic differential equa´
tions. Operator Theory Advances and Applications, Vol. 69, Birkh?ausser Verlag,
Basel, 1994. 349 p.
[618] Aubin J.´P. , Da Prato G. Contingent solutions to the center manifold equation
// Ann. Inst. H. Poincar'e Anal. Non Lin'eaire, 9(1): p.13--28, 1992.
[619] Aubin J.´P. , Da Prato G. Solutions contingentes de l''equation de la vari'et'e
centrale // C. R. Acad. Sci. Paris S'er. I Math., 311(6): p.295--300, 1990.
[620] Aubin J.´P. , Da Prato G. Stochastic Lyapunov method // NoDEA Nonlinear
Differential Equations Appl., 2(4): p.511--525, 1995.
[621] Aubin J.´P. , Da Prato G. Stochastic Nagumo's viability theorem // Stochastic
Anal. Appl., 13(1): p.1--11, 1995.
[622] Aubin J.´P. , Da Prato G. Stochastic viability and invariance // Ann. Scuola
Norm. Sup. Pisa Cl. Sci. (4), 17(4): p.595--613, 1990.
[623] Aubin J.´P. , Da Prato G. The viability theorem for stochastic differential inclu´
sions // Stochastic Anal. Appl., 16(1): p.1--15, 1998.
[624] Aulbach B., Nguyen Van Minh. Semigroups and differential equations with al´
most periodic coefficients // Nonlinear Anal., Theory Methods Appl. 32, No.2,
p. 287´297 (1998).
[625] Autret L. Entire vectors and time reversible Cauchy problems // Semigroup
Forum.´ 1993.´ 46.´ p. 347´351.

################# ######### 55
[626] Autret L., de Laubenfels R. Vecteurs semi´analytiques et probl'emes de Cauchy du
second ordre mal´pos'es. (Semianalytic vectors and second´order ill´posed Cauchy
problems) // (French. Abridged English version) , C. R. Acad. Sci., Paris, Ser.
I, 321, No.3, p. 271´275 (1995).
[627] Autret L., Emamirad H. Entire propagator // Proc. Amer. Math. Soc., 120(4):
p.1151--1158, 1994.
[628] Avalos G., Lasiecka I. Exponential stability of an uncontrolled thermoelastic
system with varying boundary conditions // Appl. Anal., 68(1´2): p.31--49,
1998.
[629] Avalos G., Lasiecka I. The strong stability of a semigroup arising from a coupled
hyperbolic/parabolic system // Semigroup Forum, 57(2): p.278--292, 1998.
[630] Avalos G., Lasiecka I. Uniform decays in nonlinear thermoelastic systems // In
Optimal control (Gainesville, FL, 1997), p. 1--23. Kluwer Acad. Publ., Dordrecht,
1998.
[631] Aviles P., Sandefur J.T. Nonlinear second order equalitions with applocations to
partial differential equalitions // J. Diff. Equat.´ 1985, 58.´ p. 404 ´ 427.
[632] Avrin J.D. Convergence properties of strongly damped semilinear wave equations
// Collection: Nonlinear semigroups, partial differential equations and attractors
(Washington, D.C., 1985), 1--4, Lecture Notes in Math., 1248, Springer, Berlin´
New York, 1987.
[633] Avrin J.D. Convergence properties of the strongly damped nonlinear Klein´
Gordon equation // J. Differential Equations, 67 (1987), no. 2, p. 243--255.
[634] Axelsson O. A generalized conjugate gradient, least square method. // Numer.
Math.´ 1987, 51, N2 ´ p. 209´227.
[635] Azbelev N., Maksimov V., Rakhmatullina L. Introduction to the theory of linear
functional´differential equations. World Federation Publishers Company, Atlanta,
GA, 1995.
[636] B?abescu Gh. A relation between second´order differential linear equations and
functions of cosine operators in Banach spaces // Inst. Politehn. ``Traian Vuia''
Timi?soara. Lucr?ar. Sem. Mat. Fiz., 1982: p.13--16.
[637] B?abesku Gh. Applications of trigonometric operator functions in the study of
linear differential equations of higher order // Proc. 2´nd Symp. Math. Appl.
Timisoara.´ 1988.´ p. 19´24.

56 ################# #########
[638] B?abesku Gh. Bromwich's type representations for cosine and sine functions //
Semin. Equat. Funct. Univ. Timisoara.´ 1987.´ 85.´ p. 1´7.
[639] B?abescu Gh. Convergence properties of sequence B´valued cosine functions. I //
In Proceedings of the Third Symposium of Mathematics and its Applications
(Timi?soara, 1989), p. 97--104, Timi?soara, 1990. Rom. Acad.
[640] B?abescu Gh. Convergence properties of sequences of B´valued cosine functions.
II // Inst. Politehn. ``Traian Vuia'' Timi?soara Lucr?ar. Sem. Mat. Fiz., 1989(May´
November): p.6--22.
[641] Gh. B?abescu. Convergence properties of sequences [of] B´valued cosine functions.
III // Bul. S?tiint?. Tehn. Univ. Tehn. Timi?soara Mat. Fiz., 37(51): p.82--86, 1992.
[642] B?abescu Gh. Integral representations of cosine operator functions // Stud. Cerc.
Mat., 37(3): p.261--266, 1985.
[643] B?abescu Gh. On the boundedness and continuity of semigroups of operators
of cosine´exponential type // Bul. Stiint. Tehn. Inst. Politehn. ``Traian Vuia''
Timisoara, 23(37)(1): p.15--17 (1979), 1978.
[644] B?abescu Gh. On the D'Alembert's functional equation in the Banach algebras //
Bul. S?ti. Tehn. Inst. Politehn. ``Traian Vuia'' Timi?soara, 21 (35)(2): p.136--138,
1976.
[645] Gh. B?abescu. On the single´valued extension property of linear bounded opera´
tors in Banach spaces // Bul. S?tiint?. Tehn. Univ. Tehn. Timi?soara Mat. Fiz.,
36(50): p.5--9, 1991.
[646] B?abesku Gh. Regularity and uniform continuity properties of cosine and sine
class of operators // Lucr. Semin. Math. Fis. Inst. politehn. Timisoara.´ 1983.´
November.´ p. 47´50.
[647] B?abesku Gh. Representari integrale ale functiilor operatoriale cosinus // Stud.
si cerc. mat.´ 1985.´ 37, 3.´ p. p. 261´266.
[648] B?abesku Gh. Semigroups of operators associated with cosine operator func´
tions // Lucr. Semin. Math. Si Fiz. Inst. Politehn. Train Vuia, Timisoara.´ 1983
(May).´ p. 65´70 .
[649] B?abesku G. Spectral theorems for functions whose values are cosine and sine op´
erators // Bul. Stiint. Tehn. Inst. Politehn. ``Traian Vuia'' Timisoara, 27(41)(1):
p.13--20, 1982.

################# ######### 57
[650] B?abescu Gh. The characterizations of the convergence of sequences of B´valued
cosine functions // In Proceedings of the Fourth Symposium of Mathematics
and its Applications (Timi?soara, 1991), p. 22--27, Timi?soara, 1992. Mirton.
[651] B?abesku Gh. ?
Uber kosinus familien von liniaren stark stetigen operatoren und
ihren infinitesimalen generatoren // Bul. Sti. Tehn. Inst. politehn. Timisoara.
Ser. Math.´ Fiz.´ 1980.´ 25, 1.´ p. 12´17.
[652] B?abesku Gh., Hiris V. Bounded perturbations for N´order differential equations
// Prepr. Babes´blyai Univ. Fac. Math. Res. Semin.´ 1986.´ 3.´ p. 201´206 (####.).
[653] B?abesku Gh., Ggheorghiu O.E Pertubation theorem for equation u n = Au //
Prepr. Babes´blyai Univ. Fac. Math. Res. Semin.´ 1986.´ 3.´ p. 217´222 (####.).
[654] Babin A.V., Vishik M.I. Unstable invariant sets of semigroups of nonlinear op´
erators and their perturbations // Uspekhi´Mat. Nauk. 41 (1986), no. 4(250),
p.3--34, 239.
[655] Babuska I., Osborn J.E. Estimates for the errors on ergenvalue and eigenvector
approximation by Galerkin methods with particular attention to the case of
multiple eigenvalues // SIAM J. Numer. Anal.´ 1987, 24, N 6.´ p. 1249´1276.
[656] Bagdasaryan A.G. (Baghdasarian, A.G.) Characterization of generalized spaces
of the Nikol'skij ´ Besov type by means of semigroups of operators. (Russian) ,
Uch. Zap. Erevan. Gos. Univ., Estestv. Nauki 1994, No.2(181), 40´45 (1994).
[657] Baillon J.B. Caract`ere born'e de certains g'en'erateurs de semi´groupes lin'eaires
dans les espaces de Banach // C. R. Acad. Sci. Paris S'er. A´B, 290(16): p.757--
760, 1980.
[658] Baillon J.B. G'en'erateurs et semi´groupes dans les espaces de Banach // In Non´
linear partial differential equations and their applications. Coll`ege de France Sem´
inar, Vol. II (Paris, 1979/1980), p. 11--18, 386. Pitman, Boston, Mass., 1982.
[659] Baillon J.B. G'en'erateurs et semi´groupes dans les espaces de Banach uniforme´
ment lisses // J. Funct. Anal., 29(2): p.199--213, 1978.
[660] Baillon J.B. Un exemple concernant le comportement asymptotique de la solution
du probl`eme du=dt + @'(u) 3 0 // J. Funct. Anal., 28(3): p.369--376, 1978.
[661] Baillon J.B., Brezis H. Une remarque sur le comportement asymptotique des
semigroupes non lin'eaires // Houston J. Math., 2(1): p.5--7, 1976.

58 ################# #########
[662] Baillon J.B., Bruck R. E., Reich S. On the asymptotic behavior of nonexpansive
mappings and semigroups in Banach spaces // Houston J. Math., 4(1): p.1--9,
1978.
[663] Baillon J.B., Chadam J.M. The Cauchy problem for the coupled Schroedinger´
Klein´Gordon equations // In Contemporary developments in continuum me´
chanics and partial differential equations (Proc. Internat. Sympos., Inst. Mat.,
Univ. Fed. Rio de Janeiro, Rio de Jane, p. 37--44. North´Holland, Amsterdam,
1978.
[664] Baillon J.B., Cl'ement P. Ergodic theorems for nonlinear Volterra equations in
Hilbert space // Nonlinear Anal., 5(7), p.789--801, 1981.
[665] Baillon J.B., Cl'ement Ph. Examples of unbounded imaginary powers of operators
// J. Funct. Anal., 100(2), p. 419--434, 1991.
[666] Baillon J.B., Guerre´Delabriere S. Optimal properties of contraction semigroups
in Banach spaces // Semigroup Forum, 50, No.2, p. 247´250 (1995).
[667] Baiocchi C., Crouzeix M. On the equivalence of A´stability and G´stability //
Appl. Numer. Math.´ 1989, 5, N 1´2.´ p.19´22.
[668] Bakaev N. A priori estimates for some classes of difference schemes // Canad. J.
Math., 48(2): p.244--257, 1996.
[669] Bakaev N. On variable stepsize Runge´Kutta approximations of a Cauchy prob´
lem for the evolution equation // BIT, 38(3): p.462--485, 1998.
[670] Bakaev N. Yu., Larsson S., Thom'ee V. Backward Euler type methods for
parabolic integro´differential equations in Banach space // RAIRO Mod'el. Math.
Anal. Num'er., 32(1): p.85--99, 1998.
[671] Bakaev N. Yu., Larsson S., Thom'ee V. Long time behaviour of backward dif´
ference type methods for parabolic equations with memory in Banach space //
East´West J. Numer. Math., 6(3): p.185--206, 1998.
[672] Baker G.A., Dougalis V.A., Karakashian O. On a higher order accurate fully
discrete Galerkin approximation to the Navier´Stokes equations // Math. Comp.,
39(160): p.339--375, 1982.
[673] Baker G.A., Dougalis V.A., Karakashian O. On multistep Galerkin discretiza´
tions of semilinear hyperbolic and parabolic equations // Nonlinear Anal., The´
ory, Meth. & Appl.´ 1980, 4, N 1.´ p. 579 ´ 597.

################# ######### 59
[674] Baker G.A., Dougalis V.A., Serbin S.M. An approximation theorem for second´
order evolution equations // Numer. Math.´ 1980, 35, 2.´ p. 127 ´ 142.
[675] Baker G.A., Dougalis V.A., Serbin S.M. High order accurate two´step approxi´
mations for hyperbolic equations // R.A.I.R.O. Numer. Anal.´ 1979, vol.13, N
3.´ p. 201 ´ 226.
[676] Baker J.A. D'Alambert's functional equation in Banach algebras // Acta Sci.
Math. Szeged.´ 1971.´ 32.´ p. 225´234.
[677] Baker J.A., Davidson K.R. Cosine, exponential and quadratic functions / Glass.
Mat.´ 1981.´ 16, 5.´ p. 269´274.
[678] Bakry D. Remarques sur les semigroupes de Jacobi // Hommage a P. A. Meyer
et J. Neveu. Paris: Societe Mathematique de France, Asterisque. 236, p. 23´39
(1996).
[679] Balachandran K. and Chandrasekaran M.. Existence of solutions of semilinear
differential equations with nonlocal conditions in Banach spaces// Tamkang J.
Math., 30(1), p. 21--28, 1999.
[680] Balakrishnan A.V. Abstract Cauchy problems of the elliptic type // Bull. Amer.
Math. Soc.´ 1958, 64, N 5.´p. 290 ´ 291.
[681] Balakrishnan A.V. An operational calculus for infinitesimal generators of semi´
groups. Trans. Amer. Math. Soc., 1959, 91.´ p. 330´353.
[682] Balakrishnan A.V. Applied functional analysis. Springer´Verlag, New York, sec´
ond edition, 1981.
[683] Balakrishnan A. V. Dynamics and control of articulated anisotropic Timoshenko
beams // In Dynamics and control of distributed systems, p.121--201. Cambridge
Univ. Press, Cambridge, 1998.
[684] Balakrishnan A.V. On a class of Riccati equations in a Hilbert space // Appl.
Math. Optim., 7(2): p.159--174, 1981.
[685] Balakrishnan, A.V. On superstable semigroups of operators // Dyn. Syst. Appl.
5, No.3, p. 371´383 (1996).
[686] Balakrishnan A.V. Stochastic regulator theory for a class of abstract wave equa´
tions // SIAM J. Control Optim., 29(6): p.1288--1299, 1991.

60 ################# #########
[687] Balas M.J. Finife´dimensional controllers for linear distributed parameters sys´
tem: exponential stability using residual mode filters // J. Math. Anal. and Appl.
1988.´ 133, N 2.´ p. 283´296.
[688] Bales L.A. Error estimates for single step fully discrete approximations for non´
linear second order hyperbolic equations // Comput. Math. Appl., 15(6´8):
p.535--553, 1988. Hyperbolic partial differential equations. V.
[689] Bales L.A. Higher´order single´step fully discrete approximations for nonlinear
second´order hyperbolic equations // Comput. Math. Appl. Part A, 12(4´5):
p.581--604, 1986. Hyperbolic partial differential equations, III.
[690] Bales L.A. Higher order single step fully discrete approximations for second order
hyperbolic equations with time dependent coefficients // SIAM J. Numer. Anal.,
23(1): p.27--43, 1986.
[691] Bales L.A. Higher´order single´step fully discrete approximations for second´order
hyperbolic equations // Comp. & Math. with Appl.´ 1986.´ 12A, N 4/5.´ p. 481
´ 604.
[692] Bales L.A. Higher order single step fully discrete approximations for second order
hyperbolic equations with time depedent coefficients // SIAM J. Numer. Anal.´
1986.´ 23, 1.´ p. 27´43.
[693] Bales L.A. Semidiscrete and single step fully discrete approximations for second
order hyperbolic equations with time´dependent coefficients // Math. Comp.,
43(168): p.383--414, 1984.
[694] Bales L.A. Semidiscrete and single step fully discrete finite element approxima´
tions for second order hyperbolic equations with nonsmooth solutions // RAIRO
Mod'el. Math. Anal. Num'er., 27(1): p.55--63, 1993.
[695] Bales L.A. Semidiscrete and single step fully discrete approximations for second
order hyperbolic equations with time´dependeut coefficients // Math. of Comp.´
1984, vol.43, N 168.´p. 383 ´ 414; 51 ´ 512.
[696] Bales L.A. Some remarks on post´processing and negative norm estimates for ap´
proximations to nonsmooth solutions of hyperbolic equations // Comm. Numer.
Methods Engrg., 9(8): p.701--710, 1993.
[697] Bales L.A. Supplement to: ``Semidiscrete and single step fully discrete approxi´
mations for second order hyperbolic equations with time´dependent coefficients''
// Math. Comp., 43(168): p.1--12, 1984.

################# ######### 61
[698] Bales L.A., Dougalis V. A. Cosine methods for nonlinear second´order hyperbolic
equations // Math. Comp., 52(186): p.299--319, S15--S33, 1989.
[699] Bales L.A., Dougalis V.A., Serbin S.M. Cosine methods for second´order hy´
perbolic equations with time´dependent coefficients // Math. Comput.´ 1985.´
vol.45, N 171.´ p. 65 ´ 89.
[700] Bales L.A., Karakashian O.A. Serbin S.M. On the A 0 ´ acceptability of rational
approximations to the exponcutial function with only real poles //BIT.´ 1988.´
28.´ N 1.´ p. 70´79.
[701] Bales L.A., Karakashvan O.A., Serbin S.M. On the stability of rational approxi´
mations to the cosine with only imaginary poles // BIT.´1988, 28, N 3.´ p. 625
´ 658.
[702] Bales L., Lasiecka I. Continuous finite elements in space and time for the non´
homogeneous wave equation // Comput. Math. Appl., 27(3): p.91--102, 1994.
[703] Bales L., Lasiecka I. Negative norm estimates for fully discrete finite element ap´
proximations to the wave equation with nonhomogeneous L 2 Dirichlet boundary
data // Math. Comp., 64(209): p.89--115, 1995.
[704] Ballotti M. Convergence rates for Wiener's theorem for contraction semigroups
// Houston´J. Math. 11 (1985), no. 4, p. 435--445.
[705] Ballotti M., Goldstein J., Parrott M. Almost periodic solutions of evolution equa´
tions // J. Math. Anal. Appl., 138(2): p.522--536, 1989.
[706] Balachandran K. and Anthoni S. Marshal. Controllability of second order semi´
linear ordinary differential systems in Banach spaces. J. Appl. Math. Stochastic
Anal., 12(3):265--277, 1999.
[707] Balachandran K. and Marshal Anthoni S.. Existence of solutions of second order
neutral functional´differential equations. Tamkang J. Math., 30(4):299--309, 1999.
[708] Banasiak J. Spectral theorems of Voigt type for linear Boltzmann equation with
external field // Transp. Theory Stat. Phys. 27, No.3´4, p. 241´255 (1998).
[709] Banasiak J. Remarks on the solvability of the inhomogeneous abstract Cauchy
problem for linear and semilinear evolution equations. Quaest. Math., 22(1), p.
83--92, 1999.
[710] Banks H.T., Kappel F. Transformation semigroups and L 1 ´approximation for
size structured population models // Semigroup Forum, 38(2): p.141--155, 1989.
Semigroups and differential operators (Oberwolfach, 1988).

62 ################# #########
[711] Banks H.T., Kappel F., Wang C. A semigroup formulation of a nonlinear size´
structured distributed rate population model // In Control and estimation of
distributed parameter systems: nonlinear phenomena (Vorau, 1993), p. 1--19.
Birkh?auser, Basel, 1994.
[712] Banks H.T., Kappel F., Wang C. Weak solutions and differentiability for size
structured population models // In Estimation and control of distributed pa´
rameter systems (Vorau, 1990), p. 35--50. Birkh?auser, Basel, 1991.
[713] Banks H.T., Rosen I.G. Fully discrete approximation methods for the estimation
of parabolic systems and boundary parameters // Acta Appl. Math.´ 1986, 7.´
p. 1´34.
[714] Baratchart L., Saff E., Wielonsky F. Rational interpolation of the exponential
function // Canad. J. Math., 47(6): p.1121--1147, 1995.
[715] Barbu V. H1 boundary control with state feedback: the hyperbolic case. SIAM
J. Control Optim., 33(3):684--701, 1995.
[716] Barbu V. H1 ´control for semilinear systems in Hilbert spaces // Systems Control
Lett., 21(1): p.65--72, 1993.
[717] Barbu V. Abstract periodic Hamiltonian systems // Adv. Differential Equations,
1(4): p.675--688, 1996.
[718] Barbu V. Feedback control of time dependent Stokes flows // In Optimal control
of viscous flow, p.63--77. SIAM, Philadelphia, PA, 1998.
[719] Barbu V. Nonlinear semigroups and differential equations in Banach spases //
Noordhoff.´ Leyden.´1976.
[720] Barbu V. Optimal control of linear periodic resonant systems in Hilbert spaces
// SIAM J. Control Optim., 35(6): p.2137--2156, 1997.
[721] Barbu V. Optimal control of Navier´Stokes equations with periodic inputs //
Nonlinear Anal., 31(1´2): p.15--31, 1998.
[722] Barbu V. Partial differential equations and boundary value problems. Kluwer
Academic Publishers, Dordrecht, 1998. Translated and revised from the 1993
Romanian original by the author.
[723] Barbu V. Semilinear periodic optimal control problems // Rev. Roumaine Math.
Pures Appl., 42(9´10): p.737--751, 1997. Collection of papers in honour of Aca´
demician Radu Miron on his 70th birthday.

################# ######### 63
[724] Barbu V. The H1 ´problem for infinite´dimensional semilinear systems // SIAM
J. Control Optim., 33(4): p.1017--1027, 1995.
[725] Barbu V. The time optimal control of Navier´Stokes equations // Systems Con´
trol Lett., 30(2´3): p.93--100, 1997.
[726] Barbu V., Da Prato G. A representation formula for the solutions to operator
Riccati equation // Differential Integral Equations, 5(4): p.821--829, 1992.
[727] Barbu V., Da Prato G. Hamilton´Jacobi equations in Hilbert spaces; variotional
and semigroup apptoach // Ann. Math.´ 1985, 142, 4.´ p. 303 ´ 327.
[728] Barbu V., Favini A. Convergence of solutions of implicit differential equations
// Differential Integral Equations, 7(3´4): p.665--688, 1994.
[729] Barbu V., Favini A. Convergence results for implicit differential equations // In
Proceedings of the Second International Conference in Functional Analysis and
Approximation Theory (Acquafredda di Maratea, 1992), number 33, p.189--200,
1993.
[730] Barbu V., Favini A. Existence for an implicit nonlinear differential equation //
Nonlinear Anal., 32(1): p.33--40, 1998.
[731] Barbu V., Favini A. Existence for implicit differential equations in Banach spaces
// Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,
3(3): p.203--215, 1992.
[732] Barbu V., Favini A. Null controllability for a class of implicit differential equa´
tions in Banach spaces // In Control of partial differential equations (Trento,
1993), p.1--10. Dekker, New York, 1994.
[733] Barbu V., Favini A. On some degenerate parabolic problems // Ricerche Mat.,
46(1): p.77--86, 1997.
[734] Barbu V., Favini A. Periodic problems for degenerate differential equations //
Rend. Istit. Mat. Univ. Trieste, 28(suppl.): p.29--57 (1997), 1996. Dedicated to
the memory of Pierre Grisvard.
[735] Barbu V., Favini A. Periodic solutions to degenerate second order differential
equations in Hilbert space // Commun. Appl. Anal., 2(1): p.19--29, 1998.
[736] Barbu V., Favini A. The analytic semigroup generated by a second order de´
generate differential operator in C[0; 1] // In Proceedings of the Third Inter´
national Conference on Functional Analysis and Approximation Theory, Vol. I
(Acquafredda di Maratea, 1996), number 52, Vol. I, p.23--42, 1998.

64 ################# #########
[737] Barbu V., Favini A., Romanelli S. Degenerate evolution equations and regularity
of their associated semigroups // Funkcial. Ekvac., 39(3): p.421--448, 1996.
[738] Barbu V., Iannelli M. The semigroup approach to non´linear age´structured equa´
tions // Rend. Istit. Mat. Univ. Trieste, 28(suppl.): p.59--71 (1997), 1996. Dedi´
cated to the memory of Pierre Grisvard.
[739] Barbu V., Kunisch K. Identification of nonlinear parabolic equations // Control
Theory Adv. Tech., 10(4, part 5): p.1959--1980, 1995.
[740] Barbu V., Kunisch K. Identifying the nonlinearity in a parabolic boundary value
problem // In Optimal control of differential equations (Athens, OH, 1993), p.29--
37. Dekker, New York, 1994.
[741] Barbu V., Pavel N. On the invertibility of I + exp(\GammatA) with A maximal mono´
tone // Proc. of WCNA. Tampa, Florida, August, 1992, De Gruyter Inc.,Vol.
III, p. 2231´2237.
[742] Barbu V., Pavel N. Periodic optimal control in Hilbert space // Appl. Math.
Optim., 33(2): p.169--188, 1996.
[743] Barbu V., Pavel N. Periodic solutions to nonlinear one´dimensional wave equation
with x´dependent coefficients // Trans. Amer. Math. Soc., 349(5): p.2035--2048,
1997.
[744] Barbu V., Pavel N. Periodic solutions to one´dimensional wave equation with
piece´wise constant coefficients // J. Differential Equations, 132(2): p.319--337,
1996.
[745] Barbu V., R?a?scanu A. Parabolic variational inequalities with singular inputs //
Differential Integral Equations, 10(1): p.67--83, 1997.
[746] Barcenas D., Diestel J, Constrained controllability in nonreflexive Banach spaces
// Quaest. Math. 18, No.1´3, p. 185´198 (1995).
[747] Barcenas D., Urbina W. Measurable multifunctions in nonseparable Banach
spaces // SIAM J. Math. Anal. 28, No.5, p. 1212´1226 (1997).
[748] Bardos C. Introduction to the equations of mathematical physics: application
of the theory of semigroups to two model equations // Collection: Semigroups,
theory and applications, Vol. II (Trieste, 1984), p. 1--32 Pitman Res. Notes Math.
Ser., 152, Longman Sci. Tech., Harlow, 1986.

################# ######### 65
[749] Barkova E.A. and Zabreiko P.P. On the solvability of linear differential equations
with unbounded operators in Banach spaces. Z. Anal. Anwendungen, 17(2), p.
339--360, 1998.
[750] Bart H. Meromorphic operator valued functions. Mathematisch Centrum, Am´
sterdam, 1973. Mathematical Centre Tracts, 44.
[751] Bart H. Periodic strongly continuous semigroups // Ann. Mat. Pura ed Appl.´
1977.´ 115.´ p. 311´318.
[752] Bart H. Poles of the resolvent of an operator function // Proc. Roy. Irish Acad.
Sect. A, 74: p.169--184, 1974. Spectral Theory Symposium (Trinity Coll., Dublin,
1974).
[753] Bart H., Gohberg I., Kaashoek M. A. Wiener´Hopf factorization, inverse Fourier
transforms and exponentially dichotomous operators // J. Funct. Anal. 68 (1986),
no. 1, p. 1--42.
[754] Bart H., Goldberg S. Characterization of almost periodic strongly continuous
groups and semigroups // Math. Ann.´ 1978.´ 236, 2.´ p. 105´116.
[755] Barth'el'emy L., B'enilan Ph. Subsolutions for abstract evolution equations //
Potential Anal., 1(1): p.93--113, 1992.
[756] Basit B., Pryde A.J. Ergodicity and differences of functions on semigroups // J.
Aust. Math. Soc., Ser. A 64, No.2, p. 253´265 (1998).
[757] Baskakov A.G. Linear differential operators with unbounded operator coefficients
and semigroups of bounded operators // (English. Russian original) , Math.
Notes 59, No.6, 586´593 (1996); translation from Mat. Zametki 59, No.6, p. 811´
820 (1996).
[758] Baskakov A.G. Semigroups of difference operators in spectral analysis of linear
differential operators // (English. Russian original) , Funct. Anal. Appl. 30,
No.3, p. 149´157 (1996); translation from Funkts. Anal. Prilozh. 30, No.3, p.
1´11 (1996).
[759] Baskakov A.G. Spectral analysis of linear differential operators and semigroups
of difference operators // (English. Russian original) , Dokl. Math. 52, No.1, p.
30´32 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No.3,
p. 295´298 (1995).

66 ################# #########
[760] A. G. Baskakov and K. I. Chernyshov. Ordered pairs of operators and semigroups.
In Spectral and evolutionary problems, Vol. 9 (Sevastopol, 1998), pages 87--104.
Simferopol State Univ., Simferopol, 1999.
[761] Batty C.J.K. Asymptotic behaviour of semigroups of operators In Functional
analysis and operator theory (Warsaw, 1992), p.35--52. Polish Acad. Sci., War´
saw, 1994.
[762] Batty C.J.K. Some Tauberian theorems related to operator theory // In Func´
tional analysis and operator theory (Warsaw, 1992), p. 21--34. Polish Acad. Sci.,
Warsaw, 1994.
[763] Batty Charles J. K. and Blake Mark D.. Convergence of Laplace integrals// C.
R. Acad. Sci. Paris S'er. I Math., 330(2), p. 71--75, 2000.
[764] Batty C.J.K., Brzezniak Z., Greenfield D.A. A quantiative asymptotic theorem
for contraction semigroups with countable unitary spectrum // Stud. Math. 121,
No.2, p. 167´183 (1996).
[765] Batty C.J.K., Davies E.B. Positive semigroups and rezolvents // J. Oper.
Theory.´ 1983.´ 10.´ p. 357´363.
[766] Batty C.J.K., Greenfield D.A. Extensions of isometric dual representations of
semigroups // Bull. Lond. Math. Soc. 28, No.4, p. 375´384 (1996).
[767] Batty C.J.K., Robinson D.W. Positive one parameter semigroups in order Banach
spaces // Proc. Roy. Soc. Edinburgh.´ 1984.´ 2, 3´4.´ p. 221´296.
[768] Batty C.J.K., van Neerven J., Raebiger F. Tauberian theorems and stability of
solutions of the Cauchy problem // Trans. Am. Math. Soc. 350, No.5, p. 2087´
2103 (1998).
[769] Batty C.J.K., V~u Quoc Ph'ong. Stability of individual elements under one´
parameter semigroups // Trans. Amer. Math. Soc., 322(2): p.805--818, 1990.
[770] Batty C.J.K., and Yeates S.B. Weighted and local stability of semigroups of
operators. Math. Proc. Cambridge Philos. Soc., 129(1):85--98, 2000.
[771] B?aumer B., Lumer G., Neubrander F. Convolution kernels and generalized func´
tions // In Generalized functions, operator theory, and dynamical systems (Brus´
sels, 1997), p.68--78. Chapman & Hall/CRC, Boca Raton, FL, 1999.
[772] Baumer B., Neubrander F. Existence and uniqueness of solutions of ordinary
linear differential equations in Banach spaces // Preprint Louisiana State Uni´
versity 1995.

################# ######### 67
[773] B?aumer B., Neubrander F. Laplace transform methods for evolution equations
// Confer. Sem. Mat. Univ. Bari, (258´260): p.27--60, 1994. Swabian´Apulian
Meeting on Operator Semigroups and Evolution Equations (Italian) (Ruvo di
Puglia, 1994).
[774] Baumgartel H. Analytir perturbation theory for matrices and operators.´ Akad.
Verlag. Berlin.´ 1984.´ 427 p.
[775] Emilia Bazhlekova. Perturbation properties for abstract evolution equations of
fractional order. Fract. Calc. Appl. Anal., 2(4):359--366, 1999. TMSF, AUBG'99,
Part A (Blagoevgrad).
[776] Beausamy B. Introduction to operator theory and invariant subspaces.´ 1988.´
358 p.
[777] Becker I., Greiner G. On the modulus of one´parameter semigroups II // Semi´
group forum.´ 1986.´ 34, 2.´ p. p. 185´201.
[778] Belleni´Morante A. Applied Semigroups. Academic Press. London. 1980.
[779] Belleni´Morante A., McBride A. C. Applied nonlinear semigroups. John Wiley &
Sons Ltd., Chichester, 1998. An introduction.
[780] B'enilan Ph. A strong regularity L p for solution of the porous media equation //
In Contributions to nonlinear partial differential equations (Madrid, 1981), p.
39--58. Pitman, Boston, Mass., 1983.
[781] B'enilan Ph. An introduction to partial differential equations // In Semigroups,
theory and applications, Vol. II (Trieste, 1984), p. 33--92. Longman Sci. Tech.,
Harlow, 1986.
[782] B'enilan Ph., Boccardo L., Gallou?et T., Gariepy R., Pierre M., V'azquez J.L. An
L 1 ´theory of existence and uniqueness of solutions of nonlinear elliptic equations
// Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 22(2): p.241--273, 1995.
[783] B'enilan Ph., Crandall M. G. Completely accretive operators // In Semigroup
theory and evolution equations (Delft, 1989), p. 41--75. Dekker, New York, 1991.
[784] Benilan P., Crandall M.G., Pazy A. ''Bonnes solutions'' dun problem devolution
semi´lineaire // C.R. Acad. Sci. ´ 1988, ser. 1, 306, N 13.´ p. 527´530.
[785] Benilan Ph., Crandall M., Pazy A. Nonlinear evolution equations in Banach
spaces // Sci. Toulouse.´ 1985.´ 7, 2.´ p. 151´160.

68 ################# #########
[786] B'enilan Ph., Crandall M.G., Sacks P. Some L 1 existence and dependence results
for semilinear elliptic equations under nonlinear boundary conditions // Appl.
Math. Optim., 17(3): p.203--224, 1988.
[787] B'enilan Ph., Gariepy R. Strong solutions in L 1 of degenerate parabolic equations
// J. Differential Equations, 119(2): p.473--502, 1995.
[788] B'enilan Ph., Igbida N. La limite de la solution de u t = ffi p u m lorsque m !1 //
C. R. Acad. Sci. Paris S'er. I Math., 321(10):1323--1328, 1995.
[789] B'enilan Ph., Igbida N. Singular limit of perturbed nonlinear semigroups //
Comm. Appl. Nonlinear Anal., 3(4): p.23--42, 1996.
[790] B'enilan Ph., Ildefonso D'iaz J. Comparison of solutions of nonlinear evolution
problems with different nonlinear terms // Israel J. Math., 42(3): p.241--257,
1982.
[791] B'enilan Ph., Ismail S. G'en'erateur des semi´groupes non lin'eaires et la formule
de Lie´Trotter // Ann. Fac. Sci. Toulouse Math. (5), 7(2): p.151--160, 1985.
[792] B'enilan Ph., Ismail S. Une g'en'eralisation d'un r'esultat de Kato´Masuda sur la
formule de Trotter // In Nonlinear analysis, 1982/1983, pages Exp. No. 7, 17.
Univ. Franche´Comt'e, Besan?con, 1983.
[793] B'enilan Ph., Kruzhkov S. N. First´order quasilinear equations with continuous
nonlinearities // Dokl. Akad. Nauk, 339(2): p.151--154, 1994.
[794] B'enilan Ph., Wittbold P. Nonlinear evolution equations in Banach spaces: basic
results and open problems // In Functional analysis (Essen, 1991), p. 1--32.
Dekker, New York, 1994.
[795] B'enilan Ph., Wittbold P. On mild and weak solutions of elliptic´parabolic prob´
lems // Adv. Differential Equations, 1(6): p.1053--1073, 1996.
[796] Benmahammed K. Computation of the controllability and observability gram´
mians // 29th Midwest Symp. Circuits and Syst.: Proc. Loncoln, Nebr.´ 1987,´
p. 117´120.
[797] Benzaid Z. Global null controllability of perturbed linear system with coustrained
controls //Y. Math. Anal. and Appl.´ 1988.´ 136, N1.´c.201´216.
[798] Benzaid Z., Lutz D.A. Asymptotic representation of solutions of perturbed sys´
tems of linear difference equations // Stud. Appl. Math., 77(3):195--221, 1987.

################# ######### 69
[799] Bensaid Z., Lutz D.A. Constrainst controllaliliti of perturbed discrete´time sys´
tems // Int. J. Contr.´ 1988 ´ 48, N 2.´ p. 655´673.
[800] Berens G., Westphal V. A Cauchy problem for a generalized wave equation //
Acta Sci. Math.´ 1968.´ 29.´ p. 93´106.
[801] Beretta G. P. Quantum thermodynamics of nonequilibrium. Onsager reciprocity
and dispersion´dissipation relations. // Found. Phys. 17 (1987), no. 4, p. 365--381.
[802] Berg C., Boyadzhiev K., deLaubenfels R. Generation of generators of holomor´
phic semigroups // J. Austral. Math. Soc. Ser. A, 55(2): p.246--269, 1993.
[803] Berger M.A., Sloan A.D. Product formulas for semigroups with elliptic generators
// J. Func. Anal.´ 1984.´ 57, 3.´ p. 244´269.
[804] Bernardes N.C.jun. A property of semigroups on metric spaces // Semigroup
Forum 54, No.1, p. 128´130 (1997).
[805] Bernier C., Manitius A. On semigroups in r n \Theta L p corresponding to differential
equations with delays // Canad. J. Math., 30(5): p.897--914, 1978.
[806] Bertoglio N., Dartnell P., Mart'inez S., San Mart'in J. A regularisation result of
the continuous PMC Markov semigroups // Stochastic Anal. Appl., 9(4): p.387--
399, 1991.
[807] Bhaskar T.Gnana and Kumar Rajiv . Analyticity of semigroup generated by
a class of differential operators with interface// Nonlinear Anal., 39(6, Ser. A:
Theory Methods), p. 779--791, 2000.
[808] Bhatia R. Perturbation bounds for matrix eigenvalues. Pitman research. Nobes
Math. Ser.´ N 161.´ 1987.
[809] Bialas S. Systemy dinamiczne predzialowe. // Zecz. Nauk. AGH Autom. ´ 1987,
N41 ´ p. 1´100.
[810] Biswas A. Extensions of two theorems of S. Kurepa // Glas. Mat. Ser. III,
15(35)(2): p.259--267, 1980.
[811] Bjon S. One´parameter semigroups of operators on L c ´embedded spaces // Semi´
group Forum 49, No.3, p. 369´380 (1994).
[812] Blasco O., Martinez J. Norm continuity and related notions for semigroups on
Banach spaces // Arch. Math. 66, No.6, p. 470´478 (1996).

70 ################# #########
[813] Blatt H.P., Braess D. Zur Rationalen Approximation von e´x auf [0,1 // J.
Appr. Theory.´ 1980, 30, N 3.´ p. 169 ´ 172.
[814] Blower G. Multipliers for semigroups // Proc. Edinb. Math. Soc., II. Ser. 39,
No.2, p. 241´252 (1996).
[815] Bobisud L.E. Large time behavior of solutions of abstract wave equation // J.
Math. Anal. & Appl.´ 1978.´ 63.´ p. 168´176.
[816] Bobisud L., Hersh L. Perturbation and approximation theory for higher´order
abstract Cauchy problems // Rocky Mountain J. Math., 2(1): p.57--73, 1972.
[817] Bobrowski A. A note on convergence of semigroups // Ann. Polon. Math., 69(2):
p.107--127, 1998.
[818] Bobrowski A. Computing the distribution of the Poisson´Kac process // Ann.
Univ. Mariae Curie´Sk/lodowska Sect. A, 47: p.1--17, 1993.
[819] Bobrowski A. Degenerate convergence of semigroups // Semigroup Forum, 49(3):
p.303--327, 1994.
[820] Bobrowski A. Examples of a pointwise convergence of semigroups // Ann. Univ.
Mariae Curie´Sklodowska, Sect. A 49, p. 15´33 (1995).
[821] Bobrowski A. Generalized telegraph equation and the Sova´Kurtz version of the
Trotter´Kato theorem // Ann. Polon. Math., 64(1): p.37--45, 1996.
[822] Bobrowski A. Integrated semigroups and Trotter´Kato theorem // Bul. Pol.
Acad. Sci. 41 (1994), # 4, p. 297--304.
[823] Bobrowski A. On approximation of (1:A) semigroups by discrete semigroups //
Bull. Pol. Acad. Sci., Math. 46, No.2, p. 141´154 (1998).
[824] Bobrowski A. On approximation of (1; A) semigroups by discrete semigroups //
Preprint Technical University of Lublin, 1997.
[825] Bobrowski A. On the generation of non´continuous semigroups // Semigroup
Forum, 54(2): p.237--252, 1997.
[826] Bobrowski A. On the Yosida approximation and the Widder´Arendt representa´
tion theorem // Stud. Math. 124, No.3, p. 281´290 (1997).
[827] Bobrowski A. Some remarks on the two´dimensional Dirac equation // Semigroup
Forum, 45(1): p.77--91, 1992.

################# ######### 71
[828] Bobrowski A. The Widder´Arendt theorem on inverting of the Laplace transform,
and its relationship with the theory of semigroups of operators // Preprint, Rice
University, Houston Texas (1997).
[829] Bobylev N. at al. Semidiscrete approximations of semilinear periodic problems
in Banach spaces // Nonlinear Anal., 33(5): p.473--482, 1998.
[830] Bochenek J. An abstract nonlinear second order differential equation // Ann.
Polon. Math. 54 (1991), no. 2, p. 155--166.
[831] Bochenek J. Existence of the fundamental solution of a second order evolution
equation // Ann. Pol. Math. 66, p. 15´35 (1997).
[832] Bochenek J., Winiarska T. Second order evolution equations with parameter //
Ann. Pol. Math. 59, No.1, p. 41´52 (1994).
[833] Bombal F. Operadores en espacios de sucesiones vectoriales // Rev. Real. Acad.
Siene. exact., fis.y natur. Madrid.´1988.´82, N1.´ c.157´160.
[834] Borchers W., Sohr H. On the semigroup of the Stokes operator for exterior do´
mains in L q ´spaces // Math. Z. 196 (1987), no. 3, p. 415--425.
[835] Borrelli R.L., Coleman C.S. Differential equations. A modeling approach. // P.H.
´ 1987 ´ 607 p.
[836] Borgioli G., Totaro S. 3D´streaming operator with multiplying boundary condi´
tions: Semigroup generation properties // Semigroup Forum 55, No.1, p. 110´117
(1997).
[837] Bouldin R. Operator approximations with stable eigenvalues // J. Austr. Math.
Soc. Ser. A.´ 49 (1990), p. 250´260.
[838] Boyadzhiev K.N. An asymptotic Fuglede theorem for generators of C 0 ´groups //
Acta. Math. Acad. sci. Hung.´ 1987.´ 49, 1´2.´ p. 145´150.
[839] Boyadzhiev K. Logarithms and imaginary powers of operators on Hilbert spaces
// Collect. Math., 45(3): p.287--300, 1994.
[840] Boyadzhiev K., deLaubenfels R. H 1 functional calculus for perturbations of
generators of holomorphic semigroups // Houston J. Math., 17(1): p.131--147,
1991.
[841] Boyadzhiev K., deLaubenfels R. Boundary values of holomorphic semigroups //
Proc. Amer. Math. Soc., 118(1): p.113--118, 1993.

72 ################# #########
[842] Boyadzhiev K., deLaubenfels R. Semigroups and resolvents of bounded varia´
tion, imaginary powers and H 1 functional calculus // Semigroup Forum, 45(3):
p.372--384, 1992.
[843] Boyadzhiev K., deLaubenfels R. Spectral theorem for unbounded strongly con´
tinuous groups on a Hilbert space // Proc. Amer. Math. Soc., 120(1): p.127--136,
1994.
[844] Braess D. Nonlinear approximation theory. 1986.´ 290p. (Springer Ser. Comp.
Math. 7).
[845] Bragg L.R. Transmutations that introduce group operators. // J. Diff. Equat.´
1984, 53, N1 ´ p. 98´114.
[846] Bragg L.R., Dettman J.W. Analogous function theories for certain singular par´
tial differential equations. // Rocky Mount. J. Math.´ 1984, 14, N2 ´ p. 383´396.
[847] Bratelly O., Digerness T., Robinson D.W. Positive semigroups on ordered Banach
spaces // J. Oper. Theory.´ 1983.´ 9.´ p. 377´400.
[848] Brenner P., Grouzeix M., Thomie V. Single step methods for inhomogeneous
linear differential equations in Banach space // R.A.I.R.O. Anal. Numer.´1982,
vol.16, N 2.´ p. 5 ´ 26.
[849] Brenner P., Thomie V. On rational approximation of semigroups // SIAM J.
Numer. Anal.´ 1979, 16, 4.´ p. 683 ´ 694.
[850] Brenner P., Thomie V. On rational approximation of groups of operators //
SIAM J. Numer. Anal.´ 1980, 17, 1.´ p. 119 ´ 125.
[851] Brezinski C. History of continued fractions and Pade approximations. // 1988.
[852] Brezinski C. Patial Pad'e approximation theory.´ 1988, 54, N 2.´ c. 210´233.
[853] Brezis H. Operateurs maximaux monotones et semigroups de contractions dans
les espaces de Hilbert. North´Holland. 1973.´ 183 p.
[854] Brezis H., Lions P.L. Produits infinis de resolvantes // Israel J. Math.´ 1978,
vol.29, N 4.´ p. 329 ´ 345.
[855] Brill H. A semilinear Sobolev evolution equation in Banach spaces // J. Diff.
Equat. ´ 1977, 24, p. 412´425.

################# ######### 73
[856] Bruce Lee E., You Yuneheng. Optimal syntheses for dufinite´dimensional lin´
ear delayed state´output systems. A semicausality approach //Appl. Math. and
Optimaz.´ 1989.´ 19, N2.´ c. 113´136.
[857] Bruck R.E., Passty G. Almost convergence of the infinite produkt of resolvents
in Banach spaces // Nohlinear Anal., Theory, Meth. & Appl.´ 1979, vol.3, N 2.´
p. 279 ´ 282.
[858] Bruzual R. Representation of measurable positive definite generalized Toeplitz
kernels in // Integral Equations Oper. Theory 29, No.3, p. 251´260 (1997).
[859] Bruzual R. Unitary extensions of two´parameter local semigroups of isometric
operators and the Krein extension theorem // Integral Equations Oper. Theory
17, No.3, p. 301´321 (1993).
[860] Bruzual R., Marcantognini S. Local semigroups of isometrics in Fix´spaces and
related continuation problems for re´indefinite Toeplitz kernels // (English) In´
tegral Equations Oper. Theory 15, No.4, p. 527´550 (1992).
[861] Brzezniak Z. On stochastic convolution in Banach spaces and applications //
Stochastics Stochastics Rep. 61, No.3´4, p. 245´295 (1997).
[862] Bucci Francesca. Stability of holomorphic semigroup systems under nonlinear
boundary perturbations. In Optimal control of partial differential equations
(Chemnitz, 1998), pages 63--76. Birkh?auser, Basel, 1999.
[863] Buche A. B. Approximation of semigroups of operators on Fr'echet spaces //
Proc. Japan Acad., 44: p.816--819, 1968.
[864] Buche A. B. On the cosine´sine operator functional equations // Aequationes
Math., 6: p.231--234, 1971.
[865] Buche A.B. On an exponential´cosine operator´valued functional equation //
Aequationes Math., 13(3): p.233--241, 1975.
[866] Buche A.B. On non´Markov functional equations // In Proceedings of the Na´
tional Seminar on Stochastic Process, Statistical Inference and Sample Survey
(Sambalpur, 1985), volume 4, p. 61--66, 1985.
[867] Buche A.B. Perturbation theory for the generalized semigroup // J. Mathemat´
ical and Physical Sci., 7: p.233--244, 1973.
[868] Buche A.B. The generalized Cauchy equation for self´adjoint operators on a
Hilbert space // Indian J. Pure Appl. Math., 10(2): p.166--170, 1979.

74 ################# #########
[869] Buche A.B., Bharucha´Reid A. T. On some functional equations associated with
semi´groups of operators // Proc. Nat. Acad. Sci. U.S.A., 60: p.1170--1174, 1968.
[870] Buche A.B., Bharucha´Reid A. T. On the generalized semigroup relation in the
strong operator topology // Nederl. Akad. Wetensch. Proc. Ser. A 74=Indag.
Math., 33: p.26--31, 1971.
[871] Buche A.B., Vasudeva H. L. The generalized Cauchy equation for operator´valued
functions // Aequationes Math., 14(3): p.387--390, 1976.
[872] Bultheel A. Laurent series and their Pade approximation // 1987, vol.27 ´ p. 270.
[873] B?urger R. Perturbations of positive semigroups and applications to population
genetics // Math. Z.´ 1988.´ 197, 2.´ p. 259´272.
[874] Burnap C. Cauchy problems ivolving non´selfajoint operators // Appl. Anal.´
1987.´ 25, 4.´ p. 301´318.
[875] Burnap C., Lambert A. Proximity and semilarity of operators // Proc. R. Ir.
Acad.´ 1987.´ 87A, 1.´ p. 95´102 .
[876] Burns J., Ito K., Propst G. On non convergence of adjoint semigroups for control
systems with delays // SIAM J. Contr. and Optimiz.´ 1988, 26, N 6.´ c. 1442´
1454.
[877] Burrage K., Burrage P.M. High strong order methods for non´commutative
stochastic ordinary differential equation systems and the Magnus formula. Phys.
D, 133(1´4):34--48, 1999. Predictability: quantifying uncertainty in models of
complex phenomena (Los Alamos, NM, 1998).
[878] Burrage K., Burrage P.M., and Belward J.A. A bound on the maximum strong or´
der of stochastic Runge´Kutta methods for stochastic ordinary differential equa´
tions. BIT, 37(4):771--780, 1997.
[879] Burrage K., Butcher J.C. and Chipman F.H. An implementation of singly´
implicit Runge´Kutta methods. BIT, 20(3):326--340, 1980.
[880] Burrage K., Chipman F.H. The stability properties of singly´implicit general
linear methods. IMA J. Numer. Anal., 5(3):287--295, 1985.
[881] Burrage K., Chipman F.H. Efficiently implementable multivalue methods for
solving stiff ordinary differential equations. Appl. Numer. Math., 5(1´2):23--40,
1989. Recent theoretical results in numerical ordinary differential equations.

################# ######### 75
[882] Burrage K., Chipman F.H. and Muir P.H. Order results for mono´implicit Runge´
Kutta methods. SIAM J. Numer. Anal., 31(3):876--891, 1994.
[883] Burrage K., Piskarev S. Stochastic methods for ill´posed problems. BIT,
40(2):226--240, 2000.
[884] Butcher J.C. The numerical analyses of ordinary differential equations. John
Wiley & Sons ´ 1987 ´ 512p.
[885] Butcher J.C., Cash J.R. Some recent developments on numerical initial value
problems: a survey // Appl. Numer. Math. ´ 1989, 5, N 1´2.´ c.3´18.
[886] Butzer P.L., Berens H. Semigroups of operators and approximation. New York,
1967.´ 318 p.
[887] Butzer P.L., Gessinger A. Connections between the approximation of semigroup
and cosine operator functions // Atti Sem. Mat. Fis. Univ. Modena, 45(1):
p.81--142, 1997.
[888] Butzer P.L., Gessinger A. Ergodic theorems for semigroups and cosine opera´
tor functions at zero and infinity with rates; applications to partial differential
equations. A survey // Ismail, Mourad E. H. (ed.) et al., Mathematical analy´
sis, wavelets, and signal processing. An international conference on mathematical
analysis and signal processing, Cairo University, Cairo, Egypt, January 3´9, 1994.
Providence, RI: American Mathematical Society. Contemp. Math. 190, p. 67´94
(1995).
[889] Butzer P.L., Gessinger A. The approximate sampling theorem, Poisson's sum
formula, a decomposition theorem for Parseval's equation and their interconnec´
tions // Ann. Numer. Math., 4(1´4): p.143--160, 1997. The heritage of P. L.
Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin.
[890] Butzer P.L., Gessinger A. The approximation theoretical behaviour of solutions of
specific hyperbolic differential equations at zero and infinity // In Approximation
theory (Witten, 1995), p. 27--51. Akademie´Verlag, Berlin, 1995.
[891] Butzer P.L., Gessinger A. The mean ergodic theorem for cosine operator func´
tions with optimal and non´optimal rates // Acta Math. Hung. 68, No.4, p.
317´351 (1995).
[892] Butzer P.L., Jansche S. Mellin transform theory and the role of its differential
and integral operators // In Transform methods & special functions, Varna '96,
p.63--83. Bulgarian Acad. Sci., Sofia, 1998.

76 ################# #########
[893] Buzanom L., Gobbo L. Some properties of linear operators of accretive type //
Rend. Semin. Mat. Univ. politehn. Torino.´ 1984.´ 42, 1.´ p. 101´116.
[894] Buzenberg S., Wu B. Convergence theorems for integrated semigroups // Diff.
Int. Eqs 5 # 3 (1992), p. 509--520.
[895] Calvert B.D. When T ´accretive implies accretive // Houston J. Math.´ 1988.´
14, 2.´ p. 147´155.
[896] Calvert B., Kartsators A. On the compactness of the nonlinear evolution operator
on a Banach space // Boll. London Math. Sci.´ 1987, 19, N 6.´ p. 551´558.
[897] Calvo M., Lasbona F., Montijano Y. On the stability of variable´stepsize Nord´
sieck BDF method // SIAM J. Numer. Anal.´ 1987, 24, N4.´ p. 844´854.
[898] Campbell S.L. The Numerical solution of higher index linear time varying singu´
lar systems of differential equations // SIAM J. Sei. Stat. Comput.´ 1985, vol.6,
N 2.´ p. 334 ´ 348.
[899] Campiti M.; Metafune G.; Pallara, D. Degenerate self´adjoint evolution equations
on the unit interval // Semigroup Forum 57, No.1, p. 1´36 (1998).
[900] Camouzis E., Grove E. A., Ladas G., Koci'c V. L. Monotone unstable solutions
of difference equations and conditions for boundedness // J. Differ. Equations
Appl., 1(1): p.17--44, 1995.
[901] Canavati J.A. The Riemann´Liouville integral // Nieuw´Arch. Wisk. (4), 5
(1987), no. 1, p. 53--75.
[902] Cannarsa P., Da Prato G. A semigroup approach to Kolmogoroff equations in
Hilbert spaces // Appl. Math. Lett., 4(1): p.49--52, 1991.
[903] Cannarsa P., Da Prato G. Direct solution of a second order Hamilton´Jacobi
equation in Hilbert spaces // In Stochastic partial differential equations and ap´
plications (Trento, 1990), p.72--85. Longman Sci. Tech., Harlow, 1992.
[904] Cannarsa P., Da Prato G. On a functional analysis approach to parabolic equa´
tions in infinite dimensions // J. Funct. Anal., 118(1): p.22--42, 1993.
[905] Cannarsa P., Da Prato G. Potential theory in Hilbert spaces // In Recent ad´
vances in partial differential equations, Venice 1996, p.27--51. Amer. Math. Soc.,
Providence, RI, 1998.

################# ######### 77
[906] Cannarsa P., Da Prato G. Schauder estimates for Kolmogorov equations in
Hilbert spaces // In Progress in elliptic and parabolic partial differential equa´
tions (Capri, 1994), p. 100--111. Longman, Harlow, 1996.
[907] Cannarsa P., Da Prato G. Some results on abstract evolution equations of hy´
perbolic type // In Differential equations in Banach spaces (Bologna, 1991),
p.41--50. Dekker, New York, 1993.
[908] Cannarsa P., Da Prato G., Zol'esio J.´P. Evolution equations in noncylindrical
domains // Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 83:
p.73--77 (1990), 1989.
[909] Cannarsa P., Da Prato G., Zol'esio J.´P. The damped wave equation in a moving
domain // J. Differential Equations, 85(1): p.1--16, 1990.
[910] Cannarsa P., Di Blasio G. Dynamic programming for an abstract second order
evolution equation with convex state constraints // In Control of partial differ´
ential equations (Trento, 1993), p.51--61. Dekker, New York, 1994.
[911] Cannarsa P., Frankowska H. Value function and optimality condition for semilin´
ear control problems. II: Parabolic case // Appl. Math. Optimization 33, No.1,
p. 1´33 (1996).
[912] Cannarsa P., Terreni B., Vespri V. Analytic semigroups generated by nonvaria´
tional elliptic systems of second order under Dirichlet boundary conditions // J.
Math. Anal. Appl., 112(1): p.56--103, 1985.
[913] Cannarsa P., Vespri V. Analytic semigroups generated on H?older spaces by sec´
ond order elliptic systems under Dirichlet boundary conditions // Ann. Mat.
Pura Appl. (4), 140: p.393--415, 1985.
[914] Cannarsa P., Vespri V. Generation of analytic semigroups by elliptic operators
with unbounded coefficients // SIAM J. Math. Anal. 18 (1987), no. 3, p. 857--872.
[915] Cannarsa P., Vespri V. Generation of analytic semigroups in the L p topology by
elliptic operators in IR n // Israel J. Math., 61(3): p.235--255, 1988.
[916] Cannarsa P., Vespri V. On maximal L p ´regularity for the abstract Cauchy prob´
lem // Boll. Unione Mat. Ital.´ 1986.´ B5, 1.´ p. 165´175.
[917] Carja O. On constraint controllability of linear systems in Banach spaces // J.
of Optim. Theory & Appl.´ 1988, 56, N 2.´ p. 215´225.

78 ################# #########
[918] Carja O. Range disclusion for convex processed on Banach spaces; applications
du controfy //Proc.Amer. Math. Soc.´ 1989.´ 105, N1. ´p. 185´191.
[919] Caselles V. On the peripheral spectrum of positive operators // Israel J. Math.,
58(2): p.144--160, 1987.
[920] Casteren van J.A. Boundedness properties of resolvents and semigroupes of op´
erators // Janas J. (ed.) et al. Linear operators. Proceedings of the semester
organized at the S.Banach Inter. Math. Center, Warsaw, Poland, February 7 ´
May 15, 1994. Warsaw, Polish Academy Sciences, Inst. of Math. Banach Center
Publ. 38, 1997.´ p. 59´74.
[921] Casteren van J.A. Generators of strongly continuous semigroups.´ Boston: Pit´
man, 1985.´ 203 p.
[922] Catepillan X., Szymanski W. Semigroup properties of factors in the polar de´
composition or the operator De´Moivre formula // Proc. Am. Math. Soc. 126,
No.12, p. 3521´3526 (1998).
[923] Cessmger A. Connections between the approximation and ergodic behaviour of
cosine operators and semigroups // Proceedings of the 3rd international confer´
ence on functional analysis and approximation theory, Acquafredda di Maratea
(Potenza), Italy, September 23´28, 1996. Vols. I and II. Palermo: Circolo Matem´
atico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, p. 475´489 (1998).
[924] Chander R., Buche A.B. On some analytic properties of the modified sine oper´
ator // Indian J. Pure Appl. Math.´1981.´ 12.´ p. 585´593.
[925] Chander R., Buche A.B. On the differential and integral equations associated
with the modified sine operator // Indian J. Pure Appl. Math., 12(5): p.594--
607, 1981.
[926] Chander R., Buche A.B. The generation theorem for the modified sine operator
// J. Pure Appl. Math. 1981, v.12, p. 691´714.
[927] Chander R., Singh H. On the measurability and continuity properties of modified
exponential cosine operator // J. Indiana Math. Soc. ´ 1980.´ 44. ´ p. 365´368.
[928] Chander R., Singh H. On the measurability and continuity properties of the
cosine operator // Indian J. Pure Appl. Math.´ 1981.´ 12, 1.´ p. 81´83.
[929] Chang D.´K., Piskarev S., Shaw S.´Y. On maximal regularity and semivariation
of cosine operator functions. (English. English summary)// J. London Math.
Soc. (2) 59 (1999), no. 3, p. 1023--1032.

################# ######### 79
[930] Chang H., Liang B., Wang H., Zhu G. On the spectrum of cosine operator
functions in L p
(\Omega\Gamma spaces // (Chinese. English summary) , Acta Math. Sin. 37,
No.2, p. 209´216 (1994).
[931] Chang J.´C., Shaw S.´Y. Optimal and non´optimal rates of approximation for
integrated semigroups and cosine functions // J. Approximation Theory 90, No.2,
p.200´223, Art. No.AT963085 (1997).
[932] Chang J.´C., Shaw S.´Y. Rates of approximation and ergodic limits of resolvent
families // Arch. Math. (Basel), 66(4): p.320--330, 1996.
[933] Chang J.´C., Shaw S.´Y. Rates of approximation and ergodic limits of resolvent
families // Arch. Math. 66, No.4, p. 320´330 (1996).
[934] Chang J.´Ch., Shaw S.´Y. Rates of approximation and egrodic limits of resolvent
families // Arch. Math.´ 1996.´ 66.´ p. 320´330.
[935] Chatelin F. Non symmetric eigenvalue problems in structural mechanics // Appl.
Multyple Scal. Mech.: Proc. Int. Conf. Ec. norm. super. Paris, Nov. 24´28, 1986
´ Paris, 1987 ´ p.69´76.
[936] Chatelin F. Spectral approximation of linear operators. Academic Press, New
York, 1983.
[937] Chen G., Russel D.L. A mathematical model for linear elastic systems with
structural damping // Quart. Appl. Math.´ 1981/1982.´ 39, 4.´ p. 433´454.
[938] Chen J. In the spectral and numerical field of bounded operators in Banach
spaces //J. Sirhuan Univ. Natur. Sci. ´1988.´25, N2.´ p. 239´240.
[939] Chen S., Triggiari R. Proof of two conjectures by G.Chen and D.L.Russel on
structural damping for elastor systems // Lectur Notes in Math.´ 1988, N 1354.´
#. 234´256.
[940] Chill Ralph. Tauberian theorems for vector´valued Fourier and Laplace trans´
forms// Studia Math., 128(1):55--69, 1998.
[941] Chirone C., Latshkin Yu. Evolution semigroupss in dinamical systems and dif´
ferential equations. Math. Surveys and Monographs, 70, 1999, 361p.
[942] Choinacki W. Group representations of bounded cosine functions// J. Rein.
Angew. Math., 1996, 478, p.61´84.
[943] Chojnacki W., Kisy'nski J. On the Favard classes of semigroups associated with
pseudo´resolvents // Acta Sci. Math. (Szeged), 64(3´4): p.681--696, 1998.

80 ################# #########
[944] Christianson B. Positive fixed points of lattices under semigroups of positive
linear operators // N. Z. J. Math. 24, No.1, p. 23´27 (1995).
[945] Christov C.I. The method of variational imbedding for time reversal parabolic
incorrect problems. // ####. ####. ## ´ 1987,6 ´ p.5´8.
[946] Cioranescu I. A generation result for C´regularized semigroups // In Semigroups
of linear and nonlinear operations and applications (Cura?cao, 1992), p.121--128.
Kluwer Acad. Publ., Dordrecht, 1993.
[947] Cioranescu I. Characterizations of almost periodic strongly continuous cosine
operator functions // J. Math. Anal.´ 1986.´ 57, 1.´ p. 222´229.
[948] Cioranescu I. Local convoluted semigroups // In Evolution equations (Baton
Rouge, LA, 1992), p. 107--122. Dekker, New York, 1995.
[949] Cioranescu I. On a class of C´regularized semigroups // In Evolution equations,
control theory, and biomathematics (Han sur Lesse, 1991), p. 45--50. Dekker,
New York, 1994.
[950] Cioranescu I. On periodic distribution groups // In Topics in modern operator
theory (Timisoara/Herculane, 1980), p. 53--61. Birkh?auser, Basel, 1981.
[951] Cioranescu I. On the abstract Cauchy problem for the operator d 2 u=dt 2 \Gamma Au //
Integral Equat. Oper. Theory.´ 1984.´ 7, 1.´ p. 21´35.
[952] Cioranescu I. On the abstract Cauchy problem in spaces of almost periodic dis´
tributions // J. Math. Anal. Appl. 148 (1990), no. 2.´ p. 440--462.
[953] Cioranescu I. On the second order Cauchy problem associated with a linear
operator // J. Math. Anal. Appl. 154, No.1, p. 238´242 (1991).
[954] Cioranescu I., Henriquez H.R. Interpolation properties associated with the second
order abstract Cauchy problem // Aequationes Math. 47, No.2´3, p. 150´163
(1994).
[955] Cioranescu I., Keyantuo V. C´semigroups: Generation and analyticity // Integral
Transforms Spec. Funct. 6, No.1´4, p. 15´25 (1998).
[956] Cioranescu I., Lizama C. Some applications of Fejer's theorem to operator cosine
functions in Banach spaces // Proc. Amer. Math. Soc.´ 1997.´ 125.´ 8.´ p. 2353´
2362.
[957] Cioranescu I., Lizama C. Spectral properties of cosine operator functions //
Aequat. Math.´ 1988.´ 36, 1.´ p. 80´98.

################# ######### 81
[958] Cioranescu I., Lizama C. The spectral mapping theorem for integrated cosine
functions // Lumer G. (ed.) et al., Partial differential equations. Models in
physics and biology. Contributions to the conference, held in Han´sur´Lesse, Bel´
gium, in December 1993. Berlin: Akademie Verlag, Math. Res. 82, p. 82´90
(1994).
[959] Cioranescu I., Lumer G. On K(t)´convoluted semigroups // In Recent devel´
opments in evolution equations (Glasgow, 1994), p. 86--93. Longman Sci. Tech.,
Harlow, 1995.
[960] Cioranescu I., Lumer G. Probl`emes d''evolution r'egularis'es par un noyau g'en'eral
K(t). Formule de Duhamel, prolongements, th'eor`emes de g'en'eration // C.R.
Acad. Sci. Paris S'er. I Math., 319(12): p.1273--1278, 1994.
[961] Cioranescu I., Neumann U. Stielties vectors and cosine functions generators //
Stud. Math. (PPL).´ 1987.´ 87.´ 1.´ p. 1´7.
[962] Cioranescu I., Ubilla P. A characterization of uniformly bounded cosine functions
generators // Integral Equat. Oper. Theory.´ 1989.´ 12, 1.´ p. 1´11.
[963] Cioranescu I., Zsid'o L. Analytic generators for one´parameter groups // T?ohoku
Math. J. (2), 28(3): p.327--362, 1976.
[964] Cipriani F., Grillo G. Pointwise lower bounds for positive solutions of elliptic
equations and applications to intrinsic ultracontractivity of Schroedinger semi´
groups // Boll. Unione Mat. Ital., VII. Ser., B 10, No.4, p. 927´ 941 (1996).
[965] Claeysen J.R., Schuchman V. On the minimal extension of C 0 ´semigroups for
second´order damped equations // J. Math. Anal. & Appl. 211, No.1, p. 213´222
(1997).
[966] Cl'ement Ph. L p ´L q coerciveness and applications to nonlinear integrodifferential
equations // In Nonlinear problems in engineering and science---numerical and
analytical approach (Beijing, 1991), p. 36--42. Science Press, Beijing, 1992.
[967] Cl'ement Ph. On (L p ´L q ) coerciveness for a class of integrodifferential equation
on the line // Voronezh. Gos. Univ., Voronezh, 1990.
[968] Clement Ph. et al. One parameter semigroups. North Holland. Amsterdam, 1987,
312 p.
[969] Clement Ph., Da Prato G. Existence and regularity results for an integral equa´
tion with infinite delay on a Banach space // Integr. Equat. & Oper. Theory.´
1988, 11, N 4.´ p. 480´500.

82 ################# #########
[970] Cl'ement Ph., de Pagter B. Some remarks on the Banach space valued Hilbert
transform // Indag. Math. (N.S.), 2(4): p.453--460, 1991.
[971] Clement Ph., Diekmann O. A Hille´Yosida theorem for a class of weakly *´
continuous semigroups // Semigroup Forum.´ 1989.´ 38, 2.´ p. 157´178.
[972] Clement Ph. et al. Pertubation theory for dual semigroups. I. The sun reflexiv
case // Math. Ann.´ 1987.´ 277, 4.´ p. 709´725.
[973] Clement Ph. et al. Pertubation theory for dual semigroups. II. Time dependet
perturbations in the sun´reflexive case // Proc. Roy. Soc. Edinburgh.´ 1988.´
109A, 1´2.´ p. 145´172.
[974] Clement Ph. et al. Pertubation theory for dual semigroups III. Non´linear Lip´
schitz continuous pertubation in the sun´ reflexive case // Volterra Int. Diff.
Equat. in Banach spaces and appl.´ Trento. Rept. Cent. Math. Comp. Sci.´ 1987.´
AM´R8706.´ p. 1´15.
[975] Clement Ph. et al. Pertubation theory for dual semigroups, IV. The intertwinging
formula and the canonical pairing // Trends in semigroup theory and appl.´
Trieste.´ Rept. Cent. Math. Comp. Sci.´ 1988.´ AM´R8802.´ p. 1´16.
[976] Cl'ement Ph. at al. Perturbation theory for dual semigroups. IV. The intertwining
formula and the canonical pairing // In Semigroup theory and applications
(Trieste, 1987), p. 95--116. Dekker, New York, 1989.
[977] Clement Ph., Diekmann O., Timmermans C.A. On C 0 ´semigroups generated by
differential operators satisfying Vencel's boundary conditions, II // Math. Proc.
Cambrige Phil. Soc. A.´ 1986.´ 89(4).´ p. 379´387.
[978] Cl'ement Ph., Grisvard P. Sommes d'op'erateurs et r'egularit'e L p dans les
probl`emes aux limites // C. R. Acad. Sci. Paris S'er. I Math., 314(11): p.821--824,
1992.
[979] Cl'ement Ph., Li S. Abstract parabolic quasilinear equations and application to a
groundwater flow problem // Adv. Math. Sci. Appl., 3(Special Issue): p.17--32,
1993/94.
[980] Cl'ement Ph., Londen S.´O. On the sum of fractional derivatives and m´accretive
operators // In Partial differential equations (Han´sur´Lesse, 1993), p. 91--100.
Akademie´Verlag, Berlin, 1994.

################# ######### 83
[981] Cl'ement Ph., MacCamy R. C., Nohel J. A. Asymptotic properties of solutions of
nonlinear abstract Volterra equations // J. Integral Equations, 3(3): p.185--216,
1981.
[982] Cl'ement Ph., Man'asevich R., Mitidieri E. Some existence and non´existence re´
sults for a homogeneous quasilinear problem // Asymptot. Anal., 17(1): p.13--29,
1998.
[983] Cl'ement Ph., Mitidieri E. Qualitative properties of solutions of Volterra equa´
tions in Banach spaces // Israel J. Math., 64(1): p.1--24, 1988.
[984] Cl'ement Ph., Nohel J. A. Asymptotic behavior of solutions of nonlinear Volterra
equations with completely positive kernels // SIAM J. Math. Anal., 12(4):
p.514--535, 1981.
[985] Cl'ement Ph., Pr?uss J. Completely positive measures and Feller semigroups //
Math. Ann., 287(1): p.73--105, 1990.
[986] Cl'ement Ph., Pr?uss J. Global existence for a semilinear parabolic Volterra equa´
tion // Math. Z., 209(1): p.17--26, 1992.
[987] Cl'ement Ph., Pr?uss J. On second order differential equations in Hilbert space //
Boll. Un. Mat. Ital. B (7), 3(3): p.623--638, 1989.
[988] Clement Ph., Timmermans C.A. On C 0 ´ semigroups generated by differential
operators satisfying Ventcel's boundary conditions // Mathematics. Proc. A.´
1986, 89(4). p. 379 ´ 387.
[989] Collatz L., Meinardus G., Nurhberger G. (Eds.) Numerical method of approxi´
mation theory. // vol.8 ´ 1986 ´ 264 p.
[990] Colli P., Favini A. On some degenerate second order equations of mixed type //
Funkcial. Ekvac., 38(3): p.473--489, 1995.
[991] Colli P., Favini A. Time discretization of nonlinear Cauchy problems applying to
mixed hyperbolic´parabolic equations // Internat. J. Math. Math. Sci., 19(3):
p.481--494, 1996.
[992] Coloman J.P. Characterization of a class of P ´stable method for differential equa´
tions of second order // J. Comput. & Appl. Math.´ 1988, 22, N 1. ´ p. 137´141.
[993] Cosner C., Rundell W. Extension of solutions to second order partial differential
equations by the method of quasireversibility. // Houston J. Math. ´ 1984, 10.´
p.357´370.

84 ################# #########
[994] Coppoletta G. Abstract singular evolution equations of ''hyperbolic'' type // J.
Func. Anal.´ 1983.´ 50, 1.´ p. 50´66.
[995] Coulhon T., Lamberton D. Quelques remarques sur la regularite IP du semi´
groupe de Stokes. (Some remarks on the V regularity of the Stokes semigroup)
// (French) Commun. Partial Differ. Equations 17, No.1/2, p. 287´304 (1992).
[996] Coxson P.G., Shapiro H. Positive input reachability and controllability of positive
systems. // Linear Algebra & Appl.´ 1987, 94.´ p. 35´53.
[997] Crandall M.G. A remark on semilinear perturbations of abstract parabolic equa´
tions. Nonlinear Anal., Theory, Meth. & Appl., 1985, Vol. 9, N 12, p. 1331´1335.
[998] Crandall M.G., Pazy A. Nonlinear evolution equations in Banach spaces // Israel
J. Math., 11: p.57--94, 1972.
[999] Crandall M.G., Pazy A. On the differentiability of weak solutions of a differential
equation in Banach space // J. Math. Mech., 18: p.1007--1016, 1968/1969.
[1000] Crandall M.G., Pazy A., Tartar L. Remarks on generators of analytic semigroups
// Israel J. Math., 32(4): p.363--374, 1979.
[1001] Cross R.W. Properties of some norm related functions of unbounded linear op´
erators // Math. Z.´ 1988, 199, N 2.´ p. 285´302.
[1002] Crouzeix M. On multistep approximation of semigroups in Banach spaces //
Proceedings of the 2nd international conference on computational and applied
mathematics (Leuven, 1986). J. Comput. Appl. Math. 20 (1987), Special Issue,
p. 25--35.
[1003] Crouzeix M. et al. The stability of rational approximations of analytic semigroups
// BIT, 33(1): p.74--84, 1993.
[1004] Crouzeix M., Larsson S., Piskarev S. and Thomee V. The stability of rational
approximations of analytic semigroups// BIT, 1993, Vol. 33, p. 74 -- 84.
[1005] Crouzeix M., Larsson S., Thom'ee V. Resolvent estimates for elliptic finite element
operators in one dimension // Math. Comp., 63(207): p.121--140, 1994.
[1006] Crouzeix M., Mignot A.L. Analyse numerique des equations differentiales. //
Paris,1984.
[1007] Crouzeix M., Thom'ee V. The stability in L p and W 1
p of the L 2 ´projection onto
finite element function spaces // Math. Comp., 48(178): p. 521--532, 1987.

################# ######### 85
[1008] Cuc V., Megan M. Asymptotic properties of evolution operators in Banach spaces
// Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 38, No.3´4, p. 121´129 (1995).
[1009] Curgus B.; Najman, B. Examples of positive operators in Krein space with 0 a
regular critical point of infinite rank // Gohberg, I. (ed.) et al., Differential and
integral operators. Vol. I. Proceedings of the international workshop on operator
theory and applications, IWOTA 95, Regensburg, Germany, July 31´August 4,
1995. Basel: Birkhaeuser. Oper. Theory, Adv. Appl. 102, p. 51´56 (1998).
[1010] Cuthbert J. R. Compactness conditions on Markov semi´groups // Z.
Wahrscheinlichkeitstheorie und Verw. Gebiete, 21: p.269--278, 1972.
[1011] Cuthbert J.R. On semigroups such that T (t) \Gamma I is compact for some t ? 0 //
Z. Wahrscheinlichkeitstheorie und Verw. Gebiete.´ 1971.´ 18, 1´2.´ p. 9´16.
[1012] Cuyt A. Pad'e approximants for operators: theory and applications // 1984.´ 138
p. (Lecture Notes Math.´ N 1065).
[1013] Cuyt A.A.M. The QD´algorithm for Pade´approximants in operator theory //
SIAM J. Math. Anal.´ 1984, Vol.15, N 4.´ p. 746 ´ 752.
[1014] D'Ancona P. Global solution of the Cauchy problem for a class of abstract non´
linear hyperbolic equations // Ann. Math. Pura & Appl.´ 1988.´ 151.´ c. 17´38.
[1015] Da Prato G. Abstract differential equations, maximal regularity and linearisation
// Proc. Symp. Pure Math.´1986 .´ 45 .´1 .´ p. 359´370.
[1016] Da Prato G. Characterization of the domain of an elliptic operator of infinitely
many variables in L 2 (?) spaces // Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat.
Natur. Rend. Lincei (9) Mat. Appl., 8(2): p.101--105, 1997.
[1017] Da Prato G. Fully nonlinear equations by linearization and maximal regularity,
and applications // Cea J. (ed.) et al., Partial differential equations and func´
tional analysis. In memory of Pierre Grisvard. Proceedings of a conference held
in November 1994. Boston, MA: Birkhaeuser. Prog. Nonlinear Differ. Equ. Appl.
22, p. 80´92 (1996).
[1018] Da Prato G. Fully nonlinear equations in Banach spaces // In Differential equa´
tions (Xanthi, 1987), p. 167--172. Dekker, New York, 1989.
[1019] Da Prato G. Introduction to differential stochastic equations. Scuola Normale
Superiore, Pisa, second edition, 1998.

86 ################# #########
[1020] Da Prato G. Maximal regularity for abstract differential equations and applica´
tions to the existence of periodic solutions // Trends Theory and Pract. Non´Lin.
Anal., Amsterdam e. a.´ 1985.´ p. 121´126.
[1021] Da Prato G. Null controllability and strong Feller property of Markov transition
semigroups // Nonlinear Anal., 25(9´10): p.941--949, 1995.
[1022] Da Prato G. On perturbations of symmetric Gaussian diffusions // Stochastic
Anal. Appl., 17(3): p.369--381, 1999.
[1023] Da Prato G. Parabolic equations in infinitely many variables // In Proceedings of
the Second International Conference in Functional Analysis and Approximation
Theory (Acquafredda di Maratea, 1992), N 33, p. 25--38, 1993.
[1024] Da Prato G. Perturbation of Ornstein´Uhlenbeck semigroups // Rend. Istit. Mat.
Univ. Trieste, 28(suppl.): p.101--126 (1997), 1996. Dedicated to the memory of
Pierre Grisvard.
[1025] Da Prato G. Perturbations of Ornstein´Uhlenbeck transition semigroups by a
subquadratic potential // Commun. Appl. Anal., 2(3): p.431--444, 1998.
[1026] Da Prato G. Poincar'e inequality for some measures in Hilbert spaces and appli´
cation to spectral gap for transition semigroups // Ann. Scuola Norm. Sup. Pisa
Cl. Sci. (4), 25(3´4): p.419--431 (1998), 1997. Dedicated to Ennio De Giorgi.
[1027] Da Prato G. Regularity results for Kolmogorov equations in L 2 (H; ?) spaces //
(English) Ukr. Mat. Zh. 49, No.3, p. 448´457 (1997).
[1028] Da Prato G. Smoothing properties of heat semigroups in infinite dimensions //
In Semigroups of linear and nonlinear operations and applications (Cura?cao,
1992), p. 129--141. Kluwer Acad. Publ., Dordrecht, 1993.
[1029] Da Prato G. Some degenerate fully nonlinear equations // In Semigroup theory
and applications (Trieste, 1987), p. 17--123. Dekker, New York, 1989.
[1030] Da Prato G. Some remarks on ergodic and periodic control // In Optimal control
of differential equations (Athens, OH, 1993), p. 79--89. Dekker, New York, 1994.
[1031] Da Prato G. Some results for semilinear equations perturbed by white noise //
In Partial differential equations and related subjects (Trento, 1990), p. 78--84.
Longman Sci. Tech., Harlow, 1992.
[1032] Da Prato G. Some results on boundary periodic control problems // In Mathe´
matical theory of control (Bombay, 1990), p. 69--86. Dekker, New York, 1993.

################# ######### 87
[1033] Da Prato G. Some results on controllability for semilinear equations // In Non´
linear analysis, p. 161--172. Scuola Norm. Sup., Pisa, 1991.
[1034] Da Prato G. Some results on elliptic and parabolic equations in Hilbert spaces
// Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,
7(3): p.181--199, 1996.
[1035] Da Prato G. Some results on parabolic equations in Hilbert spaces // In Differ´
ential equations and applications, Vol. I, II (Columbus, OH, 1988), p.191--205.
Ohio Univ. Press, Athens, OH, 1989.
[1036] Da Prato G. Some results on parabolic evolution equations with infinitely many
variables // J. Diff.Equat.´ 68.´ 1987, no. 2, p. 281--297.
[1037] Da Prato G. The Ornstein´Uhlenbeck generator perturbed by the gradient of a
potential // Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), 1(3): p.501--519,
1998.
[1038] Da Prato G. Transition semigroups associated with Kolmogorov equations in
Hilbert spaces // In Progress in partial differential equations: the Metz surveys,
3, p. 199--214. Longman Sci. Tech., Harlow, 1994.
[1039] Da Prato G., Elworthy K. D., Zabczyk J. Strong Feller property for stochastic
semilinear equations // Stochastic Anal. Appl., 13(1): p.35--45, 1995.
[1040] Da Prato G., Giusti E. A characterization on generators of abstract cosine func´
tions // Boll. Del. Un. Mat.´ 1967.´ 22.´ p. 367´362.
[1041] Da Prato G., Goldys B., Zabczyk J. Ornstein´Uhlenbeck semigroups in open sets
of Hilbert spaces // C.R. Acad. Sci. Paris S'er. I Math., 325(4): p.433--438, 1997.
[1042] Da Prato G., Grisvard P. Equations d'evolution abstraites non lin'eaires de type
parabolique // Ann. Mat. Pura Appl. 1979. IV. v.120, p. 329´396.
[1043] Da Prato G., Grisvard P. Maximal regularity for evolution equations by interpo´
lation and extrapolation // J. Func. Anal.´ 1984.´ 58.´ p. 107´124.
[1044] Da Prato G., Grisvard P. On an abstract singular Cauchy problem // Comm.
Part. Diff. Equat.´ 1978.´ (3)11.´ p. 1077´1082.
[1045] Da Prato G., Grisvard P. Sommes d'operateures lineaires et equations differen´
tielles operationnelles // J. Math. Pures et Appl.´ 1975.´ 54.´ p. 305´387.
[1046] Da Prato G., Grisvard P. The damped wave equation in a noncylindrical domain
// Differential Integral Equations, 7(3´4):735--746, 1994.

88 ################# #########
[1047] Da Prato G., Iannelli M. Boundary control problem for age´dependent equations
// In Evolution equations, control theory, and biomathematics (Han sur Lesse,
1991), p. 91--100. Dekker, New York, 1994.
[1048] Da Prato G., Ianelli M. On a method for studing abstract evolution equations in
the hyperbolic case // Comm. Part. Diff. Eq.´ 1976.´ 1(6).´ p. 585´608.
[1049] Da Prato G., Ichikawa A. Quadratic control for linear periodic system // Appl.
Math. and Optimiz. ´1988, 18, N 1.´ p. 39´66.
[1050] Da Prato G., Ichikawa A. Optimal control for integrodifferential equations of
parabolic type // SIAM J. Control Optim., 31(5): p.1167--1182, 1993.
[1051] Da Prato G., Kwapie'n S., Zabczyk J. Regularity of solutions of linear stochastic
equations in Hilbert spaces // Stochastics, 23(1): p.1--23, 1987.
[1052] Da Prato G., Lunardi A. Floquet exponents and stabilizability in time´periodic
parabolic systems // Appl. Math. Optim., 22(1): p.91--113, 1990.
[1053] Da Prato G., Lunardi A. Hopf bifurcation for fully nonlinear equations in Banach
space // Ann. Inst. H. Poincar'e Anal. Non Lin'eaire, 3(4): p.315--329, 1986.
[1054] Da Prato G., Lunardi A. Hopf bifurcation for nonlinear integro´differential equa´
tions in Banach spaces with infinite delay // Indiana Univ. Math. J., 36(2):
p.241--255, 1987.
[1055] Da Prato G., Lunardi A. Maximal regularity for stochastic convolutions in L p
spaces // Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat.
Appl., 9(1): p.25--29, 1998.
[1056] Da Prato G., Lunardi A. On the Ornstein´Uhlenbeck operator in spaces of con´
tinuous functions // J. Funct. Anal., 131(1): p.94--114, 1995.
[1057] Da Prato G., Lunardi A. Solvability on the real line of a class of linear Volterra
integrodifferential equations of parabolic type // Ann. Mat. Pura ed Appl.´ 1988.´
N 150.´ c. 67´117.
[1058] Da Prato G., Lunardi A. Stability, instability and center manifold theorem for
fully nonlinear autonomous parabolic equations in Banach space // Arch. Ratio´
nal Mech. Anal., 101(2): p.115--141, 1988.
[1059] Da Prato G., Lunardi A. Stabilizability of integrodifferential parabolic equations
// J. Integral Equations Appl., 2(2): p.281--304, 1990.

################# ######### 89
[1060] Da Prato G., Sinestrari E. Differential operators with nondence domain // Ann.
Scuola norm. super. Pisa Sci. fis e mat.´ 1987.´ 14, 2.´ p. 285´344.
[1061] Da Prato G., Sinestrari E. H?older regularity for non´autonomous abstract
parabolic equations // Isr. J. Math.´ 1982.´ 42.´ p. 1´19.
[1062] Da Prato G., Sinestrari E. Nonautonomous evolution operators of hyperbolic
type // Semigroup Forum, 45(3): p.302--321, 1992.
[1063] Da Prato G., Sinestrari E. Time dependent differential equations in nonreflexive
Banach spaces // In Differential equations with applications in biology, physics,
and engineering (Leibnitz, 1989), p. 79--89. Dekker, New York, 1991.
[1064] Da Prato G., Zabczyk J. Differentiability of the Feynman´Kac semigroup and a
control application // Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl., 8(3): p.183--188, 1997.
[1065] Da Prato G., Zabczyk J. Evolution equations with white´noise boundary condi´
tions // Stochastics Stochastics Rep., 42(3´4): p.167--182, 1993.
[1066] Da Prato G., Zabczyk J. Smoothing properties of transition semigroups in Hilbert
spaces // Stochastics Stochastics Rep., 35(2): p.63--77, 1991.
[1067] Da Prato G., Zabczyk J. Stochastic equations in infinite dimensions // Encyclo´
pedia Math. & its Appl. Vol. 44, Cambridge University Press, 1992.
[1068] Da Prato G., Zol'esio J.´P. Existence and optimal control for wave equation in
moving domain // In Stabilization of flexible structures (Montpellier, 1989),
p.167--190. Springer, Berlin, 1990.
[1069] Da Prato G., Zol'esio J.´P., editors. Partial differential equation methods in con´
trol and shape analysis. Marcel Dekker Inc., New York, 1997. Papers from the
IFIP Working Group 7.2 Conference on Control & Shape Optimization held at
the Scuola Normale Superiore di Pisa, Pisa.
[1070] Dalecky Yu. L., Goncharuk N. Yu. Random operator functions defined by
stochastic differential equations //´ in ''Measures and differential equations in
infinite´dimensional space'', Proc. Vth Vilnius Conf. Prob. Theory and Math.
Stat. 1 (1990), p. 433--445.
[1071] Dalecky Yu. L. and Goncharuk N.Yu. Supplement to chapter VII, Stochastic
regularization of the ill´posed abstract parabolic problem // in ''Measures and
differential equations in infinite´dimensional space'', by Dalecky Yu. L. and Fomin
S.V. with additional material by V. R. Steblovskaya, Yu. V. Bogdansky and N.Yu.

90 ################# #########
Goncharuk (translated from the Russian), Kluwer Academic Publisher Group,
Dordrecht, 1991, p. 323--333.
[1072] Daners D., Medina P.K. Abstract evolution equations. Periodic Problems and
applications. Pitman Res. Notes in Math. Ser 279, Longman, New´York, 1992.
[1073] Datta B.N., Datta K. Theoretical and computational aspects of some linear al´
gebra problems on control theory // Comput. & Comb. M#th. Syst. Theory.´
1986.
[1074] Dautray R., Lions J.L. Evolution Problems, I // Math. Anal. Numer. Meth. Sci.
Techn.´ 1989.´ V. 1.´ 310 c.
[1075] Davies B. Integral transform and their applications.´ 1985.´ 411p. (Appl. Math.
Sciences 25).
[1076] Davies E.B. Limits on L p regularity of self´adjoint elliptic operators // J.
Diff.Equat.´ 135, No.1, p. 83´102 (1997).
[1077] Davies E.B. One parameter semigroups. London, Academic press. 1980.´ 231 p.
[1078] Davies E.B. Perturbations of ultracontractive semigroups // Quart. J. Math.
Oxford.´ 1986.´ 37, 2.´ N 146.´ p. 167´176.
[1079] Davies E.B., Pang M.M. The Cauchy problems and a generalization of the Hille´
Yosida theorem // Proc. London Math. Soc. 55 (1987), p. 181--208.
[1080] Davies E.V., Rothaus O. S. Markov semigroups on C \Lambda ´bundles // J. Funct. Anal.,
85(2): p.264--286, 1989.
[1081] Davies E.V., Simon B. L p norms of noncritical Schr?odinger semigroups // J.
Funct. Anal., 102(1): p.95--115, 1991.
[1082] Davies E.B., Simon B., Ultracontractive semigroups and some problems in analy´
sis// Collection: Aspects of mathematics and its applications, p. 265--280 North´
Holland Math. Library, 34, North´Holland, Amsterdam´New York, 1986.
[1083] Dawson D. A., Gorostiza L. G. \Lambda ´solutions of evolution equations in Hilbert space
// J. Diff. Equat. 68 (1987), no. 3, p. 299--319.
[1084] De Bruin M.G. Simultaneous partial Pad'e approximants // J. Comput. & Appl.
Math. ´ 1988, 21, N 3.´ p. 343´355.
[1085] de Laubenfels R. C 0 ´scalar operators on cyclic spaces // Studia Math., 92(1):
p.49--58, 1989.

################# ######### 91
[1086] de Laubenfels R. C´existence families // In Semigroup theory and evolution
equations (Delft, 1989), p.295--309. Dekker, New York, 1991.
[1087] de Laubenfels R. C´semigroups and strongly continuous semigroups // Israel J.
Math., 81(1´2): p.227--255, 1993.
[1088] de Laubenfels R. C´semigroups and the Cauchy problem // J. Funct. Anal. 111
(1).´ 1993, p. 44--61.
[1089] de Laubenfels R. A holomorphic functional calculus for unbounded operators //
Houston J. Math., 13(4): p.545--548, 1987.
[1090] de Laubenfels R. Automatic extensions of functional calculi // Studia Math.,
114(3): p.237--259, 1995.
[1091] de Laubenfels R. Automatic well´posedness with the abstract Cauchy problem
on a Fr'echet space // J. London Math. Soc. (2), 48(3): p.526--536, 1993.
[1092] de Laubenfels R. Boundary values of holomorphic semigroups, H 1 functional
calculi, and the inhomogeneous abstract Cauchy problem // In Differential equa´
tions in Banach spaces (Bologna, 1991), p.181--194. Dekker, New York, 1993.
[1093] de Laubenfels R. Bounded, commuting multiplicative perturbations of strongly
continuous group generators // Houston J. Math., 17(3): p.299--310, 1991.
[1094] de Laubenfels R. Correction to: ``Well´behaved derivations on C[0; 1]'' [Pacific
J. Math. 115 (1984), no. 1, 73--80; MR 86a:46059] // Pacific J. Math., 130(2):
p.395--396, 1987.
[1095] de Laubenfels R. Entire solutions of the abstract Cauchy problem // Semigroup
Forum, 42, No.1, p. 83´105 (1991).
[1096] de Laubenfels R. Entire vectors and entire existence families // In Recent de´
velopments in evolution equations (Glasgow, 1994), p. 100--108. Longman Sci.
Tech., Harlow, 1995.
[1097] de Laubenfels R. Existence and uniqueness families for the abstract Cauchy prob´
lem // J. London Math. Soc. (2), 44(2): p.310--338, 1991.
[1098] de Laubenfels R. Existence families, functional calculi and evolution equations
// Springer´Verlag.´ Berlin, 1994. Lecture Notes Math. V.1570.
[1099] de Laubenfels R. Extensions of d=dx that generate uniformly bounded semigroups
// Pacific J. Math., 107(1): p.95--105, 1983.

92 ################# #########
[1100] de Laubenfels R. Functional calculi, semigroups of operators, and Hille´Yosida
operators // Houston J. Math. 22, No.4, p. 787´805 (1996).
[1101] de Laubenfels R. Functional calculus for generators of uniformly bounded holo´
morphic semigroups // Semigroup Forum, 38(1): p.91--103, 1989.
[1102] de Laubenfels R. Holomorphic C´existence families // Tokyo J. Math., 15(1):
p.17--38, 1992.
[1103] de Laubenfels R. Incomplete iterated Cauchy problems // J. Math. Anal. Appl.,
168(2): p.552--579, 1992.
[1104] de Laubenfels R. Integrated semigroupes and integro´differential equations //
Math. Z. ´ 1990.´ 204 (4).´ p.501´514.
[1105] de Laubenfels R. Integrated semigroups, C´semigroups and the abstract Cauchy
problems // Semigroups Forum 41(1), 1990, p. 83--95.
[1106] de Laubenfels R. Inverses of generators // Proc. Amer. Math. Soc.´ 1988.´ 104,
2.´ p. 433´448.
[1107] de Laubenfels R. m´accretive operators with m´dispersive resolvents // Proc.
Amer. Math. Soc., 92(2): p.273--276, 1984.
[1108] de Laubenfels R. Matrices of operators and regularized semigroups // Math. Z.,
212(4): p.619--629, 1993.
[1109] de Laubenfels R. On the relation between the semigroup and its infinitesimal
generators // Proc. Amer. Math. Soc.´ 100.´ N1.´ p.104´108.
[1110] de Laubenfels R. Pointwise functional calculi // J. Funct. Anal., 142(1): p.32--78,
1996.
[1111] de Laubenfels R. Polinomials of generators of integrated semigroups // Proc.
Amer. Math. Soc. 1989.´ v.107, N 1.´ p. 197´204.
[1112] de Laubenfels R. Powers of generators of holomorphic semigroups // Proc. Amer.
Math Soc.´ 1987, 99, N 1.´ p. 105 ´ 108.
[1113] de Laubenfels R. Regularized functional calculi and evolution equations // In
Evolution equations (Baton Rouge, LA, 1992), p.141--152. Dekker, New York,
1995.
[1114] de Laubenfels R. Scalar´type spectral operators and holomorphic semigroups //
Semigroup forum.´ 1986, 33, N 2.´ p. 257 ´ 263.

################# ######### 93
[1115] de Laubenfels R. Second order incomplite expiring Cauchy problems // Semi´
group Forum.´ 1989.´ 39, 1.´ p. 75´84.
[1116] de Laubenfels R. Similarity to a contraction, for power´bounded operators with
finite peripheral spectrum // Trans. Am. Math. Soc. 350, No.8, p. 3169´3191
(1998).
[1117] de Laubenfels R. Simultaneous well´posedness // In Evolution equations, control
theory, and biomathematics (Han sur Lesse, 1991), p.101--115. Dekker, New York,
1994.
[1118] de Laubenfels R. Spectral projections, semigroups of operators, and the Laplace
transform // Janas J. (ed.) et al., Linear operators. Proceedings of the semester
organized at the Stefan Banach Internatuional Mathematical Center, Warsaw,
Poland, February 7 ´ May 15, 1994. Warsaw: Polish Academy of Sciences, Inst.
of Mathematics, Banach Cent. Publ. 38, p. 193´204 (1997).
[1119] de Laubenfels R. Strongly continuous groups, similarity and numerical range on
a Hilbert space // Taiwanese J. Math., 1(2): p.127--133, 1997.
[1120] de Laubenfels R. The abstract Cauchy problem on semiclosed subspaces // In
Differential equations and applications, Vol. I, II (Columbus, OH, 1988), p. 223--
227. Ohio Univ. Press, Athens, OH, 1989.
[1121] de Laubenfels R. The moment problem and C n ´scalar operators // Honam Math.
J., 7(1): p.7--13, 1985.
[1122] de Laubenfels R. The operator id=dx; on C[0; 1]; is C 1 ´scalar // Proc. Amer.
Math. Soc., 103(1): p.215--221, 1988.
[1123] de Laubenfels R. Totally accretiv operators // Proc. Amer. Math. Soc. 1988.´
V.103, N 2.´ p. 551´556.
[1124] de Laubenfels R. Unbounded holomorphic functional calculus and abstarct
Cauchy problems for operators with polynomially bounded resolvents // Funct.
Anal. 114, No.2, p. 348´394 (1993).
[1125] de Laubenfels R. Unbounded scalar operators on Banach lattices // Honam
Math. J.´ 8 (1986), no. 1, p. 1--19.
[1126] de Laubenfels R. Unbounded well´bounded operators, strongly continuous semi´
groups and the Laplace transform // Studia Math., 103(2): p.143--159, 1992.

94 ################# #########
[1127] de Laubenfels R. Vectors of uniqueness for id=dx // Studia Math., 88(3): p.269--
274, 1988.
[1128] de Laubenfels R. Well´behaved derivations on C[0; 1] // Pacific J. Math., 115(1):
p.73--80, 1984.
[1129] de Laubenfels R., Emamirad H. Application de la th'eorie des semi´groupes C´
r'egularis'es en 'elasticit'e lin'eaire // C.R. Acad. Sci. Paris S'er. I Math., 316(7):
p.759--762, 1993.
[1130] de Laubenfels R., Emamirad H. C´spectrality of the Schr?odinger operator in L p
spaces // Appl. Math. Lett., 10(1): p.61--64, 1997.
[1131] de Laubenfels R., Emamirad H., Jazar M. Regularized scalar operators // Appl.
Math. Lett., 10(1): p.65--69, 1997.
bibitemMR98h:47060/896.47034 de Laubenfels R., Huang Z., Wang S., Wang Y.
Laplace transforms of polynomially bounded vector´valued functions and semi´
groupes of operators // Isr. J. Math.´ 1997.´ 98.´ p. 189´207.
[1132] de Laubenfels R., Jazar M. Commuting multiplicative perturbations // Houston
J. Math., 20(3): p.425--434, 1994.
[1133] de Laubenfels R., Jazar M. Functional calculi, regularized semigroups and inte´
grated semigroups // Studia Math., 132(2): p.151--172, 1999.
[1134] de Laubenfels R., Jazar M. Regularized spectral distributions // Acta Appl.
Math., 43(3): p.267--287, 1996.
[1135] de Laubenfels R., Kantorovitz S. Laplace and Laplace´Stieltjes spaces // J.
Funct. Anal. 116, No.1, p. 1´61 (1993).
[1136] de Laubenfels R., Kantorovitz S. The semi´simplicity manifold on arbitrary Ba´
nach spaces // J. Funct. Anal., 133(1): p.138--167, 1995.
[1137] de Laubenfels R., Latushkin Y. Dichotomy and H 1 functional calculi // Elec´
tron. J. Differential Equations, 1995:No. 13, approx. 17 pp. (electronic).
[1138] de Laubenfels R., Lei Y. Regularized functional calculi, semigroups, and cosine
functions for pseudodifferential operators // Abstr. Appl. Anal., 2(1´2): p.121--
136, 1997.
[1139] de Laubenfels R., Piskarev S. The growth rate of cosine families // J. Math.
Anal. Appl. ´ 1995.´ 196 (2).´ p. 442´451.

################# ######### 95
[1140] de Laubenfels R., Sun G., Wang S. Regularized semigroups, existence fami´
lies and the abstract Cauchy problem // Differential Integral Equations, 8(6):
p.1477--1496, 1995.
[1141] de Laubenfels R., V~u Qu?oc Ph'ong. Decomposable embeddings, complete trajec´
tories, and invariant subspaces // Studia Math., 119(1): p.65--76, 1996.
[1142] de Laubenfels R., V~u Quoc Ph'ong. Stability and almost periodicity of solutions
of ill´posed abstract Cauchy problems // Proc. Amer. Math. Soc., 125(1): p.235--
241, 1997.
[1143] de Laubenfels R., V~u Qu?oc´Ph'ong. The discrete Hille´Yosida space and the
asymptotic behaviour of individual orbits of linear operators // J. Funct. Anal.,
142(2): p.539--548, 1996.
[1144] de Laubenfels R., Wang S. Regularized quasi´spectral distributions // Acta
Math. Hungar., 78(3): p.227--249, 1998.
[1145] de Laubenfels R., Wang S. Spectral conditions guaranteeing a nontrivial solution
of the abstract Cauchy problem // Proc. Amer. Math. Soc. 126, No.11, p. 3271´
3278 (1998).
[1146] de Laubenfels R., Yao F. Entire solutions of the abstract Cauchy problem in a
Hilbert space // Proc. Amer. Math. Soc., 123(11): p.3351--3356, 1995.
[1147] de Laubenfels R., Yao F. Regularized semigroups of bounded semivariation //
Semigroup Forum, 53(3): p.369--383, 1996.
[1148] de Laubenfels R., Yao F. Regularized semigroups of bounded semivariation //
Semigroup Forum, 54(1): p.43--57, 1997.
[1149] de Laubenfels R., Yao F., Wang S. Fractional powers of operators of regularized
type // J. Math. Anal. Appl., 199(3): p.910--933, 1996.
[1150] De Pagter B. A characterisation of sun´reflexivity // Math. Ann. 1989. V.283.´
p. 511´518.
[1151] De Pagter B. Measures of non´compactness of operators in Banach lattices // J.
Funct. Anal.´ 1988, N 1.´ c. 31´55.
[1152] De Pagter B., Schep A.R. Diagonals of positive semigroups // Integral Equations
Oper. Theory 27, No.4, p. 446´472 (1997).
[1153] De Pagter B., Schep A.R. Measures of non´compactness of operators in Banach
lattices // J. Funct. Anal.´ 1988, 78, N1.´ p. 31´55.

96 ################# #########
[1154] De´ren Wang, Ju´Jiang Wu. Some modifications of parallel Halley iteration
method and their convergence // Computing.´ 1987, 38, N 1.´ p. 75 ´ 87.
[1155] Delache S. G'en'eration des semi´groupes non lin'eaires de contractions dans les
espaces de Hilbert // pages 20 pp. Secr'etariat des Math., Publ. No. 125, 1973.
D'apr`es M. G. Crandall et A. Pazy,´ J. Functional Analysis 3 (1969), 367--418;
ibid. 5 (1970), p.204--217.
[1156] Demengel F., Ghidaglia J.´M. Discr'etisation en temps et vari'et'es inerticlles pour
des 'equation d'evolution aux derivies partielles non lin'eares //C. r. Acad. sci.
Ser.1´ 1988.´ 307, N9.´ c.453´458.
[1157] Demuth M., Stollmann P., Stolz G., van Casteren J. Trace norm estimates for
products of integral operators and diffusion semigroups // Integral Equations
Oper. Theory 23, No.2, p. 145´153 (1995).
[1158] Deng J.´P., Xiao T.´J., Liang J. Holomorphic regularized semigroups and regu´
larized cosine functions // Acta Math. Sinica, 41(3): p.545--552, 1998.
[1159] Derndinger R. ?
Uber das Spektrum positiver Generatoren // Math. Z.´ 1980.´ p.
281´293.
[1160] Desch G.W. The state space L 1 for functional´differential equations // In Evolu´
tion equations and their applications (Schloss Retzhof, 1981), p. 63--79. Pitman,
Boston, Mass., 1982.
[1161] Desch W. Resolvent operators and propagation of singularities for linear integro´
differential equations // In IVth meeting of mathematicians in Zagreb´Graz
(Mali Lo?sinj, 1984), pages Ber. No. 243, 14. Forschungszentrum Graz, Graz,
1985.
[1162] Desch W. Wellrosedress and wave propagation for a class of integrodifferential
equations on Banach space // J. Diff. Equat.´ 1988, 74, N 2,´ p. 391´411.
[1163] Desch W., Gy?ori I., Pongor G. Stability of semilinear delay equations with posi´
tive solutions // Positivity, 1(4): p.319--330, 1997.
[1164] Desch W., Grimmer R. C. Initial´boundary value problems for integro´differential
equations // J. Integral Equations, 10(1´3, suppl.): p.73--97, 1985. Integro´
differential evolution equations and applications (Trento, 1984).
[1165] Desch W., Grimmer R. Invariance and wave propagation for nonlinear integro´
differential equations in Banach spaces // J. Integral Equations, 8(2): p.137--164,
1985.

################# ######### 97
[1166] Desch W., Grimmer R. Smoothing properties of linear Volterra integro´
differential equations // SIAM J. Math. Anal., 20(1): p.116--132, 1989.
[1167] Desch W., Grimmer R. C. Spectral resolution for integrodifferential equations //
In Proceedings of the 28th IEEE Conference on Decision and Control, Vol. 1--3
(Tampa, FL, 1989), p. 151--154, New York, 1989. IEEE.
[1168] Desch W., Grimmer R., Schappacher W. Propagation of singularities by solu´
tions of second order integrodifferential equations // In Volterra integrodiffer´
ential equations in Banach spaces and applications (Trento, 1987), p. 101--110.
Longman Sci. Tech., Harlow, 1989.
[1169] Desch W., Grimmer R., Schappacher W. Some considerations for linear integro´
differential equations // J. Math. Anal. Appl., 104(1): p.219--234, 1984.
[1170] Desch W., Grimmer R., Schappacher W. Well´posedness and wave propagation
for a class of integrodifferential equations in Banach space // J. Differential
Equations, 74(2): p.391--411, 1988.
[1171] Desch W., Lasiecka I., Schappacher W. Feedback boundary control for linear
semigroups // Israel Math. J. 1985. V.51.´ p. 177´207.
[1172] Desch W., Miller R.K. Exponential stabilization of Volterra integral equations
with singular kernels // J. Integral Equations Appl., 1(3): p.397--433, 1988.
[1173] Desch W., Miller R.K. Exponential stabilization of Volterra integro´differential
equations in Hilbert space // J. Differential Equations, 70(3): p.366--389, 1987.
[1174] Desch W., Pr?uss J. Counterexamples for abstract linear Volterra equations // J.
Integral Equations Appl., 5(1): p.29--45, 1993.
[1175] Desch W., Pr?uss J. Dynamical behavior of a two´phase chemically reacting sys´
tem including mass transfer // Differential Integral Equations, 7(3´4): p.767--793,
1994.
[1176] Desch W., Rhandi A. On the norm continuity of transition semigroups in Hilbert
spaces // Arch. Math. (Basel), 70(1): p.52--56, 1998.
[1177] Desch W., Schappacher W. A note on the comparision of C 0 ´semigroups, II //
Semigroup Forum.´ 1987.´ 35, 2.´ p. 237´243.
[1178] Desch W., Schappacher W. A representation formula for (nonlinear) evolution
operators // Boll. Un. Mat. Ital. C (6), 2(1): p.213--225, 1983.

98 ################# #########
[1179] Desch W., Schappacher W. The semigroup approach to integro´differential equa´
tions // In Differential and integral equations (Iowa City, Iowa, 1983/Argonne,
Ill., 1984), p. 19--40. Univ. Missouri´Rolla, Rolla, Mo., 1985.
[1180] Desch W., Schappacher W. A semigroup approach to integro´differential equa´
tions in Banach spaces // J. Integral Equations, 10(1´3, suppl.): p.99--110, 1985.
Integro´differential evolution equations and applications (Trento, 1984).
[1181] Desch W., Schappacher W. Linearized stability for nonlinear semigroups // Col´
lection: Differential equations in Banach spaces (Bologna, 1985), p. 61--73.´ Lec´
ture Notes in Math., 1223, Springer, Berlin´New York, 1986.
[1182] Desch W., Schappacher W. On relatively bounded perturbations of linear C 0 ´
semigroups // Ann. Sci. Ecole. Norm. super.´ 1984.´ 7, 2.´ p. 327´341.
[1183] Desch W., Schappacher W. On relatively bounded perturbations of linear C 0 ´
semigroups and the abstract Hilbert transform // Appl. Anal.´ 1977.´ 79A.´ p.
173´182.
[1184] Desch W., Schappacher W. Some generation results for perturbed semigroups //
In Semigroup theory and applications (Trieste, 1987), p.125--152. Dekker, New
York, 1989.
[1185] Desch W., Schappacher W. Some perturbation results for analitic semigroups //
Math. Ann.´ 1988. V.284. p. 157´162.
[1186] Desch W., Schappacher W. Spectral properties of finite dimentional perturbed
linear semigroups // J. Diff. Equat.´ 1985.´ 59, 1.´ p. 80´102.
[1187] Desch W., Schappacher W., Webb G.F. Hypercyclic and chaotic semigroups of
linear operators // Ergodic Theory Dyn. Syst. 17, No.4, p. 793´819 (1997).
[1188] Desch W., Schappacher W., Zhang K. Semilinear evolution equations // Houston
J. Math., 15(4): p.527--552, 1989.
[1189] Desch W., Wheeler R.L. Destabilization due to delay in one´dimensional feedback
// In Control and estimation of distributed parameter systems (Vorau, 1988), p.
61--83. Birkh?auser, Basel, 1989.
[1190] Deshpande M.V., Padhyc S.M. A note on semigroups of nonlinear operators //
J. Indian Math. Sci.´ 1985, 49, N 1´2.´ p. 1´6.
[1191] Dettman J.W. Related semigroups and the abstract Hilbert transform // Appl.
Anal.´ 1977.´ 79A.´ p. 173´182.

################# ######### 99
[1192] Dettman J.W. Saturations theorems connected with the abstract wave equation
// SIAM J. Math. Anal.´ 9, 1.´ p. 59´64.
[1193] Dhombres J.G. On the historical role of functional equations // Collection: Func´
tional equations: history, applications and theory, 17--31, Math. Appl., Reidel,
Dordrecht´Boston, MA, 1984.
[1194] Di Blasio G. Characterisation of interpolation spaces and regularity properties
for holomorphic semigroups // Semigroup forum.´ 1989.´ 38, 2.´ p. 179´187.
[1195] Di Blasio G., Kunisch K., Sinestrari E. Stability for abstract linear functional
differential equations, II // Isr. J. Math.´ 1985.´ 50.´ p. 231´263.
[1196] Di Blasio Gabriella. Time and space Sobolev regularity of solutions to homoge´
neous parabolic equations// Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.
Rend. Lincei (9) Mat. Appl., 9(2), p. 89--94, 1998.
[1197] Dickmeis W., Roeckerath M.Th. On stable limit laws with orders and their con´
nection to numerical analysis // Numer. Funct. Anal. Optim.´ 1979, 1, N 4.´ p.
383 ´ 397.
[1198] Diekmann O., Gyllenberg M., Heijmans H. J. A. M. When are two C 0 semigroups
related by a bounded perturbation? // In Semigroup theory and applications
(Trieste, 1987), p.153--162. Dekker, New York, 1989.
[1199] Diekmann O., Gyllenberg M., Thieme H. Pertubing semigroups by solving Stielt´
jes renewal equations // Differential and integral equations. 1993.´ 6.´ p. 155´181.
[1200] Diekmann O., Gyllenberg M., Thieme H.R. Semigroups and renewal equations
on dual Banach spaces with applications to population dynamics // Delay dif´
ferential equations and dynamical systems, Proc. Conf., Claremont/CA (USA)
1990, Lect. Notes Math. 1475, p. 116´129 (1991).
[1201] Diekmann O., Heijmans H. J. A. M. Nonlinear dynamical systems: worked ex´
amples, perspectives and open problems // In The dynamics of physiologically
structured populations (Amsterdam, 1983), p. 203--261. Springer, Berlin, 1986.
With contributions by F. van den Bosch.
[1202] Ding T. Some results on dual cosine operator function // J. Math. Res. Expo.
18, No.2, p. 197´200 (1998).
[1203] Doha E.H. Rational and polynomial approximations from ultraspherical serics
for linear differential equations // Math. Anal. and its Appl. Proc. Int. Conf.´
1988.´ p. 251´260.

100 ################# #########
[1204] Dore G. L p regularity for abstract differential equations // In Functional analysis
and related topics, 1991 (Kyoto), p.25--38. Springer, Berlin, 1993.
[1205] Dore G., Favini A. On the equivalence of certain interpolation methods // Boll.
Un. Mat. Ital. B (7), 1(4): p.1227--1238, 1987.
[1206] Dore G., Favini A., Obrecht E., Venni A., editors. Differential equations in Ba´
nach spaces, New York, 1993. Marcel Dekker Inc.
[1207] Dore G., Guidetti D. On a singular non autonomous equation in Banach spaces
// Lect. Notes in Math.´1986, N 1223.´ p. 92 ´ 101.
[1208] Dore G., Venni A. An operational method to solve a Dirichlet problem for the
Laplace operator in a plane sector. Differential Integral Equations, 3(2):323--334,
1990.
[1209] Dore G., Venni A. Maximal regularity for abstract differential equations in higher
order interpolation spaces // In Semigroup theory and evolution equations (Delft,
1989), p. 125--141. Dekker, New York, 1991.
[1210] Dore G., Venni A. Maximal regularity for parabolic initial´boundary value prob´
lems in Sobolev spaces // Math. Z., 208(2): p.297--308, 1991.
[1211] Dore G., Venni A. On a singular evolution equation in Banach spaces // J. Funct.
Anal., 64(2): p.227--250, 1985.
[1212] Dore G., Venni A. On the closedness of the sum of two closed operators // Math.
Z.´ 196 (1987), no. 2, p. 189--201.
[1213] Dore G., Venni A. Separation of two (possibly unbounded) components of the
spectrum of a linear operator // Integral Equations Operator Theory, 12(4): p.
470--485, 1989.
[1214] Dore G., Venni A. Some results about complex powers of closed operators //
Math. Z. 1987. V.196, N 2. p. 189´201.
[1215] Dore G., Venni A. Some results about complex powers of closed operators // J.
Math. Anal. Appl., 149(1): p.124--136, 1990.
[1216] Dorroh J.R. Semigroups of operators and second order Cauchy problems // Semi´
group Forum.´ 1985.´ 31.´ p. 297´304.
[1217] Doust I., de Laubenfels R. Functional calculus, integral representations, and
Banach space geometry // Auaestiones Math., 17(2): p.161--171, 1994.

################# ######### 101
[1218] Drager L.D., Foote R.L., Martin C.F. Controllability of linear systems, differ´
ential geometry of curves in Grassmanians, and Riccati equations // Contemp.
Math.´ 1987, 68.´ p. 85´98.
[1219] Dubois R.´M., Lumer G. Formule de Duhamel abstraite // Arch. Math. (Basel),
43(1): p.49--56, 1984.
[1220] Dunster T. M., Lutz D.A. Convergent factorial series expansions for Bessel func´
tions // SIAM J. Math. Anal., 22(4): p.1156--1172, 1991.
[1221] Dunster T. M., Lutz D.A., Sch?afke R. Convergent Liouville´Green expansions for
second´order linear differential equations, with an application to Bessel functions
// Proc. Roy. Soc. London Ser. A, 440(1908): p. 37--54, 1993.
[1222] Durand M., Iftimie V. Comparaison des semi´groupes associes a des operateurs de
Schroedinger dans un champ magnetique. (Comparison of semigroups associated
with Schroedinger operators in a magnetic field) // (French) Commun. Partial
Differ. Equations 23, No. 3´4, p. 685´700 (1998).
[1223] Dziubanski J., Zienkiewicz J. Hardy spaces associated with some Schroedinger
operators // Stud. Math. 126, No. 2, p. 149´160 (1997).
[1224] Ebel D., Shen M. C. On the linear stability of a toroidal plasma with resistivity
viscosity and Hall current // J. Math. Anal. Appl. 125 (1987), no. 1, p. 81--103.
[1225] Eberhard B., Greiner G. Baillon's theorem on maximal regularity // Acta Appl.
Math. 27 (1´2).´ 1992 .´ p. 47´54.
[1226] Eckert R. Einige Aspekte semilinearer Anfangswertprobleme erster Ordnung mit
infinitesimalen Generatoren von C 0 ´Halbgruppen in Banach´Raeumen. (Some
aspects of first order semilinear initial value problems having infinitesimal gen´
erators of C 0 ´semigroups in Banach spaces) // Dresden: Univ. Dresden, Abt.
Math. iii, 109 S., Anhang 73 S. (1992).
[1227] Edrei A., Saff E.B., Varga R.S. Zeros of section of power series.´ 1983.´ 115p.
(Lect.Notes on Math. 1002).
[1228] Edwards B.H. The numerical solution of elliptic partial differential equations by
the method of lines // Revista Colom. De Matem.´ 1985, 19, N 3´4.´ p. 297 ´ 312.
[1229] El Jai A., Amourox M. Sensors and observers on distributes parameter systems
// Int. J. Control.´ 1988, 47, N 1.´ p. 333´347.

102 ################# #########
[1230] El´Fiky A. On well´posedness of the Cauchy problem for p´parabolic systems //
J. Math. Kyoto Univ. 27, (1987), no. 3, p. 569--586.
[1231] El´Mennaoui O. Holomorphic continuations of C 0 ´groups on Banach spaces //
Semigroup Forum 49, No.1, p. 89´97 (1994).
[1232] El´Mennaoui O. Traces de semi´groupes holomorphes singuliers ' l'origine et com´
portement asymptotique // Thise, Besanson, 1992.
[1233] El´Mennaoui O., Engel K.J. On the characterization of eventually norm contin´
uous semigroups in Hilbert spaces // Arch. Math. (Basel), 63(5): p.437--440,
1994.
[1234] El´Mennaoui O., Engel K.J. Towards a characterization of eventually norm con´
tinuous semigroups on Banach spaces // Quaest. Math. 19, No.1´2, p. 183´190
(1996).
[1235] El´Mennaoui O., Keyantuo V. On the Schroedinger equation in L p spaces //
Math. Ann. 304, 1996, No.2, p. 293´302.
[1236] El´Mennaoni O., Keyantuo V. Trace theorems for holomorphic semigroups and
the second order Cauchy problems // Proc. Amer. Math. Soc., 1996, 124, N 5,
p. 1445´1458.
[1237] El´Sayed A.M.A. Initial value problem of higher order integro´differential equa´
tions. // Kyungpook´Math.´J. 30 (1990), no. 1, p. 55--58.
[1238] Elaydi S.N., Graef J.R., Ladas G., Peterson A.C., editors. Proceedings of the
First International Conference on Difference Equations. Gordon and Breach Pub´
lishers, Luxembourg, 1995. Held at Trinity University, San Antonio, TX, May
25--28, 1994.
[1239] Elaydi S., Gy?ori I., Ladas G., editors. Advances in difference equations, Amster´
dam, 1997. Gordon and Breach Science Publishers.
[1240] L. Eld'en. Approximations for a Cauchy problem for the heat equation. In Theory
and applications of inverse problems (Helsinki, 1985), p. 8--15. Longman Sci.
Tech., Harlow, 1988.
[1241] Elden L. Approximations for a Cauchy problem for the heat equation // Inverse
problems.´ 1987, 3. ´ p. 263 ´ 273.
[1242] Elden L. Hyperbolic approximations for a Cauchy problem for the heat equation
// Inverse Probl.´ 1988, 4, N 1.´ p. 59´70.

################# ######### 103
[1243] Eliasson L.H. Reducibility and point spectrum for linear quasi´periodic skew´
products // Doc. Math., J. DMV Extra Vol. ICM II, p. 779´787 (1998).
[1244] Emamirad H. Hypercyclicite du semi´groupe de transport et le theoreme de rep´
resentation de Lax et Phillips. (Hypercyclicity of the transport semigroup and the
Lax and Phillips representation theorem) // (French. Abridged English version)
C. R. Acad. Sci., Paris, Ser. I, Math. 325, No. 2, p. 157´162 (1997).
[1245] Emamirad H. Hypercyclicity in the scattering theory for linear transport equa´
tion // Trans. Am. Math. Soc. 350, No.9, p. 3707´3716 (1998).
[1246] Emel'yanova E.V., Vasil'ev V. The coercive solvability of abstract parabolic equa´
tions in Banach spaces // Clement, Philippe (ed.) et al., Evolution equations,
control theory, and biomathematics. 3rd international workshop´conference, held
at the Han´sur´Lesse Conference Center of the Belgian Ministry of Education.
Proceedings. Basel: Dekker, Lect. Notes Pure Appl. Math. 155, p. 167´171 (1993).
[1247] Engel K.J. A spectral mapping theorem for polynomial operator matrices //
Differential Integral Equations, 2(2): p.203--215, 1989.
[1248] Engel K.J. An application of polynomial operator matrices to a second order
Cauchy problem // Differential equations with applications in biology, physics,
and engineering, Proc. Int. Conf., Leibnitz/Austria, Lect. Notes Pure Appl.
Math. 133, p. 115´120 (1991).
[1249] Engel K´J. Growth estimates for semigroups generated by 2 x 2 operator matrices
// Result. Math.´ 20, No.1/2, p. 444´453 (1991).
[1250] Engel K.J. On dissipative wave equations in Hilbert space // J. Math. Anal.
Appl. 184, No.2, p. 302´316 (1994).
[1251] Engel K.J. On perturbations of linear m´accretive operators on reflexive Banach
spaces // Monatsh. Math., 119(4): p.259--265, 1995.
[1252] Engel K.J. On singular perturbations of second order Cauchy problems // Pacific
J. Math., 152(1): p.79--91, 1992.
[1253] Engel K.J. On the characterization of admissible control´ and observation oper´
ators // Systems Control Lett., 34(4): p.225--227, 1998.
[1254] Engel K.J. On the diagonalization of certain operator matrices related to Volterra
equations // In Differential equations in Banach spaces (Bologna, 1991), p. 59--
64. Dekker, New York, 1993.

104 ################# #########
[1255] Engel K.J. Operator matrices and systems of evolution equations //
S?urikaisekikenky?usho K?oky?uroku, (966): p.61--80, 1996. Nonlinear evolution
equations and their applications (Japanese) (Kyoto, 1995).
[1256] Engel K.J. Operator Matrices and Systems of evolution equations. 1999.
[1257] Engel K.J. Polynomial operator matrices as generators: the general case // In´
tegral Equations Operator Theory, 13(2): p.175--192, 1990.
[1258] Engel K.J. Polynomial operator matrices as semigroup generators: the 2 \Theta 2 case
// Math. Ann., 284(4): p.563--576, 1989.
[1259] Engel K.J. Positivity and stability for one´sided coupled operator matrices //
Positivity, 1(2): p.103--124, 1997.
[1260] Engel K.J. Spectral theory and generator property for one´sided coupled operator
matrices // Semigroup Forum, 58(2): p.267--295, 1999.
[1261] Engel K.J. Systems of evolution equations // Confer. Sem. Mat. Univ. Bari,
(258´260): p.61--109, 1994. Swabian´Apulian Meeting on Operator Semigroups
and Evolution Equations (Italian) (Ruvo di Puglia, 1994).
[1262] Engel K.J., Nagel R. Cauchy problems for polynomial operator matrices on ab´
stract energy spaces // Forum´Math. 2 (1990), no. 1, p. 89--102.
[1263] Engel K.J., Nagel R. On the spectrum of certain systems of linear evolution
equation // Lect. Notes Math.´ 1986.´ 1223.´ p. 102´109.
[1264] Engel Klaus´Jochen and Nagel Rainer. One´parameter semigroups for linear
evolution equations. Springer´Verlag, New York, 2000. With contributions by S.
Brendle, M. Campiti, T. Hahn, G. Metafune, G. Nickel, D. Pallara, C. Perazzoli,
A. Rhandi, S. Romanelli and R. Schnaubelt.
[1265] Engl H.W., Neubauer A. A parameter choice strategy for (interated) Tikhonov
regularization of ill´posed problems leading to superconvergence with optimal
rates. // Appl. Anal. ´ 1988, 27, N1´3 ´ p.5´18.
[1266] Engler H., Neubrander F., Sandefur J. Strongly damped semilinear second order
equations // Collection: Nonlinear semigroups, partial differential equations and
attractors (Washington, D.C., 1985).´ p. 52--62. Lecture Notes in Math., 1248,
Springer, Berlin´New York, 1987.
[1267] Ergens T., Karas?ozen B., Piskarev S. Approximation for semilinear Cauchy prob´
lems involving second order equations in separable Banach spaces // Nonlin.
Anal., 1997, 28 (7), p. 1157´1165.

################# ######### 105
[1268] Eriksson K., Johnson C., Larsson S. Adaptive finite element methods for
parabolic problems. VI . Analytic semigroups // SIAM J. Numer. Anal., 35(4):
p.1315--1325 (electronic), 1998.
[1269] Eriksson K., Jonson C., Thomie V. Discretization of parabolic problems by the
discontinuous Galerkin method // Mzan. Model. Math. et Anal. Numer.´ 1985,
19, N 14.´ p.611 ´ 643.
[1270] Eriksson K., Thomie V. Galerkin methods for singular boundary value in one
space dimension // Math. of Comp.´ 1984, 42, N 166.´ p. 345 ´ 367.
[1271] Erill T.L., Zachary W.W. (Ed.) Nonlinear semigroups, partial differential equa´
tions and attractors. Proc. of a symposium held on Washington. ´1987.´ 185 p.
(Lecture Notes Math. N 1248).
[1272] Esham B.F.Yr. A symptotic and an asymptotic Gaberkin method for hyperbolic´
parabolic singular perturbation problems // SIAM J. Math. ´ 1987, 18, N3 ´
p.762´776.
[1273] Estep D., Larsson S. The discontinuous Galerkin method for semilinear parabolic
problems // RAIRO Mod'el. Math. Anal. Num'er., 27(1): p.35´54, 1993.
[1274] Esterle J. Uniqueness, strong forms of uniqueness and negative powers of contrac´
tions // Zemanek J. (ed.), Functional analysis and operator theory. Proceedings
of the 39th semester at the Stefan Banach International Mathematical Center
in Warsaw, Poland, held March 2´May 30, 1992. Warsaw: Polish Academy of
Sciences, Banach Cent. Publ. 30, p. 127´145 (1994).
[1275] Esterle J., Strouse E., Zouakia F. Stabilite asymptotique de certains semi´groupes
d'operateurs et ideaux primaires de L 1 (IR + ). (Asymptotic stability of certain
semigroups of operators and prime ideals in L 1 (IR + )) // (French) J. Oper. Theory
28, No.2, p. 203´227 (1992).
[1276] Ethier S. N., Kurtz Th. G. Markov processes. Characterization and convergence.
Wiley Series in Probability and Mathematical Statistics: Probability and Math´
ematical Statistics. John Wiley & Sons, Inc., New York, 1986.
[1277] Evans D.E., Hanche´Olsen H. The generatores of positive semigroups // J. Func.
Anal.´ 1979.´ 32, 2.´ p. 207´212.
[1278] Evans D.J., Margaritis K. Systolic computation of the matrix exponential and
other matrix functions // Intern. J. Comput. Math.´ 1988, 25, N 3´4.´ p. 345´358.

106 ################# #########
[1279] Evans L.C. Nonlinear semigroup theory and viscosity solutions of Hamilton´
Jacobi PDE // Collection: Nonlinear semigroups, partial differential equations
and attractors (Washington, D.C., 1985), p. 63--77 Lecture Notes in Math., 1248,
Springer, Berlin´New York, 1987.
[1280] Fairweather G. On the asymptotic expansion of the discretization error of cartain
discrete´time Galerkin methods for parabolic problems // Numer. Funct. Anal.
and Optimiz.´ 1985´86, 8, N 5´6,´ p. 447 ´ 471.
[1281] Fang Y.´J. A saturation property concerning a general probabilistic representa´
tion of operator semigroups // J. Approx. Theory, 57(3): p.293--299, 1989.
[1282] Fattorini H.O. A note of franctional derivatives of semigroups and cosine func´
tions // Pacif. J. Math.´ 1983.´ 109, 2.´ p. 335´347.
[1283] Fattorini H. O. Infinite´dimensional optimization and control theory. Cambridge
University Press, Cambridge, 1999.
[1284] Fattorini H. O. On the angle of dissipativity of ordinary and partial differential
operators // In Functional analysis, holomorphy and approximation theory, II
(Rio de Janeiro, 1981), p. 85--111. North´Holland, Amsterdam, 1984.
[1285] Fattorini H.O. On the growth of solutions to second order differential equations
in Banach spaces // Proc. Roy. Soc. Edinburgh.´ 1985.´ 101A, 3´4.´ p. 237´252.
[1286] Fattorini H.O. Ordinary differential equations in linear topological spaces, I //
J. Different. Equat.´ 1969.´ 5, 1.´ p. 72´105.
[1287] Fattorini H.O. Ordinary differential equations in linear topological spaces, II //
J. Different. Equat.´ 1969.´ 6.´ p. 50´70.
[1288] Fattorini H.O. Rates of convergence for suboptimal controls // Proc. 26th. p.
1002´1004.
[1289] Fattorini H.O. Second order linear differential equations in Banach spaces. North
Holland. Amsterdam.´ 1985. 314 p.
[1290] Fattorini H.O. Singular perturbation and boundary layer for an abstract Cauchy
problem. // J. Math. Anal. and Appl. ´ 1983,97 ´ p.529´571.
[1291] Fattorini H.O. Some remarks on second order abstract Cauchy problems //
Funkc. Ekvac.´ 1981.´ 24, 3.´ p. 331´344.
[1292] Fattorini H.O. The Cauchy problem // Reading mass. e. a.: Addison Wesley.´
1983.´ XXIV.´ 636 p.

################# ######### 107
[1293] Fattorini H.O. The hyperbolic singular perturbation problem: an operator the´
oretic approach // J. Differential Equations 70 (1987), no. 1, p.1--41.
[1294] Fattorini H.O. The underdetermined Cauchy problem in Banach spaces // Math.
Ann. ´ 1973.´ 200.´ p. 103´112.
[1295] Fattorini H.O. Two approximation results for the parabolic singular perturbation
problem // Portug. Math.´ 1985´86, vol.43, N 3.´ p. 331 ´ 346.
[1296] Fattorini H.O. Two points boundary value problems for operational differential
equations // Annali Scuola Normale Superiore, 1974, Ser IV , Vol.I, n.1´2, p.
63´79.
[1297] Fattorini H.O. Uniformly bounded cosine functions in Hilbert spaces // Indiana
Univ. Math. J.´ 1970.´ 20.´ p. 411´425.
[1298] Fattorini H.O. Infinite´dimensional optimization and control theory. Cambridge
University Press, Cambridge, 1999.
[1299] Fattorini H.O., Radnitz A. The Cauchy problem with incomplete initial data in
Banach spaces // Michigan Math. J.´ 1971.´ 18.´ p. 291´320.
[1300] Faulkner G.D., Shonkwiller R.W. Cosine representations of abelian *´semigroups
and generalised cosine operator functions // Can. J. Math.´ 1978.´ 30.´ p. 474´
482.
[1301] Favini A. Abstract singular equations and applications // J. Math. Anal. Appl.,
116(1): p.289--308, 1986.
[1302] Favini A. An operational method for abstract degenerate evolution equations of
hyperbolic type // J. of Funct. Anal. ´ 1988, 76, N 2.´ p. 432´456.
[1303] Favini A. Implicit integrodifferential equations // In Volterra integrodifferential
equations in Banach spaces and applications (Trento, 1987), p. 141--156. Long´
man Sci. Tech., Harlow, 1989.
[1304] Favini A. Parabolicity of second order differential equations in Hilbert space //
Semigroup´Forum, (1991), no. 3, p. 303--312.
[1305] Favini A. Second order parabolic equations in Banach space // In Differential
equations with applications in biology, physics, and engineering (Leibnitz, 1989),
p. 129--137. Dekker, New York, 1991.

108 ################# #########
[1306] Favini A. Sum of operators' method in abstract equations // In Partial differen´
tial equations and functional analysis, p. 132--146. Birkh?auser Boston, Boston,
MA, 1996.
[1307] Favini A., Fuhrman M. Approximation results for semigroups generated by multi´
valued linear operators and applications // Differential Integral Equations, 11(5):
p.781--805, 1998.
[1308] Favini A., Goldstein G.R., Goldstein J.A. and Romanelli S. C 0 ´semigroups gen´
erated by second order differential operators with general Wentzell boundary
conditions. Proc. Amer. Math. Soc., 128(7):1981--1989, 2000.
[1309] Fedorov V.E. Infinitely differentiable semigroups of operators with kernels.
Sibirsk. Mat. Zh., 40(6), p. 1409--1421, iv, 1999.
[1310] Fedorov V.E. Polugruppy i gruppy operatorov s yadrami. Chelyabinsk. Gos.
Univ., Chelyabinsk, 1998.
[1311] Favini A., Goldstein J., Romanelli S. An analytic semigroup associated to a
degenerate evolution equation // In Stochastic processes and functional analysis
(Riverside, CA, 1994), p.85--100. Dekker, New York, 1997.
[1312] Favini A., Goldstein J., Romanelli S. Analytic semigroups on L p
w (0; 1) and on
L p (0; 1) generated by some classes of second order differential operators // Tai´
wanese J. Math., 3(2): p.181--210, 1999.
[1313] Favini A., Lasiecka I. Second order abstract equations with nonlinear boundary
conditions: applications to a von K'arm'an system with boundary damping // In
Differential equations in Banach spaces (Bologna, 1991), p. 65--83. Dekker, New
York, 1993.
[1314] Favini A., Lasiecka I. Wellposedness and regularity of second order abstract equa´
tions arising in hyperbolic´like problems with nonlinear boundary conditions //
Osaka J. Math., 32 (1995), pp. 721´752.
[1315] Favini A., Lasiecka I., Tanabe T. Abstract differential equations and nonlinear
dispersive systems // Differential Integral Equations, 6(5): p.995--1008, 1993.
[1316] Favini A., Obrecht E. Conditions for parabolicity of second order abstract dif´
ferential equations // Differential Integral Equations, 4(5): p.1005--1022, 1991.
[1317] Favini A., Obrecht E.(Ed.) Differential equations in Banach spaces.´ Proceedings
of a Conference held Bologna.´ 1986.´ 299 p. (Lect. Notes Math. 1223).

################# ######### 109
[1318] Favini A., Pandolfi L., Tanabe H. Singular differential equations with delay //
Differential Integral Equations, 12(3): p.351--371, 1999.
[1319] Favini A., Plazzi P. On some abstract degenerate problems of parabolic type.´ 1.
The linear case// Nonlinear analysis, Theory, Meth. & Appl.´ 1988, 12, N 10.´
p. 1017´1027.
[1320] Favini A., Plazzi P. On some abstract degenerate problems of parabolic type. I
I. The nonlinear case // Nonlinear Anal., 13(1): p.23--31, 1989.
[1321] Favini A., Plazzi P. On some abstract degenerate problems of parabolic type´3:
applications to linear and nonlinear problems // Osaka J. Math., 27(2): p.323--
359, 1990.
[1322] Favini A., Plazzi P. Some results concerning the abstract degenerate nonlinear
equation D t Mu(t) + Lu(t) = f(t; KU(t)) // Circuits Systems Signal Process.,
5(2): p.261--274, 1986.
[1323] Favini A., Romanelli S. Analytic semigroups on C[0; 1] generated by some classes
of second order differential operators // Semigroup Forum 56, No.3, p. 362´372
(1998).
[1324] Favini A., Romanelli S. Degenerate second order operators as generators of ana´
lytic semigroups on C[j0; 1]j or on L p
ff \Gamma12 (0; 1) // Stancu, Dimitrie D. (ed.) et
al., Approximation and optimization. Proceedings of ICAOR: Iternational confer´
ence, Cluj´Napoca, Romania, July 29 ´ August 1, 1996. Volume II. Cluj´Napoca:
Transilvania Press, p. 93´100 (1997).
[1325] Favini A., Rutkas A. Existence and uniqueness of solutions of some abstract
degenerate nonlinear equations // Differential Integral Equations, 12(3): p.373--
394, 1999.
[1326] Favini A., Tanabe H. Linear parabolic differential equations of higher order in
time // In Differential equations in Banach spaces (Bologna, 1991), p. 85--92.
Dekker, New York, 1993.
[1327] Favini A., Tanabe H. On regularity of solutions to n´order differential equations
of parabolic type in Banach spaces // Osaka J. Math., 31(2): p.225--246, 1994.
[1328] Favini A., Triggiani R. Analytic and Gevrey class semigroups generated by \GammaA +
iB, and applications // In Differential equations in Banach spaces (Bologna,
1991), p. 93--114. Dekker, New York, 1993.

110 ################# #########
[1329] Favini A., Triggiani R. New classes of analytic and Gevrey semigroups, and
applications // Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei
(9) Mat. Appl., 4(1): p.29--34, 1993.
[1330] Favini A., Venni A. On the Cauchy problem for a second order semilinear
parabolic equation with factored linear part // Semigroup Forum, 45(2): p.135--
147, 1992.
[1331] Favini A., Yagi A. Abstract second order differential equations with applications
// Funkcialaj Ekvacioy. 1995. V.38. p. 81´99.
[1332] Favini A., Yagi A. Degenerate differential equations in Banach spaces // Marcel
Dekker Inc., New York, 1999.
[1333] Favini A., Yagi A. Multivalued linear operators and degenerate evolution prob´
lems // Annali Math. Pura Appl. 1993. V.163, N 4. p. 353´384.
[1334] Favini A., Yagi A. On second order implicit differential equations in Banach
spaces // In Evolution equations, control theory, and biomathematics (Han sur
Lesse, 1991), p.205--213. Dekker, New York, 1994.
[1335] Favini A., Yagi A. Space and time regularity for degenerate evolution equations
// J. Math. Soc. Japan, 44(2): p.331--350, 1992.
[1336] Fendler G. Dilations of one parameter semigroups of positive contractions on L p
spaces // Can. J. Math. 49, No.4, p. 736´748 (1997).
[1337] Feng D. New progress on operator semigroups and linear systems in abstract
spaces // Li B. (ed.) et al., Functional analysis in China. Dordrecht: Kluwer
Academic Publishers. Math. Appl., Dordr. 356, p. 35´52 (1996).
[1338] Ferreira J.A., Grigorieff R.D. On the supraconvergence of elliptic finite difference
schemes // Appl. Numer. Math., 28(2´4): p.275--292, 1998. Eighth Conference
on the Numerical Treatment of Differential Equations (Alexisbad, 1997).
[1339] Filipescu A., B?abescu Gh. Some general properties of the solutions of the co´
sine functional equations // Bul. Stiint. Tehn. Inst. Politehn. ``Traian Vuia''
Timisoara, 23(37)(2): p.83--87 (1979), 1978.
[1340] Fischer A.E. The internal symmetry group of a connection on a principal fiber
bundle with applications to gauge field theories // Comm. Math. Phys. 113
(1987), no. 2, p. 231--262.

################# ######### 111
[1341] Fischer H.D., Graf A. A(ff)´stabilitat and Wurzelorte // Regelungstechnik.´ 1984,
32, N 4.´ p. 136 ´ 137.
[1342] Fitzgibbon W.E. Limiting behavior of the strongly damped extensible beam
equation // Differential Integral Equations, 3 (1990), no. 6, p. 1067--1076.
[1343] Fitzgibbon W.E., Parrott M.E., Webb G.F. Diffusive epidemic models with spa´
tial and age dependent heterogeneity // Discrete Contin. Dyn. Syst. 1, No.1, p.
35´57 (1995).
[1344] Fitzpatrick B. G. Modeling and estimation problems for structured heterogeneous
populations // J. Math. Anal. Appl. 172, No.1, p. 73´91 (1993).
[1345] Fragela A. K. Perturbation of a polyharmonic operator with delta´like potentials.
// Mat. Sb. (N.S.) 130(172) (1986), no. 3, p. 386--393, p. 431--432.
[1346] Frank R., Hertling J., Lehrner H. B´convergence properties of defect correction
methods I // Numer. Math.´ 1986, 49, N 2´3.´ p. 139 ´ 162.
[1347] Frankowska H. Local controllability and infinitesimal generators of semigroups
of set´valued maps. // SIAM´J. Control´Optim. 25 (1987), no. 2, p. 412--432.
[1348] Freedman M.A. A random walk for the solution sought: remarks on the difference
scheme approach to nonlinear semigroups and evolution operators // Semigroup´
Forum. 36 (1987), no. 1, p. 117--126.
[1349] Friedman A., Lacey A. The blow´up time for solutions of nonlinear heat equations
with small diffusion // SIAM J. Math. Anal. ´ 1987, N3 ´ p. 711´721.
[1350] Friedman A., Oswald L. The blow´up time for higher order semilinear parabolic
eqution with small leading coefficients // J. Differ. Equat.´ 1988.´ 75, N2.´ c.
239´263.
[1351] Froehch J., Marsalli M. Operator semigroups, flows, and their invariant sets //
J. Funct. Anal. 115, No.2, p. 454´479 (1993).
[1352] Fu R., Teruo U. Finite element analysis of free vibration of liquid´filled axisym´
metric tanks // Acta Math. Appl. Sinica (English Ser.), 12(1): p.50--58, 1996.
[1353] Fuhrmann D.R. An algorithm for subspace computation with applications in
signalprocessing // SIAM J. Matrix Anal. Appl.´ 1988, 9, N 2.´ p. 213 ´ 220.
[1354] Fuhrman M. Hypercontractivity of some nonsymmetric semigroups // Ann.
Univ. Ferrara, Nuova Ser., Sez. VII 41, Suppl., p. 189´197 (1996).

112 ################# #########
[1355] Funaro D. A precondifioning matrix for the Chebyshev differencing operator //
SIAM J. Numer. Anal.´ 1987, 24, N 5. ´ p. 1024´1031.
[1356] Furuya K., Yagi A. Linearized stability for abstract quasilinear evolution equa´
tions of parabolic type // Funkcial. Ekvac., 37(3): p.483--504, 1994.
[1357] Furuya K., Yagi A. Linearized stability for abstract quasilinear evolution equa´
tions of parabolic type. I I. Time nonhomogeneous case // Adv. Math. Sci. Appl.,
3(Special Issue): p.285--300, 1993/94.
[1358] Furuya K., Yagi A. Linearised stability for abstract quasilinear evolution equa´
tions of parabolic type. II. Time nonhomogeneous case // S?urikaisekikenky?usho
K?oky?uroku, (898): p.74--93, 1995. Nonlinear evolution equations and their appli´
cations (Japanese) (Kyoto, 1993).
[1359] Galakhov E.I.; Skubachevskij, A.L. On non´negative contractive semigroups with
non´local conditions // (English. Russian original) Sb. Math. 189, No.1, 45´78;
translation form Mat. Sb. 189, No.1, p. 43´74 (1998) (1998).
[1360] Gao M.´C. Mild C´well´posedness of the complete second´order abstract Cauchy
problem // Nanjing Daxue Xuebao Ziran Kexue Ban, 33(2): p.186--192, 1997.
[1361] Gao Mingchu. Local C´semigroups and local C´cosine functions. Acta Math. Sci.
(English Ed.), 19(2):201--213, 1999.
[1362] Garc'ia´Cuerva Jos'e, Mauceri Giancarlo, Sj?ogren Peter, and Torrea Jos'e Luis.
Spectral multipliers for the Ornstein´Uhlenbeck semigroup. J. Anal. Math.,
78:281--305, 1999.
[1363] Gavrilyuk Ivan P., Makarov Vladimir L. Explicit and approximate solutions of
second´order evolution differential equations in Hilbert space. Numer. Methods
Partial Differential Equations, 15(1):111--131, 1999.
[1364] Gessinger A. Connections between the approximation and ergodic behaviour of
cosine operators and semigroupes // Proceedings of the 3rd international conf.
on func. analysis and approximation theory, Accuafredda di Maratea (Potenza),
Italy September 23´28, 1996, Vols. I and II. Palermo: Circolo Matematico di
Palermo, Suppl. Rend. Circ Mat. Palermo, II. Ser. 52, 1998.´ p. 475´489.
[1365] Gesztesy P., Holden H., Simon B., Zhao Z. A trace formula for multidimensional
Schroedinger operators // J. Funct. Anal. 141, No.2, p. 449´465, Art. No.0137
(1996).

################# ######### 113
[1366] Gianazza U., Vespri V. Analytic semigroups generated by square Hoermander
operators // Rend. 1st. Mat. Univ. Trieste 28, Suppl, p. 201´220 (1996).
[1367] Gianazza U., Vespri V. Generation of analytic semigroups by degenerate elliptic
operators // Nonlinear Differ. Equ. Appl. 4, No.3, p. 305´324 (1997).
[1368] Giga Y. Analyticity of the semigroup generated by the Stokes operator in L r
spaces // Math. Z., 178(3): p.297--329, 1981.
[1369] Gil M. I. Conditions for the uniform well´posedness of the Cauchy problem for
an equation with a variable operator in a Hilbert space // Sibirsk. Mat. Zh. 28
(1987), no. 2, p. 50--54, 223.
[1370] Giusti E. Funzioni coseno periodische // Boll. Union. Mat. Ital.´ 1967.´ 22.´ p.
478´485.
[1371] Glowacki P., Hulanicki A. A semigroup of probability measures with nonsmooth
differentiable densities on a Lie group // Colloq. Math. 51 (1987), 131--139.
[1372] Gogodze I.K., Gelashvili K.N. Representation of # 0 ´semigroups of operators by
a chronological integral // Mem. Differ. Equ. Math. Phys. 11, p. 47´66 (1997).
[1373] Gomilko A.M. On conditions for the generating operator of a uniformly bounded
C 0 ´semigroup of operators. Funktsional. Anal. i Prilozhen., 33(4):66--69, 1999.
[1374] Goldberg S., Smith C. Strongly continuous semigroups of semi´fredholm opera´
tors // J. Math. Anal. & Appl.´ 1987.´ 64.´ p. 407´420.
[1375] Goldstein G.R., Goldstein J. Regularity and decay for nonlinear parabolic bound´
ary problems // In Evolution equations, control theory, and biomathematics
(Han sur Lesse, 1991), p.225--233. Dekker, New York, 1994.
[1376] Goldstein G.R., Goldstein J. Regularity for semilinear abstract Cauchy problems
// In Theory and applications of nonlinear operators of accretive and monotone
type, p.99--105. Dekker, New York, 1996.
[1377] Goldstein G.R., Goldstein J. Smoothing for nonlinear parabolic equations with
nonlinear boundary conditions // J. Math. Anal. Appl., 213(2): p.422--443, 1997.
[1378] Goldstein G.R., Goldstein J., Obrecht E. Structure of solutions to linear evolution
equations: extensions of d'Alembert's formula // J. Math. Anal. Appl., 201(2):
p.461--477, 1996.
[1379] Goldstein G.R., Goldstein J., Obrecht E. The asymptotics of inhomogeneous
factored Cauchy problems // Asymptot. Anal., 19(3´4): p.233--252, 1999.

114 ################# #########
[1380] Goldstein G.R., Goldstein J., Oharu S. The Favard class for a nonlinear parabolic
problem // In Recent developments in evolution equations (Glasgow, 1994),
p.134--147. Longman Sci. Tech., Harlow, 1995.
[1381] Goldstein G.R., Goldstein J., Romanelli S. A new approach to the analyticity
of some classes of one´parameter semigroups in weighted´L p spaces // J. Math.
Anal. Appl., 226(2): p.393--413, 1998.
[1382] Goldstein J.A. A semigroups theoretic proof of the law of large num´ bers //
Semigroup Forum.´ 1977.´ 15.´ p. 89´90.
[1383] Goldstein J.A. A survey of semigroups of linear operators and applications //
Goldstein, Gisele Ruiz (ed.) et al., Semigroups of linear and nonlinear operations
and applications. Proceedings of the Curacao conference, Netherlands Antilles,
August 1992. Dordrecht: Kluwer Academic Publishers. p. 9´57 (1993).
[1384] Goldstein J.A. An asimptotic property of solutions of wave equations // Proc.
Amer. Math. Soc.´ 1969.´ 23.´ p. 359´363.
[1385] Goldstein J. Applications of operator semigroups to Fourier analysis // Semi´
group Forum, 52(1): p.37--47, 1996. Dedicated to the memory of Alfred
Hoblitzelle Clifford (New Orleans, LA, 1994).
[1386] Goldstein J.A. Asymptotic for bounded semigroups on Hilbert space // Asp.
Positiv. Funct. Anal. Proc. Conf., Tubingen, 24´28 June, 1985, Amsterdam e.a.´
1986.´ p. 49´62.
[1387] Goldstein J.A. Convexity, boundness and almost periodicify for differential equa´
tions in Hilbert spaces // Inter. J. Math. Sci.´ 1979.´ 2.´ p. 1´13.
[1388] Goldstein J.A. Cosine functions and the Feynman´Kac formula // Quart. J.
Math.´ 1982.´ 33, 131.´ p. 303´307.
[1389] Goldstein J.A. Extremal properties of contraction semigroups on Hilbert and
Banach spaces // Bull. Lond. Math. Soc. 25, No.4, p. 369´376 (1993).
[1390] Goldstein J.A. Functional analytic and other methods in partial differential equa´
tions // Collection: Oakland conference on partial differential equations and ap´
plied mathematics (Rochester, Mich., 1986), p. 95--108 Pitman Res. Notes Math.
Ser., 154, Longman Sci. Tech., Harlow, 1987.
[1391] Goldstein J. Nonlinear semigroups and applications to degenerate parabolic par´
tial differential equations // In Analysis and geometry 1989 (Taej?on, 1989), p.1--
40. Korea Inst. Tech., Taej?on, 1989.

################# ######### 115
[1392] Goldstein J.A. On the connection between first and second order differential
equations in Banach spaces // J. Math. Anal. & Appl.´ 1970.´ 30, 2.´ p. 246´251.
[1393] Goldstein J.A. Semigroups and hyperbolic equations // J. Funct. Anal. 1969.´
4.´ p. 50´70.
[1394] Goldstein J.A. Semigroups of linear operators and applications // Oxford Univ.
Press, New York.´ 1985.´ 245 c.
[1395] Goldstein J.A. Some developments in semigroups of operators since Hille´Phillips
// Integr. Equat. Oper. Theory.´ 1981.´ 4, 3.´ p. 350´365.
[1396] Goldstein J. The KdV equation via semigroups // In Theory and applications
of nonlinear operators of accretive and monotone type, p.107--114. Dekker, New
York, 1996.
[1397] Goldstein J.A. The Kompaneets equation // In Differential equations in Banach
spaces (Bologna, 1991), p. 115--123. Dekker, New York, 1993.
[1398] Goldstein J.A. The universal addability problem for generators of cosine functions
and operator groups // Houston J. Math.´ 1980.´ 6, 3.´ p. 365´373.
[1399] Goldstein J.A. Variable domain second order evolution equations // Appl. Anal.´
1976.´ 5, 4.´ p. 283´291.
[1400] Goldstein J., DeLaubenfels R., Sandefur J.T. Regularized semigroups, iterated
Cauchy problems and equipartition of energy // Monatsh. Math., 115(1´2): p.47--
66, 1993.
[1401] Goldstein J., Lin C.´Y. An L p approach to degenerate parabolic boundary value
problems // In Differential equations and applications, Vol. I, II (Columbus, OH,
1988), p.331--337. Ohio Univ. Press, Athens, OH, 1989.
[1402] Goldstein J., Lin C.´Y. An L p semigroup approach to degenerate parabolic
boundary value problems // Ann. Mat. Pura Appl. (4), 159: p.211--227, 1991.
[1403] Goldstein J.A., Lin C.´Y. Degenerate parabolic problems and the Wentzel bound´
ary condition // In Semigroup theory and applications (Trieste, 1987), p.189--
199. Dekker, New York, 1989.
[1404] Goldstein J., Lin C.´Y. Highly degenerate parabolic boundary value problems //
Differential Integral Equations, 2(2): p.216--227, 1989.

116 ################# #########
[1405] Goldstein J., Lin C.´Y. Parabolic problems with strong degeneracy at the spatial
boundary // In Semigroup theory and evolution equations (Delft, 1989), p.181--
191. Dekker, New York, 1991.
[1406] Goldstein J.A., Nagy B. An extremal property of contraction semigroups in Ba´
nach spaces // Illinois J. Math. 39, No.3, p. 441´449 (1995).
[1407] Goldstein J.A., Oharu S. A remark on nonlinear cosine functions // Semigroup
Forum, 34 (1987), no. 3, p. 359--366.
[1408] Goldstein J., Oharu S., Takahashi T. Semilinear Hille´Yosida theory // In
Volterra integrodifferential equations in Banach spaces and applications (Trento,
1987), p. 157--166. Longman Sci. Tech., Harlow, 1989.
[1409] Goldstein J., Oharu S., Takahashi T. Semilinear Hille´Yosida theory: the approx´
imation theorem and groups of operators // Nonlinear Anal., 13(3): p.325--339,
1989.
[1410] Goldstein J.A., Oharu S., Voigt A. Affine semigroups on Banach spaces // Hi´
roshima Math. J.´ 1988.´ 18, 2.´ p. 433´450.
[1411] Goldstein Ch., Partes S.V. On the nozm equivalence of singularly perturbed
elliptic difference operators //Appl. Math. and Comput.´ 1988.´ 26, N3.´ c. 179´
200.
[1412] Goldstein J.A., Radin C., Schowalter R.E. Convergence rates of ergodic limits
for semigroups and cosine functions // Semigroup Forum.´ 1978.´ 16.´ p. 89´95.
[1413] Goldstein J., Rieder G.R. Continuous dependence of ergodic limits // J. Multi´
variate Anal., 32(1): p.150--160, 1990.
[1414] Goldstein J.A., Sandefur J.T.Jr. An abstract d'Alembert formula // SIAM´J.
Math. Anal. 18 (1987), no. 3, p. 842--856.
[1415] Gong L., Wong Y.S., Lee B.H.K. Dynamics of a coupled system of Duffing's
equations // Dyn. Contin. Discrete Impulsive Syst. 4, No.1, p. 99´119 (1998).
[1416] Gonzalez M., Martinez´Abejon A. Lifting unconditionally converging series and
semigroups of operators // Bull. Aust. Math. Soc. 57, No.1, p. 135´146 (1998).
[1417] Gonzalez M., Onieva V. M. Characterizations of Tauberian operators and other
semigroups of operators // Proc. Amer. Math. Soc., 108(2): p.399--405, 1990.
[1418] Gonzales M., Onieva V.M. Lifting results for sequences in Banach spaces //
Math. Proc. Cambridge Phil. Soc.´ 1989.´ 105, N1.´c. 117´121.

################# ######### 117
[1419] Gonz'alez C., Palencia C. Stability of Runge´Kutta methods for abstract time´
dependent parabolic problems: the H?older case // Math. Comp., 68(225): p.73--
89, 1999.
[1420] Goodman J., Lax P.D. On dispersive difference schemes I // Comm. on Pure &
Apple. Math.´ 1988, 41, N 5.´ c. 591´613
[1421] Gorbachuk V.I., Knyazyuk A.V. Boundary values of solutions of operator´
differential equations. // Original: Uspekhi´Mat.´Nauk, 44 (1989), no. 3(267),
p. 55--91, 208 Translation: Russian´Math.´Surveys, 44 (1989), no. 3, p. 67--111.
[1422] Gorbachuk V.M. Behavior at infinity of solutions of operator´differential equa´
tions // Original: Dokl.´Akad.´Nauk´SSSR, 308 (1989), no. 1, p. 23--27 Transla´
tion: Soviet´Math.´Dokl. 40 (1990), no. 2, p. 282--285.
[1423] Gorlich E., Pontzen D. An approximation Theorem for semigroups of growth
order ff and an extension of the Trotter´Lie formula // J. Funtional Analysis 50
(1983), p. 414--425.
[1424] Gorlich E., Pontzen D. Convergence rates of (´stable difference methods // J.
Appr. Theory.´ 1984, 41, N 3.´ p. 291 ´ 296.
[1425] Grabm?uller H. A note on linear hyperbolic evolution equations // Roy. Soc.
Edinburgh. Proc.´ 1982.´ A87, 3´4.´ p. 317´331.
[1426] Grabm?uller H. Cosine families of unbounded operators // Appl. Anal.´ 1985.´
19.´ 1.´ p. 1´38.
[1427] Grabm?uller H. Cosinus´Familien unbeschrankter operatoren // ZAMM Angew.
Math. Mech.´ 1985.´ 65, 5.´ p. 338´340.
[1428] Grabosch A. A functional equation from cell kinetics // Differ. Integral Equ. 5,
No.2, p. 405´420 (1992).
[1429] Graboesh A., Nagel R. Oder structure of the semigroups dual: a counter example
//Kon. Ned. Akad. wetenseh.´ 1989.´ 92, N2. ´ p. 199´201.
[1430] Gradinaru N. On some n´parameter semigroup of linear operators // Bul. Inst.
Politehn. Iasi´Sect. I. 1985, p. 85--88.
[1431] Gradinaru N. On some N´parameter semigroups of linear operators // Bul. Inst.
Politechn. Iare.´ 1985.´ Cupl., /sec. I/.´ p. 85´88.
[1432] Graves´Morris P.R. Row convergens theorems for generalised inverse vector´ val´
ued Pad'e approximants // J.Comp. & Appl. Math.´1988, 23, N1.´ p. 63´85.

118 ################# #########
[1433] Graves´Morris P.R., Saff E.B., Varga R.S. Rational approximation and interpo´
lation // Proc. of United Kingdom.´ 1984.´ 528 p. (Lecture Notes Math.´ 1105).
[1434] Greiner G. Perturbing the boundary conditions of a generator // Houston J.
Math.´ 1987.´ 13, 2.´ p. 213´229.
[1435] Greiner G. Zur Perron´Frobenius theorie stark stetiger Halbgruppen // Math.
Z.´ 1981.´ 177.´ p. 401´423.
[1436] Greiner G., Voigt J., Wollff M.P.H. On the spectral bound of the generator of
semigroups of positive operators // J. Oper. Theory.´ 1981.´ 5.´ p. 245´256.
[1437] Greiner G. Perturbing the boundary conditions of a generator. // Houston´J.
Math. 13 (1987), no. 2, 213--229.
[1438] Grigorieff R.D., Diskrete approximation von Eigenwertproblemen I. Qualitative
convergence // Numer. Math. 24 (1975), N 4, p. 355´374.
[1439] Grigorieff R.D. Diskrete approximation von Eigenwertproblemen II. Konvergen´
zordung // Numer. Math. 24 (1975), N 5, p. 515´533.
[1440] Grigorieff R.D. Diskrete approximation von Eigenwertproblemen III. Asympto´
tischer wicklungen // Numer. Math. 25 (1975), N 1, p. 79´97.
[1441] Grigorieff R.D. Some stability inequalities for compact finite difference schemes
// Math. Nachr. 1988, 135. p. 93´101.
[1442] Grigorieff R. D. Time discretization of semigroups by the variable two´step BDF
method // In Numerical treatment of differential equations (Halle, 1989), p.204--
216. Teubner, Stuttgart, 1991.
[1443] Grimmer R.C., Kappel F. Series expansions for resolvents of Volterra integro´
differential equations in Banach space // SIAM J. Math. Anal., 15(3): p.595--604,
1984.
[1444] Grimmer R. C. , Pritchard A. J. Analytic resolvent operators for integral equa´
tions in Banach space // J. Differential Equations, 50(2): p.234--259, 1983.
[1445] Grimmer R., Pr?uss J. On linear Volterra equations in Banach spaces // Comp.
and Math. and Appl. ´ 1985 .´ 11 (1´3).´ p. 189´205.
[1446] Grimmer R., Sinestrari E. The extent of spatial regularity for parabolic integrod´
ifferential equations // Lect. Notes in Math., 1986, N 1223, p. 122 ´ 130.

################# ######### 119
[1447] Grindrod P., Rynne B.P. Time´periodic solutions tj semilinear parabolic equa´
tions // Proc. Royal Soc. Ediry 1986, 104A, pt. 3 ´ 4.´ p. 329 ´ 342.
[1448] Griniv R.O., Shkalikov A.A. Operator models in the theory of elasticity and in
hydrodynamics, and associated analytic semigroups. Vestnik Moskov. Univ. Ser.
I Mat. Mekh., 1999(5):5--14, 80.
[1449] Grosu C. The Trotter product formula in locally convex spaces. I. // Rev.
Roumaine Math. Pures Appl.´ 31.´ 1986, no. 1, p.29--42.
[1450] Guerre´Delabriere S. L p ´regularity of the Cauchy problem and the geometry of
Banach spaces // 111. J. Math. 39, No.4, p. 556´566 (1995).
[1451] Guidetti D. A maximal regularity result with applications to parabolic problems
with nonhomogeneous boundary conditions // Rend. Sem. Mat. Univ. Padova,
84: p.1--37 (1991), 1990.
[1452] Guidetti D. Abstract linear parabolic problems with nonhomogeneous boundary
conditions // In Semigroup theory and evolution equations (Delft, 1989), p.227--
242. Dekker, New York, 1991.
[1453] Guidetti D. Convergence to a stationary state and stability for solutions of quasi´
linear parabolic equations // Ann. Mat. Pura Appl. (4), 1988.´ vol.151.´ p.331´
358.
[1454] Guidetti D. Linear singular parabolic equations in Banach spaces // Math. Z.
195 (1987), no. 4, p.487--504.
[1455] Guidetti D. On certain semigroups of linear operators and generalized Cauchy
problem // Osaka J. Math., 26(1): p.89--118, 1989.
[1456] Guidetti D. On elliptic problems in Besov spaces // Math. Nachr., 152: p.247--
275, 1991.
[1457] Guidetti D. On certain semigroups of linear operators and generalized Cauchy
problem // Osaka J. Math., 26(1): p.89--118, 1989.
[1458] Guidetti D. Optimal regularity for mixed parabolic problems in spaces of func´
tions which are H?older continuous with respect to space variables // Ann. Scuola
Norm. Sup. Pisa Cl. Sci. (4), 26(4): p.763--790, 1998.
[1459] Guidetti D. Strongly continuous semigroups, weak solutions and the variation
of parameter formula in locally convex space // Boll.Union. Mat. Ital.´ 1985.´
C(6).´ 4(1).´ p.431´440.

120 ################# #########
[1460] Guidetti D. The parabolic mixed Cauchy´Dirichlet problem in spaces of functions
which are H?older continuous with respect to space variables // Atti Accad. Naz.
Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 7(3): p.161--168,
1996.
[1461] Guidetti D., Piskarev S. Stability of Rothe's scheme and maximal regularity for
parabolic equations in C `
(\Omega ) // In Progress in partial differential equations, Vol.
1 (Pont´`a´Mousson, 1997), p.167--180. Longman, Harlow, 1998.
[1462] Guidetti D. and Piskarev S. On maximal regularity of Crank´Nicholson schemes
for parabolic equations in C ` (\Omega\Gamma space. In Proccedings of International Confer´
ence ''Function spaces. Differential operators. Problems in mathematical educa´
tion, volume 2, pages 2231--2237. RUDN, Moscow, 1998.
[1463] Guidetti D., Piskarev S. Stability of the Crank´Nicolson scheme and maximal
regularity for parabolic equations in C ` (!) spaces // Numer. Funct. Anal. Op´
tim., 20(3´4): p. 251--277, 1999.
[1464] Guo Benyu. On stability and convergence of approximation to equations // Adv.
in Math.´ 1986, v.15, N 4.´ p. 347´ 360.
[1465] Guo B.´Z., Zhu G.´T. The properties of the C 0 ´semigroup T (t) generated by the
population operator // J. Systems´Sci. Math. Sci. 6 (1986), no. 3, p. 239--240.
[1466] Gustafson K. Doubling perturbation sizes and preservation of operator indices
in normed linear spaces // Proc. Comb. Phil. Soc.´ 1969, 66.´ p.281´294.
[1467] Gustavson K., Lumer G. Multiplicative pertubations of semigroup generators //
Pacif. J. Math.´ 1972.´ 41, 3.´ p. 731´742.
[1468] Gutman S. Regularizing properties of nonlinear semigroups. // Proc. Amer.
Math. Soc. 101 (1987), no. 1, p. 51--56.
[1469] Gutman S., Pazy A. An ergodic theorem for semigroups of contractions // Proc.
Amer. Math. Soc., 88(2): p.254--256, 1983.
[1470] Ha Ki Sik. Spectral mapping theorems for exponentially bounded C´semigroups
in Banach space // Semigroup forum.´ 1989.´ 38, 2.´ p. 215´221.
[1471] Hackbusch W. Multi´grid methods and applications. Springer.´ 1985, 377 pp.
[1472] Hackenbroch W. Product integration for bounded operator measures // Dierolf,
Susanne (ed.) et al., Functional analysis. Proceedings of the first international
workshop held at Trier University, Germany, September 26´October 1, 1994.
Berlin: de Gruyter. p. 183´209 (1996).

################# ######### 121
[1473] Hadamard Y. Sur les problemes aux derivees particlles ef leur signilication
physique // Bull. Univ. Princeton ´ 1902 ´ v.13.
[1474] Hairer E., Iserles A., Norsett S.P. Rational approximations to the exponential
function with two complex conjugate interpolation points // SIAM J. Math.
Anal.´ 1985, vol.16, N 4.´ p. 814 ´ 821.
[1475] Hairer E., Norsett S.P., Wanner G. Solving ordinary differential equations I. //
1987, vol.8 ´ p. 480.
[1476] Halanay A. A J´isometric dilation of a continuous semigroup with positive gen´
erator // Rev. Roumaine Math. Pures Appl., 34(1): p.23--27, 1989.
[1477] Hale J. K. Asymptotic behavior of dissipative systems. Providance: R.I. Amer.
Math. Soc.´ 1988.´ 198 p.
[1478] Hale J. K. Asymptotically smooth semigroups and applications // Collection:
Nonlinear semigroups, partial differential equations and attractors (Washington,
D.C., 1985), p. 85--93 Lecture Notes in Math., 1248, Springer, Berlin´New York,
1987.
[1479] Hale J. Lin X.B., Raugel G. Upper semicontinuity of abstracts for approximations
of semigroups and partial differential equations // Math. of Comput. ´ 1988, 50,
N 184 ´ p.89´123.
[1480] Hale J.K., Martinez´Amores P. Nonlinear differential equations // Reseach Notes
in Math.´ 1985, N 132.
[1481] Haraux A. Linear semigroups in Banach spaces // Collection: Semigroups, theory
and applications, Vol. II (Trieste, 1984), p. 93--135 Pitman Res. Notes Math. Ser.,
152, Longman Sci. Tech., Harlow, 1986.
[1482] Heard M.L., Rankin S.M. III A semilinear parabolic Volterra integrodifferential
equation. // J. Diff. Equat.´ 1988, 71, N2.´ p. 201´233.
[1483] Heijmans H.J.A.M. Lectures on strongly continuous semigroups. Center for
Mathematics and Computer Science. 1986.
[1484] Heijmans H.J.A.M. Markov semigroups and structured population dynamics //
Collection: Aspects of positivity in functional analysis (Tubingen, 1985), p. 199--
208, North´Holland Math. Stud., 122, North´Holland, Amsterdam´New York,
1986.

122 ################# #########
[1485] Heijmans H. J. A. M. Semigroup theory for control on sun´reflexive Banach
spaces // IMA J. Math. Control Inform., 4(2): p.111--129, 1987.
[1486] Heijmans H.J.A.M. Structures populations, linear semigroups and positivity //
Math. Z.´ 1986.´ 191, 4.´ p. 599´617.
[1487] Heijmans H. J. A. M. , Metz J. A. J. Small parameters in structured population
models and the Trotter´Kato theorem // SIAM J. Math. Anal., 20(4): p.870--885,
1989.
[1488] Heikkila S., Lakshmikantham V. Monotone iterative techniques for discontinuous
nonlinear differential equations. Marcel Dekker, New York ´ Basel, 1994.
[1489] Heimes K.A. Green's Functions for linear second order systems // SIAM J. Math.
Anal.´ 1978, vol.9, N 1´ p. 207 ´ 214.
[1490] Heinrich B. Finite difference methods on irregular networks. // Birkhauser U. ´
1987,p.208.
[1491] Hejtmanek J., Kaper G. Counterexample to the spectral mapping theorem for
the exponential function // Proc. Amer. Math. Soc.´ 1986.´ 96, 4.´ p. 563´568.
[1492] Helfrich H.´P. Error estimates for semicliscrete Gaberkin type approximations
to semilinear evolution equations with nonsmooth initial data // Numer. Math.´
1987, 51, N5.´ p. 559´569.
[1493] Helfrich H.P. Simultaneous approximation in negative norms of arbitrary order
// R.A.I.R.O. Numer. Anal.´ 1981, vol.15, N 3.´ p. 231 ´ 235.
[1494] Henr'iquez H. Approximation of abstract functional´differential equations with
unbounded delay // Indian J. Pure Appl. Math., 27(4): p.357--386, 1996.
[1495] Henr'iquez H. Asymptotically almost´periodic solutions of abstract differential
equations // J. Math. Anal. Appl., 160(1): p.157--175, 1991.
[1496] Henriques H.R. Cosine operator families such that C(t) \Gamma I is compact for all
t ? 0 // Indian J. Pure & Appl. Math.´ 1985.´ 16, 2.´ p. 143´152.
[1497] Henriquez H.R. On Stepanov´almost periodic semigroups and cosine functions of
operators // J. Math. Anal. & Appl. 146, No.2, p. 420´433 (1990).
[1498] Henr'iquez H. On the collective compactness of strongly continuous semigroups
and cosine functions of operators // Taiwanese J. Math., 2(4): p.497--509, 1998.

################# ######### 123
[1499] Henriquez H.R. On the compactness of strongly continuous semigroups and co´
sine functions of operators // Proc. Am. Math. Soc. 123, No.5, p. 1417´1424
(1995).
[1500] Henr'iquez H. Regularity of solutions of abstract retarded functional´differential
equations with unbounded delay // Nonlinear Anal., 28(3): p.513--531, 1997.
[1501] Henriquez H.R., Hernandez E.A. On the abstract Cauchy problem in Frechet
spaces // Proc. Amer. Math. Soc.´ 115 (1992), no. 2, p. 353--360.
[1502] Henry D., Perissinitto A., Lopes O. On the essential spectrum of a semigroup of
thermoelasticity // Nonlinear Anal., 21(1): p.65--75, 1993.
[1503] Heoker Y.W., Kwong M.K., Patula W.T. Oscillatory second order linear differ´
ence equations and Riccati equations // SIAM J. Math. Anal.´ 1978, 18, N 1.´
p. 54 ´ 63.
[1504] Herbst I. The spectrum of Hilbert space semigroups // J. Oper. Theory.´ 1983.´
10, 1.´ p. 87´94.
[1505] Hersh F. Integrales de resolvantes et calcus symbolique // Ann. Inst. Fourier.´
1972.´ 22, 4.´ p. 239´264.
[1506] Hersh R. Explicit solutions of a class of hihger order abstract Cauchy problem
// J. Different. Equat.´ 1970.´ 8, 3.´ p. 570´579.
[1507] Hersh R., Kato T. High´accuracy stable difference sehemes for well´posed initial´
value problems // SIAM J. Numer. Anal.,´ 1979, 16, N 4.´ p. 670 ´ 682.
[1508] Hieber M. L p spectra of pseudodifferential operators generating integrated semi´
groups // Trans. Am. Math. Soc. 347, No.10, p. 4023´4035 (1995).
[1509] Hieber M. An operator´theoretical approach to Dirac's equation on L p ´spaces //
In Semigroup theory and evolution equations (Delft, 1989), p. 259--265. Dekker,
New York, 1991.
[1510] Hieber M. Applications of heat´kernel estimates to evolution equations // In
Differential equations, asymptotic analysis, and mathematical physics (Potsdam,
1996), p. 159--164. Akademie Verlag, Berlin, 1997.
[1511] Hieber M. Examples of pseudo´differential operators in L p spaces with unbounded
imaginary powers // Arch. Math. (Basel), 66(2): p.126--131, 1996.
[1512] Hieber M. Gaussian estimates and holomorphy of semigroups on L p spaces // J.
London Math. Soc. (2), 54(1): p.148--160, 1996.

124 ################# #########
[1513] Hieber M. Gaussian estimates and invariance of the L p ´spectrum for elliptic
operators of higher order // Rend. 1st. Mat. Univ. Trieste 28, SuppL, p. 235´249
(1996).
[1514] Hieber M. Heat kernels and bounded H 1 ´calculus on L p ´spaces // Lumer G.
(ed.) et al., Partial differential equations. Models in physics and biology. Con´
tributions to the conference, held in Han´sur´Lesse, Belgium, in December 1993.
Berlin: Akademie Verlag, Math. Res. 82, p.166´173 (1994).
[1515] Hieber M. Heat kernel estimates and analytic semigroups on L 1 spaces // In Re´
cent developments in evolution equations (Glasgow, 1994), p. 156--160. Longman
Sci. Tech., Harlow, 1995.
[1516] Hieber M. Integrated semigroups and differential operators on L p (IR N )´spaces
// Math. Ann., 1991, 291 (1), p. 1´16.
[1517] Hieber M. Integrated semigroups and the Cauchy problem for systems in L p
spaces // J. Math. Anal. Appl., 162(1): p.300--308, 1991.
[1518] Hieber M. Laplace transforms and ff´times integrated semigroups // Forum
Math., 3(6): p.595--612, 1991.
[1519] Hieber M. On strongly elliptic differential operators on L 1 (R n ) // In Semigroups
of linear and nonlinear operations and applications (Cura?cao, 1992), p. 177--183.
Kluwer Acad. Publ., Dordrecht, 1993.
[1520] Hieber M. On the L p theory of systems of linear partial differential equations
// In Evolution equations, control theory, and biomathematics (Han sur Lesse,
1991), p. 275--283. Dekker, New York, 1994.
[1521] Hieber M. Spectral theory and Cauchy problems on L p spaces // Math. Z.,
216(4): p.613--628, 1994.
[1522] Hieber M. Spectral theory of positive semigroups generated by differential oper´
ators // Arch. Math. (Basel), 63(4): p.333--340, 1994.
[1523] Hieber M., Holderrieth A., Neubrander F. Regularized semigroups and systems
of linear partial differential equations // Ann. Scuola Norm. Sup. Pisa Cl. Sci.
(4), 19(3): p.363--379, 1992.
[1524] Hieber M., Koch´Medina P., Merino S. Linear and semilinear parabolic equations
on buc(R N ) // Math. Nachr., 179: p.107--118, 1996.

################# ######### 125
[1525] Hieber M., Monniaux S. Noyaux de la chaleur et estimations mixtes L p ´L q op´
timales: le cas non autonome // C.R. Acad. Sci. Paris S'er. I Math., 328(3):
p.233--238, 1999.
[1526] Hieber M., Monniaux S. Pseudo´differential operators and maximal regularity
results for non´autonomous parabolic equations // Proc. Amer. Math. Soc.
[1527] Hieber M., Pr?uss J. Functional calculi for linear operators in vector´valued L p ´
spaces via the transference principle // Adv. Differential Equations, 3(6): p.847--
872, 1998.
[1528] Hieber M., Pr?uss J. Heat cernels and maximal L p \Gamma L q estimates for parabolic
evolution equations // Preprint.´ 1998.
[1529] Hieber M., Pr?uss J. Heat kernels and maximal L p ´L q estimates for parabolic
evolution equations. // Comm. Partial Differential Equations, 22(9´10): p.1647--
1669, 1997.
[1530] Hieber M., R?abiger F. A remark on the abstract Cauchy problem on spaces of
H?older continuous functions // Proc. Amer. Math. Soc., 115(2): p.431--434, 1992.
[1531] Hijab O. Stabilization of control systems. // Springerverlag ´ 1987 ´ p.129.
[1532] Hirano N., Kido K., Tahakashi W. Non expansive retractions and non linear
ergodic theorems in Banach spaces // Nonlinear Anal. Theory, Meth. & Appl. ´
1988, 12, N 11. ´ c. 1269´1281.
[1533] Hochstein´Kond M. Existence and uniqueness of global solutions for wave equa´
tion with scalar nonlinearities //ZAMP.´1988.´ 39, N5.´ c. 753´755.
[1534] Hocine F. Approximation Spectrale d'Op'erateurs Lin'eaires, Th`ese de Doctorat,
Universit'e Jean Monnet, Saint´ '
Etienne, France, (1993).
[1535] Hoehnie R.; Sturm K.´Th. On the structure of subordinate semigroups // Forum
Math. 9, No.5, p. 641´654 (1997).
[1536] Hoh W., Jacob N. Upper bounds and conservativeness for semigroups associ´
ated with classes of Dirichlet forms generated by pseudo differential operators //
Forum Math. 8, No.1, p. 107´120 (1996).
[1537] H?onig C.S. Volterra Stiltjes´Integral Equations. North´Holland, Amsterdam.
1975.
[1538] Hoppe R.H.W. A constructive approach to the Bellman semigroup // Nonlinear
Anal., 9(11): p.1165--1181, 1985.

126 ################# #########
[1539] Hoppe R.H.W. Discrete approximations of cosine operator functions. I // SIAM
J. Numer. Anal., 19(6): p.1110--1128, 1982.
[1540] Hoppe R.H.W. Interpolation of cosine operator functions // Ann. Mat. Pura
Appl. (4), 136: p.183--212, 1984.
[1541] Hoppe R.H.W. Multigrid algorithms for variational inegualities // SIAM J. Nu´
mer. Anal.´ 1987, 24, N 5.´ p. 1046´1065.
[1542] Hoppe R.H.W. On the approximate solution of time´optimal control problems
// Appl. Math. Optim., 9(3): p.263--290, 1982/83.
[1543] Hoppe R.H.W. Representations of fractional powers of infinitesimal generators
of cosine operator functions // Resultate Math., 7(1): p.65--70, 1984.
[1544] Hou X.X., Huang F.L. The ranges of compact perturbations of m´accretive op´
erators // Sichuan Daxue Xuebao, 32(3): p.264--268, 1995.
[1545] Hou Z., Cassell J.S. Global attractivity of a single species population model //
NoDEA, Nonlinear Differ. Equ. Appl. 5, No.2, p. 167´180 (1998).
[1546] Hu C. Linear systems of a class in a locally convex space // Chin. Sci. Bull. 38,
No.14, p. 1154´1157 (1993).
[1547] Hu S., Lakshmikantham V., Rao M.R.M. Nonlinear variation of parameters for´
mula for integro´differential equations of Volterra type. // J. Math. Anal. &
Appl. ´ 1988, 129, N1 ´ p. 223´230.
[1548] Huang F. A problem for linear elastic systems with structural damping // Acta
Math. Sinica.´ 1986.´ 6.´ p. 107´113.
[1549] Huang F.L. A note on linear parabolic equations in Hilbert spaces // Ann. Dif´
ferential Equations, 7(4): p.423--431, 1991.
[1550] Huang F.L. Characteristic conditions for exponential stability of linear dynamical
systems in Hilbert spaces // Ann. Differential Equations, 1(1): p.43--56, 1985.
[1551] Huang F.L. Characteristic properties of semigroups of isometric linear operators
in Banach spaces // Sichuan Daxue Xuebao, 1983(4): p.1--8.
[1552] Huang F.L. Existence of almost periodic solutions for dissipative differential
equations // Ann. Differential Equations, 6(3): p.271--279, 1990.
[1553] Huang F.L. Exponential stability for autonomous linear functional´differential
equations with infinite retardations // Sci. China Ser. A, 32(5): p.550--563, 1989.

################# ######### 127
[1554] Huang F.L. Exponential stability of linear systems in Banach spaces // Chinese
Ann. Math. Ser. B, 10(3): p.332--340, 1989. A Chinese summary appears in
Chinese Ann. Math. Ser. A 10 (1989), no. 4, 520.
[1555] Huang F.L. Linearizing principles of asymptotic stability for nonlinear differential
equations // Acta Math. Sinica, 20(4): p.291--293, 1977.
[1556] Huang F.L. Nonlinear Volterra integral equations in Banach spaces // Acta
Math. Sinica, 24(1): p.143--153, 1981.
[1557] Huang F.L. On linear autonomous functional´differential equations with infinite
delay // Ann. Differential Equations, 3(3): p.275--292, 1987.
[1558] Huang F.L. On linear autonomous neutral differential equations with infinite
delay // In Dynamical systems (Tianjin, 1990/1991), p. 86--98. World Sci. Pub´
lishing, River Edge, NJ, 1993.
[1559] Huang F. On the mathematical model for linear elastic systems with analytic
damping // SIAM J. Contr. Optim.´ 1988.´ 26, 3.´ p. 714´724.
[1560] Huang F. On the holomorphic property of the semigroup associated with linear
elastic systems with structural damping // Acta math. sci. (Chinese).´ 1985.´
55.´ p. 271´277.
[1561] Huang F.L. On the mathematical model for linear elastic systems with analytic
damping // SIAM J. Control Optim., 26(3): p.714--724, 1988.
[1562] Huang F.L. On the problem of the stability of solutions of linear differential
equations with small delay in Banach spaces // J. Math. (Wuhan), 6(2): p.183--
192, 1986.
[1563] Huang F.L. On the theory of aysmptotic stability of linear dynamical systems in
general Banach spaces // Kexue Tongbao (Chinese), 28(10): p.584--586, 1983.
[1564] Huang F.L. Perturbation of uniform asymptotic stability for nonlinear differential
equations. II // Acta Math. Sinica, 21(1): p.77--79, 1978.
[1565] Huang F.´L. Some problems for linear elastic systems with damping // Acta´
Math.´Sci. (English Ed.) 10 (1990), no. 3, p. 319--326.
[1566] Huang F.L. Spectral properties and stability of one´parameter semigroups // J.
Differential Equations, 104(1): p.182--195, 1993.
[1567] Huang F.L. Strong asymptotic stability of linear dynamical systems in Banach
spaces // J. Differential Equations, 104(2): p.307--324, 1993.

128 ################# #########
[1568] Huang F.L. The existence of periodic solutions of linear and nonlinear evolution
equations in Banach spaces // Ann. Differential Equations, 7(2): p.166--170,
1991.
[1569] Huang F.L., Huang T.W. Local C´cosine family theory and application // Chi´
nese Ann. Math. Ser. B, 16(2): p.213--232, 1995. A Chinese summary appears in
Chinese Ann. Math. Ser. A 16 (1995), no. 2, 260.
[1570] Huang F., Huang Y., Guo F. Holomorphic and differentiable properties of the CO ´
semigroup associated with the Euler´Bernoulli beam equations with structural
damping // Sci. China, Ser. A 35, No.5, p. 547´560 (1992).
[1571] Huang F.´L., Liang J., Xiao T.´J. Fixed points of set´valued mappings and ex´
istence of solutions and periodic solutions to differential inclusions // Sichuan
Daxue Xuebao, 28(3):269--277, 1991.
[1572] Huang F.L., Liu K.´S. A problem of exponential stability for linear dynamical
systems in Hilbert spaces // Kexue Tongbao (English Ed.), 33(6): p.460--462,
1988.
[1573] Huang F.L., Liu K.´S. A problem on the exponential stability of linear dynamical
systems in a Hilbert space // Kexue Tongbao (Chinese), 32(3): p.161--163, 1987.
[1574] Huang F.L., Liu K.´S. Holomorphic property and exponential stability of the
semigroup associated with linear elastic systems with damping // Ann. Differ´
ential Equations, 4(4): p.411--424, 1988.
[1575] Huang F.L., Liu K.´S., Chen G. Differentiability of the semigroup associated with
a structural damping model // In Proceedings of the 28th IEEE Conference on
Decision and Control, Vol. 1--3 (Tampa, FL, 1989), p. 2034--2038, New York,
1989. IEEE.
[1576] Huang F.R. Stability and stabilization problems of linear semigroups // Kexue
Tongbao, 23(9): p.525--529, 524, 1978.
[1577] Huang F.R. Stability of linear semigroups and stabilization problems // Sichuan
Daxue Xuebao, 1980(3): p.17--35.
[1578] Huang S. Characterizing spectra of closed operators through existence of slowly
growing solutions of their Cauchy problems // Stud. Math. 116, No.1, 23´41
(1995).

################# ######### 129
[1579] Huang S.´Z. and van Neerven J.M. A.M. B´convexity, the analytic Radon´
Nikodym property, and individual stability of C 0 ´semigroups// J. Math. Anal.
Appl., 231(1), p. 1--20, 1999.
[1580] Huang S., Raebiger F. Superstable C 0 ´semigroups on Banach spaces // Clement
Ph. (ed.) et al., Evolution equations, control theory, and biomathematics. 3rd
international workshop´conference, held at the Han´sur´Lesse Co nference Center
of the Belgian Ministry of Education. Proceedings. Basel: Dekker, Lect. Notes
Pure Appl. Math. 155, p. 291´299 (1993).
[1581] Huang S.´Z. On Bernstein type theorems concerning the growth of derivatives of
entire functions // Proc. Am. Math. Soc. 125, No.2, p. 493´505 (1997).
[1582] Huang T. Local integrated cosine family // J. Sichuan Univ., Nat. Sci. Ed. 31,
No.4, p. 442´451 (1994).
[1583] Huang T.´W., Huang F.L. Analyticity of C´semigroups and their perturbations
// Sichuan Daxue Xuebao, 31(3): p.287--291, 1994.
[1584] Huang T.´W., Huang F.L. C´cosine operator functions // Ann. Differential
Equations, 10(2): p.154--168, 1994.
[1585] Hughes R.J. A partial integration formula for product integrals of unbounded
operator´valued functions // Proc. Amer. Math. Soc. 96 (1986), no. 3, 455--461.
[1586] Hughes R.J. A product formula for certain quadratic form perturbations // In
Differential equations (Birmingham, Ala., 1983), p.313--319. North´Holland, Am´
sterdam, 1984.
[1587] Hughes R.J. A version of the Trotter product formula for quadratic´
formperturbations // J. London Math. Soc.´ 1984.´ 30, 2.´ p. 322´334.
[1588] Hughes R.J. Hardy´Landau´Littlewood inequalities for fractional derivatives in
weighted L p spaces // J. London Math. Soc. (2), 35(3): p.489--498, 1987.
[1589] Hughes R.J. On fractional integrals and derivatives in L p // Indiana Univ. Math.
J., 26(2): p.325--328, 1977.
[1590] Hughes R.J. On product integration of certain generalized operator´valued func´
tions // J. Math. Anal. Appl., 116(2): p.598--603, 1986.
[1591] Hughes R.J. On the convergence of unbounded sequences of semi´groups // J.
London Math. Soc. (2), 16(3): p.517--528, 1977.

130 ################# #########
[1592] Hughes R.J. On the logarithm of an abstract potential operator // Indiana Univ.
Math. J., 29(3): p.447--454, 1980.
[1593] Hughes R.J. On unbounded Volterra operators // Canad. J. Math., 36(5): p.914--
923, 1984.
[1594] Hughes R.J. Semigroups of unbounded linear operators in Banach space // Trans.
Amer. Math. Soc.´ 1977.´ 230.´ p. 113´145.
[1595] Hughes R.J. Singular perturbations in the interaction representation. II // J.
Funct. Anal., 49(3): p.293--314, 1982.
[1596] Hughes R.J. Some consequences of Duhamel's formula for weak solutions of time´
dependent Schr?odinger equations // Integral Equations Operator Theory, 7(2):
p.206--217, 1984.
[1597] Hughes R.J. The approximation of fractional powers of a closed operator //
Illinois J. Math., 24(2): p.333--343, 1980.
[1598] Hughes R.J., Kantorovitz S. Boundary values of holomorphic semigroups of un´
bounded operators and similarity of certain perturbations // J. Funct. Anal.,
29(2): p.253--273, 1978.
[1599] Hundsdorfer W.H. A note on monotonicity of a Rosenbrock method // J. Comp.
& Appl. Math.´ 1987, 20, N 1.´ p. 267´273.
[1600] Hussain M.A. On a nonlinear integrodifferential equation in Banach space //
Indian J. Pure & Appl. Math.´ 1988, 19, N 6.´ p. 516´528.
[1601] Hussain M.A., Pu S. L. A variational principle for singular integral equations
with bounded solutions // Internat. J. Engrg. Sci., 11(7): p.767--781, 1973.
[1602] Hutter W. Spectral theory and almost periodicity of mild solutions of non´
autonomous Cauchy problems. Tuebingen: Univ. Tuebingen, Mathematische
Fakultaet, 82 p. (1997).
[1603] Hwang Chyi, Jung Chee´Fai. System reduction by Cauer continued´fraction ex´
pansion about s = 0 and s = a alternately // Int. J. Sei.´ 1986, 17, N 11.´ p.
1567 ´ 1587.
[1604] Hwang Chyi, Chen Muh´Jang // Solution of general Pade folting problem via
continued´fraction expansion // IEEE Trans. Autom. Contr.´ 1987, 32, N 1, p.
57 ´ 59.

################# ######### 131
[1605] Iancu G.M. and Wong M.W.. Analytic semigroups and semilinear heat equations
in Hilbert spaces. Appl. Anal., 69(3´4):265--283, 1998.
[1606] Ichinose T., Tamura H. Error estimate in operator norm for Trotter´Kato product
formula // Integral Equations Oper. Theory 27, No.2, p. 195´207 (1997).
[1607] Ikehata R., Okazawa N. A class of second order quasilinear evolution equations
// J. Differential Equations, 114(1): p.106--131, 1994.
[1608] Ikehata R., Okazawa N. Yosida approximation and nonlinear hyperbolic equation
// Nonlinear Anal., 15(5): p.479--495, 1990.
[1609] Iribarren I., Leon R.J.R. Extension of second´order differential operators, Brow´
nian motion and the Nelson method for the Schrodinger equation with electro´
magnetic fields // Collection: First conference on analysis (Spanish) (Merida,
1986), p. 95--132 Univ. de los Andes, Merida, 1986.
[1610] Iseghem Y. van. Vector Pade approximations // 11´th IMACS World Congress
Sci. Comput., Oslo, 5´9 Aug., 1985, vol. 1, Amsterdam,1986 ´ p. 73´77.
[1611] Iserles A. Order stars approximations and finite differences III. Finite differences
for U t = Wu xx // SIAM J. Math. Anal.´ 1985, 16, N 5 ´ p. 1020´1033.
[1612] Iserles A., Norsett S.P. Error control of rational approximations to the exponen´
tial function // Contr. Approximat.´ 1986, 2, N 1.´ p. 41 ´ 57.
[1613] Iserles A., Norsett S.P. Order stars and rational approximation to exp(z) //
Appl. Numer. Mach. ´ 1989, 5, N 1´2.´ c.63´70.
[1614] Ishihara H., Takahashi W. Fixed point theorems for uniformly Lipschitzian semi´
groups in Hilbert spaces // J. Math. Anal. & Appl. 127 (1987), no. 1, 206--210.
[1615] Ishikawa S. Hilbert transforms of one parameter groups of operators I.(II) //
Tokio J. Math.´ 1986.´ 9, 2.´ p. 383´393 (p. 395´414).
[1616] Ishikawa S. Some remark on Tauberian theorem // Keio Math. Sem. Rep., (6):
p.17--21, 1981.
[1617] Ito K., Kappel F. Approximation of infinite delay and Volterra type equations
// Numer. Math.´ 1989, 54, N 4.´ p. 405´444.
[1618] Ito K., Kappel F. Approximation of semilinear Cauchy problems // Nonlinear
Anal., 24(1): p.51--80, 1995.

132 ################# #########
[1619] Ito K., Kappel F. The Trotter´Kato theorem and approximation of PDEs //
Math. Comp., 67(221): p.21--44, 1998.
[1620] Ito M. Abstract Green operators and semigroups // Natur. Sci. Rep. Ochanomizu
Univ., 34(1): p.1--13, 1983.
[1621] Itoh T. Bifurcation and stability of periodic orbits of nonlinear evolution equa´
tions // Sci. Papers College Arts Sci. Univ. Tokyo . 36 (1987), no. 2, p. 107--135.
[1622] Ivanov V. V. Uniformly summable semigroups of operators. I. Generation of the
semigroups // Trudy´Inst. Mat. 7 (1987), Issled. Geom. Mat. Anal., p. 117--131,
200.
[1623] Iwamiya T. Global existence of mild solutions to semilinear differential equations
in Banach spaces // Hiroshima Math. J. 16 (1986), no. 3, p. 499--530.
[1624] Iwamiya T., Oharu S., Takahashi T. On the semigroup approach to some nonlin´
ear dispersive equations // In Numerical analysis of evolution equations (Kyoto,
1978), p.95--134. Kinokuniya Book Store, Tokyo, 1979.
[1625] Janos L. Compactification and linearization of abstract dynamical systems //
Acta Univ. Carol., Math. Phys. 38, No.1, p. 63´70 (1997).
[1626] Jefferies B. Perturbations of Schr?odinger semigroups generated by stochastic in´
tegrals // J. Funct. Anal., 77(1): p.98--111, 1988.
[1627] Jefferies B. Semigroups and diffusion processes // Math. Proc. Cambridge´Philos.
Soc. 102 (1987), no. 1, p. 139--148.
[1628] Jefferies B. The generation of weakly integrable semigroups // J. Funct. Anal.
73 (1987), no. 1, p. 195--215.
[1629] Jefferies B. The uniqueness of diffusion semigroups // In Miniconference on
Operators in Analysis (Sydney, 1989), p. 126--134. Austral. Nat. Univ., Canberra,
1990.
[1630] Jefferies B. Weakly integrable semigroups // In Miniconference on operator the´
ory and partial differential equations (Canberra, 1983), p. 91--97. Austral. Nat.
Univ., Canberra, 1984.
[1631] Jefferies B. Weakly intagrable semigroups on locally convex spaces // J. Funct.
Anal.´ 1988.´ 66 (3).´ p. 347´364.

################# ######### 133
[1632] Jiang Y.´L., Xu Z.´B. A necessary and sufficient condition for weak convergence of
iterative methods for accretive operators and of nonlinear contraction semigroups
in Banach spaces // (Chinese. English summary) Acta Math. Sin. 37, No.6, p.
842´851 (1994).
[1633] Jiang Y.´L., Xu Z.´B., Roach G.F. On conditions of weak convergence of non´
linear contraction semigroups and of iterative methods for accretive operators in
Banach spaces // Nonlinear Anal., Theory Methods Appl. 27, No.4, p. 387´396
(1996).
[1634] Johnson B. E. Perturbations of semigroups // Quar. J. Match. Oxford.´1985.´
36, 143.´ p. 315´346.
[1635] Jong Juang. Degenerate Riccati equations with unbounded coefficients arising
in transport theory // Numer. Funct. Anal. and Optimiz.´ 1989.´ 10, N3.´ 4.´ p.
305´321.
[1636] Journal of computational and applied mathematics. Special issue on extrapola´
tion and Pade approximation. // 1987, 19, N1 ´ p.177.
[1637] Johnson C. et al. Error estimates for spatially discrete approximations of semi´
linear parabolic equations with nonsmooth initial data // Math. Comp., 49(180):
p.331--357, 1987.
[1638] Jovanovic B.S. On the convergence of finite´difference schemes for parabolic equa´
tions with variable coefficients // Numer. Math.´ 1989, 54, N4.´ p. 395´404.
[1639] Jovanovic B.S., Ivanovic L.D. Convergence of finite´difference seheme for second´
order hyperbolic equations with variable coefficients // IMA J. Numer. Anal.´
1987, 7, N 1.´ c. 39´ 45.
[1640] Jung C.C., Shaw S.´Y. Perturbation theory of abstract Cauchy problems and
Volterra equations // Nonlin. Anal. Theory Meth. & Appl.´ 1997.´ 30.´ 6.´ p.
3521´3528.
[1641] Jung M. Duality theory for solutions to Volterra integral equations // J. Math.
Anal. Appl., 230(1): p.112--134, 1999.
[1642] Jung M. Evolution families and generators of semigroups // Houston J. Math.,
23(2): p.357--383, 1997.
[1643] Jung M. Functional calculi in semigroup theory // In Recent developments in
evolution equations (Glasgow, 1994), p. 175--179. Longman Sci. Tech., Harlow,
1995.

134 ################# #########
[1644] Jung M. Multiplicative perturbations in semigroup theory with the (Z)´condition
// Semigroup Forum 52, No.2, p. 197´211 (1996).
[1645] Jung M. Some perturbation results for semigroups // Arch. Math. (Basel), 64(6):
p.475--483, 1995.
[1646] Jurkat W. B., Lutz D.A. On the order of solutions of analytic linear differential
equations // Proc. London Math. Soc. (3), 22: p.465--482, 1971.
[1647] Jurkat W., Lutz D., Peyerimhoff A. Effective solutions for meromorphic second
order differential equations // Lecture Notes in Math., Vol. 312, 1973. p. 100--107.
[1648] Jurkat W., Lutz D., Peyerimhoff A. Invariants and canonical forms for mero´
morphic second order differential equations // p. 181--187. North--Holland Math.
Studies, Vol. 21, 1976.
[1649] Kada O. Strong ergodic theorems for commutative semigroups of operators.
Proc. Amer. Math. Soc., 127(10): 3003--3011, 1999.
[1650] Kamenski Michail, Obukhovski Valeri, and Zecca Pietro. On the translation
multioperator along the solutions of semilinear differential inclusions in Banach
spaces. Canad. Appl. Math. Quart., 6(2):139--155, 1998. Geoffrey J. Butler
Memorial Conference in Differential Equations and Mathematical Biology (Ed´
monton, AB, 1996).
[1651] Kanda S. Cosine families and weak solutions of second order differential equations
// Proc. Japan Acad.´ 1978.´ 54, Ser.A.´ p. 119´123.
[1652] Kantorovitz S. C n ´operational calculus, non´commutative Teylor formula and
perturbation of semigroups // J. Funct. Anal.´ 1993.´ 113.´ 1.´ p. 139´152.
[1653] Kantorovitz S. Analytic families of semigroups // Semigroup Forum.´ 1997.´ 54.´
p. 356´363.
[1654] Kantorovitz S. C n ´operational calculus, noncommutative Taylor formula and per´
turbation of semigroups // J. Funct. Anal., 113(1): p.139--152, 1993.
[1655] Kantorovitz S. Examples on similarity in L p // J. Math. Anal. Appl., 180(2):
p.550--552, 1993.
[1656] Kantorovitz S. On Liu's analyticity criterion for semigroups // Semigroup Forum,
53(2): p.262--265, 1996.

################# ######### 135
[1657] Kantorovitz S. Semigroups of operators and spectral theory. Pitman Research
Notes in Mathematics Series. 330. Harlow: Longman Scientific & Technical. 135
p. (1995).
[1658] Kantorovitz S. Sur le calcul fonctionnel dans les algebres de Banach (On the
functional calculus in Banach algebras) // C. R. Acad. Sci., Paris, Ser. I 317,
No.10, p. 951´953 (1993).
[1659] Kantorovitz S. The Hille´Yoshida space of an arbitrary operator // J. Math.
Anal. & Appl.´ 1988.´ 136, 1.´ p. 107´111. (Cr´1)
[1660] Kantorovitz S., Hughes R.J. Spectral analysis of certain operator functions. //
J. Operator Theory, 22 (1989), no. 2, p. 243--265.
[1661] Kantorovitz S., Huges R.J. Spectral representations for unbounded operator with
real spectrum // Math. Ann.´ 1988.´ 282, 4.´ p. 535´544.
[1662] Kantorovitz S., Hughes R.J. Spectral representation of local semigroups // Math.
Ann., 259(4): p.455--470, 1982.
[1663] Kantorovitz S., Piskarev S. Mean stability of semigroups // Taiwanese J. Math.,
To appear.
[1664] Kappel F. Semigroups and delay equations // Collection: Semigroups, theory
and applications, Vol. II (Trieste, 1984), Pitman Res. Notes Math. Ser., 152,
Longman Sci. Tech., Harlow, 1986. p. 136--176.
[1665] Kappel F., Salamon D. On the stability properties of spline approximations for
retarded system //SIAM J. Contr. and Optima.´ 1989. ´27, N2.´ p. 407´431.
[1666] Kappel F., Zhang K.´P. Equivalence of functional´differential equations of neutral
type and abstract Cauchy problems // Monatsh. Math., 101(2): p.115--133, 1986.
[1667] Kappel F., Zhang K.´P. On neutral functional´differential equations with
nonatomic difference operator // J. Math. Anal. Appl., 113(2): p.311--343, 1986.
[1668] Karakashian O.A. On Runge´Kutta methods for parabolic problems with time´
dependent coefficients // Math. Comput.´ 1986, vol.47, N 175.´ p. 77´101.
[1669] Karakashian O.A. Runge´Kutta´Nystr?om methods for hyperbolic problems with
time´dependent coefficients // Comput. Math. Appl., 13(9´11): p.785--800, 1987.
[1670] Karatzas I., Shreve S.E. Brownian motion and stochastic calculus.´ Springer´
Verlag, Berlin, 1991, Graduate texts in Mathematics, 113.

136 ################# #########
[1671] Karayannakis D. Spectral decompositions of hyperbolic isometric groups in
Hardy spaces of the disk // J. Math. Anal. & Appl. 160, No.2, p. 342´357 (1991).
[1672] Kartsatos A.G., Parrott M.E. A method of lines for a nonlinear abstract func´
tional evolution equation // Trans. Amer. Math. Soc., 1984, 286, N 1, p. 73 ´
89.
[1673] Kartsatos A.G., Parrot M.E. The weak solution of a functional differential equa´
tion in a general Banach space // J. Diff. Equat.´ 1988.´ 75, N 2.´ c. 290´302.
[1674] Kataoka T., Sato R., Suzuki H. Differentiation of superadditive processes in L p .
// Acta´Math. Hungar. 49 (1987), no. 1´2, p. 157--162.
[1675] Kato T. Abstract differential equations and nonlinear mixed problems. Lezioni
Fermiane. [Fermi Lectures] Scuola Normale Superiore, Pisa; Accademia
Nazionale dei Lincei, Rome, 1985, 89 pp.
[1676] Kato T. Linear evolution equations of ''hyperbolic'' type // J. Fac. Sci. Univ.
Tokyo.´Sect. I.´1970.´17, 1.´ p. 241´258.
[1677] Kato T. Linear evolution equations of ''hyperbolic'' type, II // J. Match Soc.
Jap.´1973.´25.´ p. 648´666.
[1678] Kato T. Perturbation theory for linear operators, Springer´Verlag, Berlin, 1982.
[1679] Kato T., Masuda K. Nonlinear evolution equations and analyticity. I // Ann.
Inst. H. Poincare´Anal. Non´Lineaire. 3 (1986), no. 6, p. 455--467.
[1680] Katznelson Y., Tzafriri L. On power bounded operators // J. Funct. Anal.´ 1986,
68.´ p. 313´328.
[1681] Kauffman R.M. A strong contractivity property for semigroups generated by
differential operators // Trans. Amer. Math. Soc.´ 1988, 307, N1.´ p. 153´169.
[1682] Kellerman H., Hieber M. Integrated semigroups //J. Funct. Anal.´ 1989. ´84, N
1.´ p. 160´180.
[1683] Kenmochi N. Global attractor of the semigroup associated to a phase´field model
with constraint // Niezgodka, Marek (ed.) et al., Free boundary problems, theory
and applications. Lectures presented at the congress, Zakopane, Poland, June
11´18, 1995. Harlow: Longman. Pitman Res. Notes Math. Ser. 363, p. 111´125
(1996).
[1684] Kerscher W., Nagel R. Positivity and stability for Cauchy problems with delay
// Lect. Notes Math.´ 1988.´ 1324.´ c. 216´235.

################# ######### 137
[1685] Keyantuo V. A note on interpolation of semigroups // Proc. Am. Math. Soc.
123, No.7, p. 2123´2132 (1995).
[1686] Keyantuo V. Integrated semigroups and related partial differential equations //
J. Math. Anal. & Appl. 212, No.1, p. 135´153. Art. No. AY 975487 (1997).
[1687] Keyantuo V. Interpolation et extrapolation des C´semi´groupes (Interpolation
and extrapolation of C´semigroups) // (French) Publ. Math. Fac. Sci. Besancon,
Anal. Non Lineaire 12, p. 103´121 (1990).
[1688] Keyantuo V. On the Schroedinger equation in L p spaces // Math. Ann. 304,
No.2, p. 293´302 (1996). [ISSN 0025´5831].
[1689] Keyantuo V. The Laplace transform and the ascent method for abstract wave
equations // J. Diff. Equations, 1995, 122, p. 27´47.
[1690] Keyantuo V., Vieten P. On analytic semigroups and cosine functions in Banach
spaces // Stud. Math. 129, No.2, p. 137´156 (1998).
[1691] Khaliq A.Q.M., Al´Hawai A.Y. A third order finite´difference method for two
dimensional parabolic equations // Math. Anal. and its Appl.: Proc. Int. Conf.
Kuwait.´ 1988´ p. 281´288.
[1692] Khatskevich V., Reich S., Shoikhet D. Fixed points of holomorphic mappings and
semigroups in Banach spaces: Regularity and uniqueness // Kalton, Nigel (ed.) et
al., Interaction between functional analysis, harmonic analysis, and probability.
Proceedings of a conference held at the University of Missouri, Columbia, ##,
USA, May 29´June 3, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure
Appl. Math. 175, p. 249´254 (1996).
[1693] Kido K., Takahashi W. Mean ergodic theorems of semigroups of linear operators
// J. Match. Anal. & Appl.´1984.´ 103,2.´ p. 387´394.
[1694] Kim D.J. Semigroup´theoretical approach to higher order nonlinear operator´
differential equations. I // (Korean. English summary) Suhak 1990, No.4, p.
24´31 (1990).
[1695] Kim D.J. Semigroup´theoretical approach to higher order nonlinear operator´
differential equations. II. (Korean. English summary) Suhak 1991, No.1, p. 15´20
(1991).
[1696] Kim H.´S., Jang L.´C. On Schrodinger semigroups, the magnetic case // Math.
Japon. 32 (1987), no. 4, p. 605--607.

138 ################# #########
[1697] Kim J.´B. n´dimensional sine and cosine functions // Chinese´J.´Math. 19 (1991),
no. 4.´ p. 287--294.
[1698] King Z.T., Neubauer A. A variant of finite ´ dimensional Tirhonov regularization
with A ´ posteriori parameter choice // Computing. ´ 1988, 40, N 2.´ p. 91 ´ 109.
[1699] Kipnis C. Majoration des semigroupes de L p et application // Ann. Inst. H.
Poincare.´1974.´10.´p. 369´384.
[1700] Kirichuk P.A. A probabilistic formula for solving an abstract Cauchy problem
for a third´order equation // Collection: Dynamical systems and nonlinear phe´
nomena (Russian), p. 53--66 Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1990.
[1701] Kirichuk P.A. An operator´valued function of Mittag´Leffler type and a prob´
abilistic formula for solving the abstract Cauchy problem // Original: Dokl.´
Akad.´Nauk´SSSR, 315 (1990), no. 5, p. 1039--1044. Translation: Soviet´Math.´
Dokl. 42 (1991), no. 3, 866--870
[1702] Kirichuk P.A. Approximation of an operator´valued function of Mittag´Leffler
type // Akad. Nauk Ukrain. SSR Inst. Mat. Preprint, 1988, no. 45.´ p. 34--38.
[1703] Kirichuk P.A. Characterization of the generator of an operator´valued function
of Mittag´Leffler type // Akad. Nauk Ukrain. SSR Inst. Mat. Preprint, 1988, no.
45, p. 24--33.
[1704] Kirichuk P.A. On a regular operator´valued function of Mittag´Leffler type. //
Dokl. Akad. Nauk Ukrain. SSR, Ser.´A, 1990, no. 12, p. 5--9, 79.
[1705] Kirichuk P.A., Tkachenko S.G. An operator´valued function of Mittag´Leffler
type // Akad. Nauk Ukrain. SSR Inst. Mat. Preprint, 1987, no. 68, p. 32--52.
[1706] Kiryakova V.S. New integral representations of the generalized hypergeometric
functions // C. R. Acad. Bulgare Sci. 39 (1986), no. 12.´ p. 33--36.
[1707] Kiryakova V. S., McBride A. C. Explicit solution of the nonhomogeneous hyper´
Bessel differential equation // C.R. Acad. Bulgare Sci., 46(5): p.23--26, 1993.
[1708] Kisy'nski J. A proof of the Trotter´Kato theorem on approximation of semi´groups
// Colloq. Math., 18: p.181--184, 1967.
[1709] Kisynski J. A remark on continuity of one parameter semigroups of operators //
Colloq match.´1968.´19,2.´p. 277´284.
[1710] Kisynski J. On cosine operator functions and one parameter groups of operators
// Studia Match.´ 1972.´ 44.´ p. 93´105.

################# ######### 139
[1711] Kisynski J. On operator´value solutiones of d'Alambert's functional equatione,I
// Colloq match.´1971.´23.´p. 107´114.
[1712] Kisynski J. On operator´value solutiones of d'Alambert's functional equatios,II
// Stud. mat.´ 1971.´ 24.´ p. 43´66.
[1713] Kisynski J. On second order Cauchy's problem in a Banach space // Bull. Acad.
Polon. Sci. Math. Astronom. Phys.´ 1970.´ XVIII, 7.´ p. 371´374.
[1714] Kisy'nski J. On second order hyperbolic equation with two independent variables
// Colloq. Math., 22: p.135--151 (errata insert), 1970.
[1715] Kisy'nski J. On temporally inhomogeneous equations of evolution in Banach
spaces // Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys., 14: p.623--626,
1966.
[1716] Kisy'nski J. Sur les 'equations diff'erentielles dans les espaces de Banach // Bull.
Acad. Polon. Sci. S'er. Sci. Math. Astr. Phys., 7: p.381--385 (unbound insert),
1959.
[1717] Kluvanek I. Sampling theorem for groups of operators // Measure theory, Proc.
2nd Winter Sch., Liptovsky Jan/Czech. 1990, p. 114´116 (1990). [For the entire
collection see Zbl. 725.00004.]
[1718] Knabner R., Vessella S. Stabilization of ill´posed Cauchy problems for parabolic
eguations // Istituto Anal. Appl. ´ 1987, 149, ´ p. 394´410.
[1719] Kobajashi K. On a theorem for a linear evolution equations of hyperbolic type
// J. Match. Soc. Jap.´ 1979.´ 31, 4.´ p. 647´654.
[1720] Kobauashi T. A digital P I´controller for disributed parameter systems // SIAM
J. Contr. And Optim.´ 1988.´ 26, N 6.´ p. 1399´1414.
[1721] Kobayashi Y. An operator theoretic method for solving u t = \Delta/(u). //
Hiroshima´Math. J. 17 (1987), no. 1, p. 79--89.
[1722] Kobayashi J. Product formula for nonlinear contraction semigroups in Banach
spaces // Hiroshima Math. J.´ 1987, 17, N 1.´ p. 129 ´ 140.
[1723] Koci'c V. L., Ladas G. Global behavior of nonlinear difference equations of higher
order with applications. Kluwer Academic Publishers Group, Dordrecht, 1993.
[1724] Kok B., Geveci T. The convergence of Galerkin approximation schemes for
second´order hyperbolic equations with dissipation // Math. Comp.´ 1984, 44, N
170.´ p. 379 ´ 390.

140 ################# #########
[1725] K?omura Y. On linear evolution equations with variable domains // Funct. Anal.
Numer. Anal. Japan France seminar.´ 1976.´ p. 223´230.
[1726] Konishi Y. Cosine functions of operators in locally convex spaces // J. Fac. Univ.
Tokyo. Match.´ 1972.´ 18.´ p. 443´463.
[1727] Kopytko B.I. Semigroups of operators describing a multi´dimensional diffusion
with partially reflecting barrier on a hyperplane // Random Oper. Stoch. Equ.
1, No.1, p. 95´102 (1993).
[1728] Korzeniowski A. On logarithmic Sobolev constant for diffusion semigroups // J.
Funct. Anal. 71 (1987), no. 2, p. 363--370.
[1729] Kosseva Albena A., Kostadinov Stepan I. and Zabreiko Petr P. Stability of linear
impulse differential equations with unbounded operator. Rostock. Math. Kolloq.,
(53):51--59, 1999.
[1730] Kostin V.A. Analytic semigroups and cosine functions // Dokl. Akad. Nauk
SSSR, 307 (1989), no. 4, p. 796--799.
[1731] Kostin V.A. On analytic semigroups and cosine functions // (English.Russian
original) Sov. Math., Dokl. 40, No.1, p. 153´156 (1990); translation from Dokl.
Akad. Nauk SSSR 307, No.4, p. 796´799 (1989).
[1732] Kostin V.A. On the solution of a problem involving the abstract cosine function
// (English. Russian original) Russ. Acad. Sci., Dokl., Math. 49, No.3, p. 556´
559 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No.5, p.
584´586 (1994).
[1733] Kovacs I., McMillen W. R. Contraction representations of semigroups in finite
von Neumann algebras // Acta Sci. Math. 54, No. 1/2, p. 133´137 (1990).
[1734] Kowalski T., Sadkowski W. Applications of C´groups to existence of solutions of
some mixed problems // Demonstratio Math., 31(2): p.477--484, 1998.
[1735] Kozhevnikov Alexander. Analyticity of the semigroup generated by the operator
of a viscous compressible fluid. Math. Methods Appl. Sci., 22(1):1--11, 1999.
[1736] Kozlov V., Maz'ya V. Differential equations with operator coeffitients with ap´
plications to boundary value problems for partial differential equations. Springer
Monogr. in Math. 1999, XX.
[1737] Kraljevic H. On Landau's type inequalities for infinitesimal generators // Math.
Commun. 1, No.2, p. 111´120 (1996).

################# ######### 141
[1738] Kraljevi'c H., Kurepa S. Semigroups on Banach spaces // Glasnik Mat. Ser. III,
5(25): p.109--117, 1970.
[1739] Kraljevic H., Pecaric J. Some Landau's type inequalities for infinitesimal gener´
ators // Aequationes Math. 40, No.2´3, p. 147´153 (1990).
[1740] Kravvaritis D. Random semilinear evolution equations in Banach spaces // Proc.
Amer. Math. Soc. 113 (1991), no. 3.´ p. 715--722.
[1741] Krendel U., Lin M. On the range of the generator of Markovian semigroup //
Match. Z.´ 1984.´ 185.´ p. 553´565.
[1742] Kresher W., Nagel R. Positivity and stability for Cauchy problem with decay //
Semesterbricht Funktionanalisis. Tubingen.´ 1986.´ p. 35´54.
[1743] Kreulich J. The RAGE theorem in Banach spaces // Semigroup Forum 49, No.2,
p. 151´163 (1994).
[1744] Kriete T.L. III Cosubnormal dilation semigroups on Bergman spaces. // J.
Operator´Theory, 17 (1987), no. 2, p. 191--200.
[1745] Kriete T.L., III, Rhaly H.C.Jr. Translation semigroups on reproducing kernel
Hilbert spaces. // J. Operator´Theory, 17 (1987), no. 1, p. 33--83.
[1746] Krishna S. V. , Agase S.B. Nonlinear evolution equations in locally convex spaces
// Pure Appl. Math. Sci., 17(1´2): p.19--24, 1983.
[1747] Krishna S. V. , Agase S.B. On weak solutions of abstract Cauchy problem in
nonreflexive Banach spaces // J. Math. Phys. Sci., 16(3): p.253--268, 1982.
[1748] Krishna S. V. , Agase S.B. On weak solutions of Cauchy problem in nonreflexive
Banach spaces // J. Math. Phys. Sci., 14(6): p.633--651, 1980.
[1749] Krishnamurthy E.V. Error´free polynomial matrix computations.´ 1985.
[1750] Kruze M., Ravjar P. A. Approximation of linear evolution equations by means
of linear multistep methods // In Numerical methods in mathematical physics,
geophysics and optimal control (Sympos., Novosibirsk, 1976) (Russian), p. 97--
112, 233. ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1978.
[1751] Kulkarni R.D. D'Alambert's functional equations on products of topological
groups // Indian J. Pure & Appl. Match.´ 1988.´ 19, 6.´ p. 539´548.

142 ################# #########
[1752] Kumari K., Singh H., Vasudeva H. L. On the operator functional equation S(t +
s) + S(t \Gamma s) = 2S(t)[I \Gamma 2S 2 (s=2)] // Glas. Mat. Ser. III, 23(43)(1): p.45--71,
1988.
[1753] Kunstmann P.C. Distribution semigroups and abstract Cauchy problems //
Trans. Am. Math. Soc. 351, No.2, p. 837´856 (1999).
[1754] Kunstmann P.C. Regularization of semigroups that are strongly continuous for
t ? 0 // Proc. Am. Math. Soc. 126, No.9, p. 2721´2724 (1998).
[1755] Kunstmann P.C. Stationary dense operators and generation of non´dense distri´
bution semigroups // J. Oper. Theory 37, No.1, p. 111´120 (1997).
[1756] Kunstmann P.C. Stationary dense operators and generation of non´dense distri´
bution semigroups // J. Oper. Theory 37, No.1, p. 111´120 (1997).
[1757] Kuo C.´C., Shaw S.´Y. C´cosine functions and the abstract Cauchy problem. I
// J. Math. Anal. & Appl. 210, No.2, p. 632´646, Art. No. AY975420 (1997).
[1758] Kuo C.´C., Shaw S.´Y. C´cosine functions and the abstract Cauchy problem. II
// J. Math. Anal. & Appl. 210, No.2, p. 647´666, Art. No.AY975421 (1997).
[1759] Kurepa S. A cosine functional eqation in n´dimentional vector space // Glas.
Mat.´ 1958.´ 13.´ p. 169´189.
[1760] Kurepa S. A cosine functional equation in Banach algebras // Acta. Sci. Match.
Szeged.´ 1962.´ 23.´ p. 255´267.
[1761] Kurepa S. A cosine functional eqation in Hilbert space // Can. J. Match.´ 1960.´
12.´ p. 45´49.
[1762] Kurepa S. A weakly measurable selfajoint cosine functions // Glas. Mat.´ 1973.´
8, 1.´ p. 73´79.
[1763] Kurepa S. Decomposition of weakly measurable semigroups and cosine operatos
functions // Glas. Mat.´ 1976.´ III, 11(31).´ p. 91´95.
[1764] Kurepa S. Logarithms of spectral type operators // Glasnik Mat.´Fiz. Astronom.
Ser. II Dru?stvo Mat. Fiz. Hrvatske, 18: p.53--57, 1963.
[1765] Kurepa S. On some functional equations in Banach space // Stud. Match.´ 1960.´
19.´ p. 149´158.
[1766] Kurepa S. On the functional equation: T 1 (t+s)T 2 (t \Gamma s) = T 3 (t)T 4 (s): // Publ.
Inst. Math. (Beograd) (N.S.), 2 (16): p.99--108 (1963), 1962.

################# ######### 143
[1767] Kurepa S. Remark on similarity of operators // Glas. Mat. Ser. III, 13(33)(1):
p.75--80, 1978.
[1768] Kurepa S. Semigroups and cosine functions // Func. Anal. Lect. Notes Match.´
1982.´ 948.´ p. 47´72.
[1769] Kurepa S. Uniformly bounded cosine function in Banach space // Math. Balkan.´
1972.´ 2.´ p. 109´115.
[1770] Kurtz, T.G. A general theorem on the convergence of operator semigroups //
Trans. Amer. Math. Soc. 148 (1970), p. 23--32.
[1771] Kurtz T.G., Pierre M. A counterexample for the Trotter Product Formula // J.
Diff. Equat., 1984, 52, p. 407 ´ 414.
[1772] Kurtz Th. G., Protter Ph. E. Weak convergence of stochastic integrals and differ´
ential equations. II. Infinite´dimensional case // Probabilistic models for nonlin´
ear partial differential equations (Montecatini Terme, 1995), p. 197--285, Lecture
Notes in Math. 1627 Springer, Berlin, 1996.
[1773] Kusano T., Oharu S. Semilinear evolution equations with singularities in ordered
Banach spaces. Diff. and Integral equations, 1992, V.5, N 6, p.1383´1405.
[1774] Kusuoka S., Stroock D. Some boundedness properties of certain stationary dif´
fusion semigroups // J. Funct. Anal., 1985, 60 N 2, p. 243 ´ 264.
[1775] La Salle J.P. The stability and control of discrets processes // Appl. Math.
Sciences, N 62.´ 1986.´ 150 p.
[1776] Labbas R. A two point problem for a second order abstract differential equations
// Lect. Notes in Math.´ 1986, N 1223.´ p. 156 ´ 159.
[1777] Labbas R., Terreni B. Sommes d'operatours de type elliptique ef parabolique 2´e
partic: Applications // Boll. Un. Math. Ital.´ 1988, B2, N1.´ p. 141´162.
[1778] Ladas G.E. Powers of generators of holomorphic semigroups // Proc. Amer.
Math. Soc.´ 1987.´ 99, 1.´ p. 105´108.
[1779] Ladas G.E. Scalar´type spectral operators and holomorphic semigroups // Semi´
group Forum.´ 1986.´ 33, 2.´ p. 257´263.
[1780] Ladas G.E. Second order incomplite expiring Cauchy Problems // Semigroup
Forum.´ 1989.´ 39, 1.´ p. 75´84.

144 ################# #########
[1781] Ladas G.E. Totally accretiv operators // Proc. Amer. Math. Soc.´ 1988.´ 103,
2.´ p. 551´556.
[1782] Ladas G.E., Triggiani R. A cosine approch to modelling L p ((0; T ); (L p (w))´
boundary input hyperbolic equations // Appl. Math. & Optim.´ 1981.´ 7.´ p.
35´93.
[1783] Ladas G.E., Triggiani R. Finite rank, ralatievly bounded perturbations of semi´
groups generators. Part 2. Spectrum and Riesz basis assignment with applications
to feedback systems // Ann. Math. Optim.´ 1986.´ 143.´ p. 17´100.
[1784] Ladas G.E., Lakshmikantan V. Differential equations in abstract spaces // Acad.
Press, New York.´ 1972.
[1785] Ladyzhenskaya O.A. Some complements and corrections to my papers on the
theory of attractors for abstract semigroups // (English. Russian original) J.
Sov. Math. 62, No.3, p. 2789´2794 (1992); translation from Zap. Nauchn. Semin.
Leningr. Otd. Mat. Inst. Steklova 182, p. 102´112 (1990).
[1786] Lamb W., McBride A. C. On relating two approaches to fractional calculus //
J. Math. Anal. Appl., 132(2): p.590--610, 1988.
[1787] Lamberton D. Equations d'evolution lineaires associees a des semi´groupes de
contractions dans les espaces L p . [Linear evolution equations associated with
contraction semigroups in L p ´spaces] // J. Funct. Anal. 72 (1987), no. 2, p.
252--262.
[1788] Lancien F., Lancien G., Le Merdy C. A joint functional calculus for sectorial
operators with commuting resolvents // Proc. London Math. Soc. (3), 77(2):
p.387--414, 1998.
[1789] Lancien F., Lancien F., Le Merdy C. Un calcul fonctionnel joint pour des
op'erateurs sectoriels // C.R. Acad. Sci. Paris S'er. I Math., 323(3): p.263--268,
1996.
[1790] Lancien G., Le Merdy C. A generalized H 1 functional calculus for operators on
subspaces of L p and application to maximal regularity // Illinois J. Math., 42(3):
p.470--480, 1998.
[1791] Lange R., Nagy B. Semigroups and scalar´type operators in Banach spaces // J.
Funct. Anal. 119, No.2, p. 468´480 (1994).
[1792] Lange R., Nagy B. Semigroups and scalar´type operators in Banach spaces // J.
Funct. Anal. 119, No.2, p. 468´480 (1994).

################# ######### 145
[1793] Largillier A. A numerical quadrature for some weakly singular integral operators
// Appl. Math. Lett. 8(1).´ (1995), p. 11´14.
[1794] Largillier A. Spectral approximation of weakly singular integral operators. II. A
Newton method for the jet printer industry // In Integral methods in science
and engineering, Vol. 2 (Oulu, 1996), p.129--133. Longman, Harlow, 1997.
[1795] Largillier A., Levet M. A note on a collectively compact approximation for weakly
singular integral operators // Appl. Math. Lett., 6(4): p.87--90, 1993.
[1796] Larhrissi N. Perturbation a valeurs faiblement compactes non necessairement
convexes d'un probleme d'evolution [Perturbation with not necessarily convex
weakly compact values for an evolution problem] // Collection: Seminaire d
'analyse convexe, Vol. 14 (Montpellier, 1984), Exp. No. 14, 22 pp. Univ. Sci.
Tech. Languedoc, Montpellier, 1984.
[1797] Larsson S. The long´time behavior of finite´element approximations of solutions
to semilinear parabolic problems // SIAM J. Numer. Anal. ´1989.´ 26.´ N2.´ p.
348´365.
[1798] Larsson S., Sanz´Serna J.´M. A shadowing result with applications to finite el´
ement approximation of reaction´diffusion equations // Math. Comp., 68(225):
p.55--72, 1999.
[1799] Larsson S., Sanz´Serna J. M. The behavior of finite element solutions of semilin´
ear parabolic problems near stationary points // SIAM J. Numer. Anal., 31(4):
p.1000--1018, 1994.
[1800] Larsson S., Thom'ee V., Wahlbin L.B. Finite´element methods for a strongly
damped wave equation // IMA J. Numer. Anal., 11(1): p.115--142, 1991.
[1801] Larsson S., Thom'ee V., Wahlbin L.B. Numerical solution of parabolic integro´
differential equations by the discontinuous Galerkin method // Math. Comp.,
67(221): p.45--71, 1998.
[1802] Larsson S., Thom'ee V., Zhang N.Y. Interpolation of coefficients and transforma´
tion of the dependent variable in finite element methods for the nonlinear heat
equation // Math. Methods Appl. Sci., 11(1): p.105--124, 1989.
[1803] Larsson S., Thom'ee V., Zhou S. Z. On multigrid methods for parabolic problems
// J. Comput. Math., 13(3): p.193--205, 1995.

146 ################# #########
[1804] Lashkarizadeh Bami, M. Positive functionals on Lau Banach *´alebras with ap´
plication to negative´definite functions on foundation semigroups // Semigroup
Forum 55, No.2, p. 177´184 (1997).
[1805] Lasiecka I. Approximations of analytic and differentiable semigroups---rate of
convergence with nonsmooth initial conditions // In Infinite´dimensional systems
(Retzhof, 1983), p. 123--138. Springer, Berlin, 1984.
[1806] Lasiecka I., Lions J. L., Triggiani R. Non homogenious boundary value problems
for second order hyperbolic operators // J. Math. Pure & Appl.´ 1986.´ 65, 2.´
p. 149´192. (87)
[1807] Lasiecka I., Manitius A. Differentiability and convergence rates of approximating
semigroups for retarded functional differential equations // SIAM J. Numer.
Anal.´ 1988, 25, N4.´ p. 883´907.
[1808] Lasiecka I., Pandolfi L., Triggiani R. A singular control approach to highly
damped second´order abstract equations and applications // In Control of par´
tial differential equations and applications (Laredo, 1994), p. 157--169. Dekker,
New York, 1996.
[1809] Lasiecka I., Pandolfi L., Triggiani R. A singular control approach to highly
damped second´order abstract equations and applications // Appl. Math. Op´
tim., 36(1): p.67--107, 1997.
[1810] Lasiecka I., Triggiani R. A cosine approch to modelling L p ((0; T ); (L p (w))´
boundary input hyperbolic equations // Appl. Math. & Optim.´ 1981.´ 7.´ p.
35´93.
[1811] Lasiecka I., Triggiani R. A direct approach to exact controllability for the wave
equation with Neumann boundary control and to an Euler´Bernoully equation //
Proc. 26´th IEEE Conf. Decis. and Contr., Los Angeles, Calif. Dec. 9´11, 1987,
vol.1, N.Y.´ 1987, p. 529´534.
[1812] Lasiecka I., Triggiani R. A lifting theorem for the time regularity of solutions
to abstract equations with unbounded operators and applications to hyperbolic
equations // Proc. Amer. Math. Soc., 104 (1988), p. 745´755.
[1813] Lasiecka I., Triggiani R. Abstract model and semigroup well´posedness of spher´
ical shells with boundary dissipation // In Dynamical systems and applications,
p. 453--471. World Sci. Publishing, River Edge, NJ, 1995.

################# ######### 147
[1814] Lasiecka I., Triggiani R. Analyticity, and lack thereof, of thermo´elastic semi´
groups // In Control and partial differential equations (Marseille´Luminy, 1997),
p. 199--222 (electronic). Soc. Math. Appl. Indust., Paris, 1998.
[1815] Lasiecka I., Triggiani R. Analyticity of thermo´elastic semigroups with free
boundary conditions // Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 27(3´4):
p.457--482 (1999), 1998.
[1816] Lasiecka I., Triggiani R. Finite rank, relatively bounded perturbations of semi´
groups generators. I. Well´posedness and boundary feedback hyperbolic dynamics
// Ann. Scuola´Norm. Sup. Pisa´Cl. Sci. (4), 12 (1985), no. 4, p. 641--668 (1986).
[1817] Lasiecka I., Triggiani R. Finite rank, relatively bounded perturbations of semi´
groups generators. II. Spectrum and Riesz basis assignment with applications to
feedback systems // Ann. Mat. Pura & Appl. (4), 143 (1986), p. 47--100.
[1818] Latambur K.N. Parametric semigroups of almost linear operators // Random
Oper. Stoch. Equ. 1, No.2, p. 205´211 (1993).
[1819] Latrach K.; Mokhtar Kharroubi M. On an unbounded linear operator arising in
the theory of growing cell population // J. Math. Anal. & Appl. 211, No.1, p.
273´294 (1997).
[1820] Latushkin Y., Montgomery´Smith S. Evolutionary semigroups and Lyapunov
theorems in Banach spaces // J. Funct. Anal. 127, No.1, p. 173´197 (1995).
[1821] Latushkin Y., Montgomery´Smith S. Lyapunov theorems for Banach spaces //
Bull. Am. Math. Soc., New Ser. 31, No.1, p. 44´49 (1994).
[1822] Latushkin Y., Montgomery´Smith S., Randolph T. Evolutionary semigroups and
dichotomy of linear skew´product flows on locally compact spaces with Banach
fibers // J. Differ. Equations 125, No.1, p. 73´116, Art. No.0025 (1996).
[1823] Latushkin Y., Randolph T, Dichotomy of differential equations on Banach spaces
and an algebra of weighted translation operators // Integral Equations Oper.
Theory 23, No.4, p. 472´500 (1995).
[1824] Latushkin Yuri and Schnaubelt Roland. Evolution semigroups, translation
algebras, and exponential dichotomy of cocycles. J. Differential Equations,
159(2):321--369, 1999.
[1825] Lau A.T.´M., Takahashi W. (To´Ming Lau, A.) Invariant means and semigroups
of nonexpansive mappings on uniformly convex Banach spaces // J. Math. Anal.
Appl. 153, No.2, p. 497´505 (1990).

148 ################# #########
[1826] Lau A.T.M., Takahashi W. Weak convergence and nonlinear ergodic theorems for
reversible semigroups of nonexpansive mappings // Pacific J. Math. 126 (1987),
no. 2, p. 277--294.
[1827] Law C.K., Ng K.F. Characterization of positive semigroups of operators on Ba´
nach spaces // J. Math. Anal. & Appl. 170, No.1, p. 207´213 (1992).
[1828] Layton W.J. Simplified L( estimates for difference schemes for partial differential
equations // Proc. Amer. Math. Soc.´ 1982, 86, N 3.´ p. 491´495.
[1829] Le Merdy C. Counterexamples on L p ´maximal regularity // Math. Z., 230(1):
p.47--62, 1999.
[1830] Le Merdy C. On dilation theory for C 0 ´semigroups on Hilbert space // Indiana
Univ. Math. J., 45(4): p.945--959, 1996.
[1831] Le Merdy Ch. The semilarity problem for bounded analytic semigroups on
Hilbert space // Semigroup Forum, 1998, V.56 (2), p. 205´224.
[1832] Lee C.´S., Shaw S.´Y. Representation formulas for cosine and sine functions of
operators // Aequat. Math.´ 1985.´ 29, 2´3.´ p. 162´171.
[1833] Lee D., Sternberg R.L., Schultz M.N. (Eds) Computational a coustrics. 1988, Vol
1,2.
[1834] Lee G.´D., Park J.´Y. Asymptotic behavior of generalized solutions in Banach
spaces. // Bull. Korean Math. Soc. 23 (1986), no. 2, p. 123--132.
[1835] Lee Y.´J., Sharp inequalities and regularity of heat semigroup on infinite´
dimensional spaces // J. Funct. Anal. 71 (1987), no. 1, p. 69--87.
[1836] Lee Y.S., Reich S. Convergence of accretive operators and nonlinear semigroups
// Commun. Appl. Nonlinear Anal. 2, No.1, p. 11´46 (1995).
[1837] Lei Gong´jan. Extrapolation correction and combined algorithms for solving
parabolic equations by the difference method // Journal of Comp. Math.´ 1985,
vol.3, N 3.´ p. 193 ´ 201.
[1838] Lei Y.S., Zheng Q. Adjoint semigroups of exponentially bounded C´semigroups
// Math. Appl., 6(suppl.): p.154--159, 1993.
[1839] Lei Y.S., Zheng Q. Exponentially bounded C´semigroups and integrated semi´
groups with non´densely defined generators. II. Perturbations // Acta Math. Sci.
(Chinese), 13(4): p.428--434, 1993.

################# ######### 149
[1840] Lei Y., Yi W., Zheng Q. Semigroups of operators and polynomials of generators
of bounded strongly continuous groups // Proc. Lond. Math. Soc., III. Ser. 69,
No.1, p. 144´170 (1994).
[1841] Lei Y., Zheng Q. The application of C´semigroups to differential operators in
L p (IR n ) // J. Math. Anal. & Appl. 188, No.3, p. 809´818 (1994).
[1842] Lenferink H.W. Contractivity preserving explirit linear multistep methods //
Numer. Math.´ 1989.´ 55, N2, p. 213´223.
[1843] Lenhart S.M., Travis C.C. Stability of functional partial differential equations //
J. Diff. Equat.´ 1985, 58.´ p. 212´227.
[1844] Lenhart S.M., Travis C.C. Global stability of a biological model with time delay
// Proc. Amer. Math. Soc.´ 1986, 96.´ p. 75´78.
[1845] Leung D. Uniform convergence of operators and Grothendieck spaces with the
Dunford´Pettis property // Math. Z., 197(1): p.21--32, 1988.
[1846] Levan N. Stability enhancement by state feedback // Collection: Control prob´
lems for systems described by partial differential equations and applications
(Gainesville, Fla., 1986), p. 313--324. Lecture Notes in Control and Inform. Sci.,
97, Springer, Berlin´New York, 1987.
[1847] Levan N. Strong stabilizability of a class of Hubert space contraction semigroups
// Nguyen Huu Anh (ed.) et al., Analysis and mechanics of continuous media.
Proceedings of an international conference, HoChiMinh City, December 27´2 9,
1995 in honor of D. D. Ang. HoChiMinh City: Vietnamese Mathematical Society,
Publ. HoChiMinh City Math. Soc. 3, p. 226´236 (1995).
[1848] Li C.Z. Asymptotic regulator design for infinite´dimensional linear systems // J.
Systems´Sci. Math. Sci. 7 (1987), no. 4, p. 303--315.
[1849] Li H., Huang F.´L. A note on the exponential stability of linear dynamic system
in Banach spaces // Ann. Differential Equations, 4(1): p.1--7, 1988.
[1850] Li H., Zhu J.S., Huang F.´L. The exponential stability of linear dynamical sys´
tems in Banach spaces // Ann. Differential Equations, 5(3): p.307--312, 1989.
[1851] Li Likang. Extrapolation of difference method for heat´conduction equation //
Nat. Sci. J. Fundam. Univ. ´ 1989.´ 28, N 1.´ p. 61´66.
[1852] Li M., Huang F. Characterizations of contraction C´semigroups // Proc. Amer.
Math. Soc., 126(4):1063--1069, 1998.

150 ################# #########
[1853] Li S.´Y. A property of the C 0 ´semigroup corresponding to the slender flying
vehicle system with structural damp // J. Syst. Sceince & Math. Sceinces.´ 1988,
8, N 3.´ p. 219´225.
[1854] Li Y. The abstract Cauchy problem and a generalization of the Lumer´Phillips
theorem // Chin. Ann. Math., Ser. B 19, No.3, p. 349´358 (1998).
[1855] Li Y.´C., Shaw S.´Y. Addendum to: ``On product formulas for exponential func´
tions'' [Semigroup Forum 32 (1985), no. 2, p.127--133; MR 87a:47069] // Semi´
group Forum, 34(1): p.124--126, 1986.
[1856] Li Y.´C., Shaw S.´Y. An abstract ergodic theorem and some inequalities for
operators on Banach spaces // Proc. Amer. Math. Soc., 125(1): p.111--119, 1997.
[1857] Li Y.´C., Shaw S.´Y. Generalized limits and a mean ergodic theorem // Studia
Math., 121(3): p.207--219, 1996.
[1858] Li Y.´C., Shaw S.´Y. Hermitian and positive C´semigroups on Banach spaces //
Publ. Res. Inst. Math. Sci., 31(4): p.625--644, 1995.
[1859] Li Y.´C., Shaw S.´Y. Hermitian and positive integrated C´cosine functions on
Banach spaces // Positivity 2, No.3, p. 281´299 (1998).
[1860] Li Y.´C., Shaw S.´Y. Infinite differentiability of Hermitian and positive C´
semigroups and C´cosine functions // Publ. Res. Inst. Math. Sci., 34(6): p.579--
590, 1998.
[1861] Li Y.´C., Shaw S.´Y. N´times integrated C´semigroups and the abstract Cauchy
problem // Taiwanese J. Math. 1(1) (1997), p. 75--102.
[1862] Li Y.´C., Shaw S.´Y. On generators of integrated C´semigroups and C´cosine
functions // Semigroup Forum 47, No.1, p. 29´35 (1993).
[1863] Li Y.´C., Shaw S.´Y. On product formulas for exponential functions // Semigroup
Forum, 32(2): p.127--133, 1985.
[1864] Li Y.´C., Shaw S.´Y. On the operator equation SX \Gamma XT = Q // J. Com´
put. Math., 7(2): p.151--156, 1989. China´US Seminar on Boundary Integral and
Boundary Element Methods in Physics and Engineering (Xi'an, 1987--88).
[1865] Li Y.´S., Chen D.´Y. The transformation operator of nonlinear evolution equa´
tions. IV. // Acta´Math. Sinica 29 (1986), no. 1, p. 127--134.

################# ######### 151
[1866] Liang J., Huang F., Xiao T. Exponential stability for abstract linear autonomous
functional´differential equations with infinite delay // Internat. J. Math. Math.
Sci., 21(2): p.255--259, 1998.
[1867] Liang J., Qin T.´H. Asymptotic behaviour of weak solutions to a boundary value
problem for dynamic viscoelastic equations with memory // Proc. Roy. Soc.
Edinburgh Sect. A, 125(1): p.153--164, 1995.
[1868] Liang J., Xiao T. A characterization of norm continuity of propagators for second
order abstract differential equations // Comput. Math. Appl., 36(2): p.87--94,
1998.
[1869] Liang J., Xiao T. Functional´differential equations with infinite delay in Banach
spaces // Internat. J. Math. Math. Sci., 14(3): p.497--508, 1991.
[1870] Liang J., Xiao T. Functional´differential equations with infinite delay in Fr'echet
space // Sichuan Daxue Xuebao, 26(4): p.382--390, 1989.
[1871] Liang J., Xiao T. Higher order abstract Cauchy problems in locally convex
spaces // In Differential equations and control theory (Wuhan, 1994), p.177--
181. Dekker, New York, 1996.
[1872] Liang J., Xiao T. Integrated semigroups and higher order abstract equations //
J. Math. Anal. Appl., 222(1): p.110--125, 1998.
[1873] Liang J., Xiao T. Norm continuity for t ? 0 of linear operator families // Chinese
Sci. Bull., 43(9): p.719--723, 1998.
[1874] Liang J., Xiao T. Norm continuity (for t ? 0) of propagators of arbitary order
abstract differential equations in Hilbert spaces // Journal Math. Anal. & Appl.´
1996.´ 204 (1).´ p. 124´137.
[1875] Liang J., Xiao T. Norm continuity of families of linear operators on t ? 0 //
Kexue Tongbao (Chinese), 43(2): p.145--149, 1998.
[1876] Liang J., Xiao T. Solutions to abstract functional´differential equations with
infinite delay // Acta Math. Sinica, 34(5): p.631--644, 1991.
[1877] Liang J., Xiao T. Well´posedness of the Cauchy problem for equations of catalysis
type and the exponential growth property of their solutions // Gaoxiao Yingyong
Shuxue Xuebao, 6(4): p.499--505, 1991.
[1878] Liang J., Xiao T. Wellposedness results for certain classes of higher order abstract
Cauchy problems connected with integrated semigroups // Semigroup Forum.´
1998.´ 56 (1).´ p. 84´103.

152 ################# #########
[1879] Liang J., Xiao T., Huang F.´L. Solvability and stability of abstract functional´
differential equations with unbounded delay // Sichuan Daxue Xuebao, 31(1):
p.8--14, 1994.
[1880] Lin C.Y., Shaw S.´Y. Addendum to: ``On product formulas for exponential func´
tions'' [Semigroup Forum 32 (1985), no. 2, p.127--133; MR 87a:47069] // Semi´
group Forum, 34(1):124--126, 1986.
[1881] Lin C.´Y., Shaw S.´Y. On a product formulas for exponential functions // Semi´
group Forum.´ 1985.´ 32, 2.´ p. 127´133.
[1882] Lin C.S.C., Shaw S.´Y. On the operator equation SX \Gamma XT = Q. // J. Com´
put. Math., 7(2): p.151--156, 1989. China´US Seminar on Boundary Integral and
Boundary Element Methods in Physics and Engineering (Xi'an, 1987--88).
[1883] Lin L., Zeng X. Locally saturation theorem for probabilistic representation for´
mulas of C´semigroups // J. Math. Study, 28(3): p.93--98, 1995.
[1884] Lin P.´K. A remark on contraction semigroups on Banach spaces // Bull. Lond.
Math. Soc. 27, No.2, p. 169´172 (1995).
[1885] Lin T., Ewing R.E. A direct numerical method for an diverse problem for the
heat equation via hiperbolic perturbation // Proc. 27´th IEEE Conf. Decis and
Contr., Autin. ´1988, vol 1.´ p. 240´224.
[1886] Lin Y. Time´dependent perturbaton theory for abstract evolution equations of
second order // Stud. Math. 130, No.3, p. 263´274 (1998).
[1887] Lin Y., Tanaka N. Abstract hyperbolic Volterra integrodifferential equations //
J. Integral Equations Appl., 10(2): p.195--218, 1998.
[1888] Lin Y., Tanaka N. Nonlinear abstract wave equations with strong damping //
J. Math. Anal. Appl., 225(1): p.46--61, 1998.
[1889] Linden H. Starke Konvergence im Verallgemeinerten Sinne und Spectra // Math.
Z. 134 (1973), p. 205´213.
[1890] Linden H. ?
Uber die Stabilitat von Eigenwerten // Math. Ann. 203 (1973), p.
215´220.
[1891] Lioen W.M. Multigrid methods for elliptic PDEs // Rept. Cent. Math. & Com´
put. Sci.´ 1987, NNM´R 8722, p. 1´15.
[1892] Lions P.L. Une methode iterative de resolution d'une inequation variationnelle
// Israel J. Math.´ 1978, vol.31, N 2.´ p. 204 ´208.

################# ######### 153
[1893] Liskevich V. On C 0 ´semigroups generated by elliptic second order differential
expressions on ZP ´spaces // Differ. Integral Equ. 9, No.4, p. 811´826 (1996).
[1894] Liskevich V.A., Perelmuter M.A., Semenov Yu.A. Form´bounded perturbations
of generators of sub´Markovian semigroups // Acta Appl. Math. 44, No.3, p.
353´377 (1996).
[1895] Liu G.Z. General theory of regular solutions and hyposolutions of the homo´
geneous equation du=dt = Au. // In Differential equations (Xanthi, 1987),
p.445--450. Dekker, New York, 1989.
[1896] Liu G.Z. Generation of locally equi´bounded semigroups in inductive limit of
Banach spaces // Integral Equations Operator Theory, 14(6): p.806--824, 1991.
[1897] Liu K., Liu Z. On the type of C 0 ´semigroup associated with the abstract linear
viscoelastic system // Z. Angew. Math. Phys., 47(1): p.1--15, 1996.
[1898] Liu K.M., Ortiz E.Z. Numerical solution of eigenvalue problems for partial dif´
ferential equations with the tau´lines method // Comp. & Maths. with Appl.´
1986, 12B, N 5/6.´ p. 1153 ´ 1168.
[1899] Liu G. Generation of locally equi´bounded semigroups in inductive limits of Ba´
nach spaces // Integral Equations Oper. Theory 14, No.6, p. 806´824 (1991).
[1900] Liu K., Liu Z. On the type of C 0 ´semigroup associated with the abstract linear
viscoelastic system // Z. Angew. Math. Phys. 47, No.1, p. 1´15 (1996).
[1901] Liu Zh., Yong J. Qualitative properties of certain # 0 ´semigroupes arising in elas´
tic systems with various damping // Advances in Diff. Equat., 1998, 3, N 5, p.
643´686.
[1902] Lizama C. A characterization of periodic resolvent operators // Result. Math.,
1990, 18 (1´2), p. 93´105.
[1903] Lizama C. A characterization of uniform continuity for Volterra equations in
Hilbert spaces // Proc. Amer. Math. Soc., 126(12): p.3581--3587, 1998.
[1904] Lizama C. A mean ergodic theorem for resolvent operators // Semigroup Forum,
47(2): p.227--230, 1993.
[1905] Lizama C. Y. A note on the compactness of resolvent families of operators //
Proyecciones, 10(17): p.35--41, 1991.
[1906] Lizama C. A representation formula for strongly continuous resolvent families //
J. Integral Equations Appl., 9(4): p.321--327, 1997.

154 ################# #########
[1907] Lizama C. Mild almost periodic solutions of abstract differential equations // J.
Math. Anal. Appl., 143(2): p.560--571, 1989.
[1908] Lizama C. On an extension of the Trotter´Kato theorem for resolvent families of
operators // J. Integral Equations Appl., 2(2): p.269--280, 1990.
[1909] Lizama C. On positive strongly continuous cosine functions // Math. Balk., New
Ser. 4, No.1, p. 43´49 (1990).
[1910] Lizama C. On the convergence and approximation of integrated semigroups //
J. Math. Anal. & Appl. 181 (1), (1994), p. 89--103.
[1911] Lizama C. On the spectrum of cosine operator functions // Integral Equations
Operator Theory, 12(5): p.713--724, 1989.
[1912] Lizama C. On Volterra equations associated with a linear operator // Proc.
Amer. Math. Soc., 118(4): p.1159--1166, 1993.
[1913] Lizama C. Spektralmethoden und Approximation in der Theorie des abstrakten
Cauchy´Problems. (Spectral methods and approximation in the theory of ab´
stract Cauchy problems). Stuttgart: Univ. Stuttgart, Fak. Mathematik, Diss. 70
S. (1990).
[1914] Lizama C. Uniform continuity and compactness for resolvent families of operators
// Seminar Notes in Func. Anal. and Partial Diff. Equations, Baton Rouge, USA,
1992´1993, p. 29´43.
[1915] Lizama C. Uniform continuity and compactness for resolvent families of operators
// Acta Appl. Math. 38, No.2, p. 131´138 (1995).
[1916] Lizama C., Prado H. The vector´valued Stieltjes transform // Quart. J. Math.
Oxford Ser. (2), 50(198): p.197--206, 1999.
[1917] L?ofstrom J., Thomie V. Convergence analyses of difference schemes for semi´
linear initial´value problems // R.A.I.R.O. Anal. Numer.´ 1976, vol.10, N 8.´ p.
61 ´ 86.
[1918] Lopes O. Perturbation of the spectrum of evolution operators // J. Oper. Theor.´
1988.´ 19, 2.´ p. 365´379.
[1919] Lopushans'kyi O.V., Sharin, S.V. Generalized functions of operators in Banach
spaces // Dopov. Akad. Nauk Ukr. 1996, No.6, p. 7´9 (1996).

################# ######### 155
[1920] Loreti P., Siconolfi A. Semigroup approach for the approximation of a control
problem with unbounded dynamics // J. Optim. Theory Appl., 79(3): p.599--610,
1993.
[1921] /
Loskot K., Rudnicki R. Relative entropy and stability of stochastic semigroups
// Ann. Polon. Math., 53(2): p.139--145, 1991.
[1922] Loss M., Thaller B. Optimal heat kernel estimates for Schroedinger operators
with magnetic fields in two dimensions // Commun. Math. Phys. 186, No.1, p.
95´107 (1997).
[1923] Lotz H.R. Tauberian theorems for operators on L p and similar spaces // Funct.
Anal.: Survays and Recent results III.´ 1984.´ p. 117´133.
[1924] Lubich C. Erratum: ``On the convergence of multistep methods for nonlinear stiff
differential equations'' [Numer. Math. 58 (1991), no. 8, 839--853; MR 92d:65127]
// Numer. Math., 61(2):277--279, 1992.
[1925] Lubich C. On convolution quadrature and Hille´Phillips operational calculus //
Appl. Numer. Math., 9(3´5): p.187--199, 1992. International Conference on the
Numerical Solution of Volterra and Delay Equations (Tempe, AZ, 1990).
[1926] Lubich C. On the convergence of multistep methods for nonlinear stiff differential
equations // Numer. Math., 58(8): p.839--853, 1991.
[1927] Luczak A. Properties of ergodic projection for quantum dynamical semigroups
// Int. J. Theor. Phys. 37, No.1, p. 555´562 (1998).
[1928] Luke Y.L. Computations of coefficients in the polynomials of Pade approxima´
tions by solving system of linear equations // J. Comp. & Appl. Math.´ 1980,
vol.6, N 3.´ p. 213 ´ 218.
[1929] Lumer G. An exponential formula of Hille´ Yosida type for propagators // In
Anniversary volume on approximation theory and functional analysis (Oberwol´
fach, 1983), p. 527--542. Birkh?auser, Basel, 1984.
[1930] Lumer G. An introduction to hyperfunctions and ffi´expansions // In Generalized
functions, operator theory, and dynamical systems (Brussels, 1997), p. 1--25.
Chapman & Hall/CRC, Boca Raton, FL, 1999.
[1931] Lumer G. Applications de l'analyse non standard `a l'approximation des semi´
groupes d'op'erateurs et aux 'equations d''evolution // C.R. Acad. Sci. Paris S'er.
I Math., 309(3): p.167--172, 1989.

156 ################# #########
[1932] Lumer G. Applications des solutions g'en'eralis'ees et semi´groupes int'egr'es `a des
probl`emes d''evolution // C.R. Acad. Sci. Paris S'er. I Math., 311(13): p.873--878,
1990.
[1933] Lumer G. Approximation d'op'erateurs locaux et de solutions d''equations
d''evolution // In Seminar on Potential Theory, Paris, No. 5 (French), p.166--185.
Springer, Berlin, 1980.
[1934] Lumer G. Connecting of local operators and evolution equations on networks //
In Potential theory, Copenhagen 1979 (Proc. Colloq., Copenhagen, 1979), p.
219--234. Springer, Berlin, 1980.
[1935] Lumer G. '
Equations d''evolution en norme uniforme (conditions n'ecessaires et
suffisantes de r'esolution et holomorphie). p.8, 1977.
[1936] Lumer G. '
Equations d''evolution, semi´groupes en espace´temps et perturbations
// C. R. Acad. Sci. Paris S'er. I Math., 300(6): p.169--172, 1985.
[1937] Lumer G. Evolution equations in sup´norm context and in L 2 variational context
// p. 547--558. Internat. Ser. Numer. Math., Vol. 40, 1978.
[1938] Lumer G. Evolution equations. Solutions for irregular evolution problems via gen´
eralized solutions and generalized initial values. Applications to periodic shocks
models // Ann. Univ. Sarav. Ser. Math., 5(1):i--iv and 1--102, 1994.
[1939] Lumer G. Examples and results concerning the behavior of generalized solutions,
integrated semigroups, and dissipative evolution problems // In Semigroup the´
ory and evolution equations (Delft, 1989), p. 347--356. Dekker, New York, 1991.
[1940] Lumer G. Generalized evolution operators and (generalized) C´semigroups //
In Semigroup theory and evolution equations (Delft, 1989), p. 337--345. Dekker,
New York, 1991.
[1941] Lumer G. New singular multiplicative perturbation results via homotopy´like
perturbation // Arch. Math. (Basel), 53(1): p.52--60, 1989.
[1942] Lumer G. On uniqueness and regularity in models for diffusion´type phenomena
with shocks // In Evolution equations, control theory, and biomathematics (Han
sur Lesse, 1991), p.353--359. Dekker, New York, 1994.
[1943] Lumer G. Op'erateurs d''evolution, comparaison de solutions, perturbations et
approximations // C.R. Acad. Sci. Paris S'er. I Math., 301(7): p.351--354, 1985.

################# ######### 157
[1944] Lumer G. Perturbations ``homotopiques''. Perturbations singuli`eres et non sin´
guli`eres de semi´groupes d'op'erateurs et de familles r'esolvantes // C. R. Acad.
Sci. Paris S'er. I Math., 306(13): p.551--556, 1988.
[1945] Lumer G. Probl`emes dissipatifs et ``analytiques'' mal pos'es: solutions et th'eorie
asymptotique // C.R. Acad. Sci. Paris S'er. I Math., 312(11): p.831--836, 1991.
[1946] Lumer G. Semi´groupes irr'eguliers et semi´groupes int'egr'es: application `a
l'identification de semi´groupes irr'eguliers analytiques et r'esultats de g'en'eration
// C.R. Acad. Sci. Paris S'er. I Math., 314(13): p.1033--1038, 1992.
[1947] Lumer G. Singular evolution problems, regularization, and applications to
physics, engineering, and biology // In Linear operators (Warsaw, 1994), p.
205--216. Polish Acad. Sci., Warsaw, 1997.
[1948] Lumer G. Singular problems, generalized solutions, and stability properties //
In Partial differential equations (Han´sur´Lesse, 1993), p.204--216. Akademie´
Verlag, Berlin, 1994.
[1949] Lumer G. Singular transitions and interactions governed by equations of
parabolic type // In Differential equations, asymptotic analysis, and mathe´
matical physics (Potsdam, 1996), p. 192--217. Akademie Verlag, Berlin, 1997.
[1950] Lumer G. Solutions g'en'eralis'ees et semi´groupes int'egr'es // C.R. Acad. Sci. Paris
S'er. I Math., 310(7): p.577--582, 1990.
[1951] Lumer G. Transitions singuli`eres gouvern'ees par des 'equations de type
parabolique // C.R. Acad. Sci. Paris S'er. I Math., 322(8): p.735--740, 1996.
[1952] Lumer G?unter and Neubrander Frank. Asymptotic Laplace transforms and evo´
lution equations// In Evolution equations, Feshbach resonances, singular Hodge
theory, pages 37--57. Wiley´VCH, Berlin, 1999.
[1953] Lumer G., Paquet L. Semi´groupes holomorphes et 'equations d''evolution // C.R.
Acad. Sci. Paris S'er. A´B, 284(4): p237--240, 1977.
[1954] Lumer G., Paquet L. Semi´groupes holomorphes, produit tensoriel de semi´
groupes et 'equations d''evolution // In S'eminaire de Th'eorie du Potentiel, No.
4 (Paris, 1977/1978), p. 156--177. Springer, Berlin, 1979.
[1955] Lumer G., Phillips R.S. Dissipative operators in a Banach space // Pacif. J.
Math.´ 1961.´ 11, 3.´ p. 679´698.

158 ################# #########
[1956] Lumer G., Redheffer R., Walter W. Comportement des solutions d'in'equations
diff'erentielles d'eg'en'er'ees du second ordre, et applications aux diffusions // C.R.
Acad. Sci. Paris S'er. I Math., 294(18): p.617--620, 1982.
[1957] Lumer G., Redheffer R., Walter W. Estimates for solutions of degenerate second´
order differential equations and inequalities with applications to diffusion // Non´
linear Anal., 12(10): p.1105--1121, 1988.
[1958] Lunardi A. A unified approach to semilinear parabolic problems // Dynam. Sys´
tems Appl., 4(1): p.103--123, 1995.
[1959] Lunardy A. Abstract quasilinear parabolic equations // Math. Annal., 1984, 267,
N 3, p. 395´415.
[1960] Lunardi A. An interpolation method to characterize domains of generators of
semigroups // Semigroup Forum, 53(3): p.321--329, 1996.
[1961] Lunardi A. An introduction to geometric theory of fully nonlinear parabolic equa´
tions // In Qualitative aspects and applications of nonlinear evolution equations
(Trieste, 1990), p.107--131. World Sci. Publishing, River Edge, NJ, 1991.
[1962] Lunardi A. Analytic semigroups and optimal regularity in parabolic problems//
Birkh?auser Verlag, Basel, 1995.
[1963] Lunardi A. Asymptotic exponential stability in quasilinear parabolic equations
// Nonlinear Anal., 9(6): p.563--586, 1985.
[1964] Lunardi A. Bounded solutions of linear periodic abstract parabolic equations //
Proc. Roy. Soc. Edinburgh.´ 1988.´ 110, 1´2.´ p. 135´159.
[1965] Lunardi A. Differentiability with respect to (t; s) of the parabolic evolution op´
erator // Israel J. Math., 68(2): p.161--184, 1989.
[1966] Lunardi A. Existence in the small and in the large in fully nonlinear parabolic
equations // In Differential equations and applications, Vol. I, II (Columbus,
OH, 1988), p.170--178. Ohio Univ. Press, Athens, OH, 1989.
[1967] Lunardi A. Global solutions of abstract quasilinear parabolic equations // J.
Differential Equations, 58(2): p.228--242, 1985.
[1968] Lunardi A. Interpolation between spaces of continuous functions // In Trends in
the theory and practice of nonlinear analysis (Arlington, Tex., 1984), p.287--294.
North´Holland, Amsterdam, 1985.

################# ######### 159
[1969] Lunardi A. Interpolation spaces between domains of elliptic operators and spaces
of continuous functions with applications to nonlinear parabolic equations //
Math. Nachr., 121: p.295--318, 1985.
[1970] Lunardi A. Laplace transform methods in integro´differential equations // J. In´
tegral Equations, 10(1´3, suppl.): p.185--211, 1985. Integro´differential evolution
equations and applications (Trento, 1984).
[1971] Lunardi A. Maximal space regularity in nonhomogeneous initial´boundary value
parabolic problem // Numer. Funct. Anal. Optim., 10(3´4): p.323--349, 1989.
[1972] Lunardi A. Neumann boundary stabilization of structurally damped time peri´
odic wave and plate equations // In Differential equations with applications in
biology, physics, and engineering (Leibnitz, 1989), p.241--257. Dekker, New York,
1991.
[1973] Lunardi A. On a class of fully nonlinear parabolic equations // Comm. Partial
Differential Equations, 16(1): p.145--172, 1991.
[1974] Lunardi A. On the evolution operator for abstract parabolic equations // Ins. J.
Math. ´1987, 60, N3.´ p. 281´314.
[1975] Lunardi A. On the linear heat equation with fading memory // SIAM J. Math.
Anal., 21(5): p.1213--1224, 1990.
[1976] Lunardi A. On the local dynamical system associated to a fully nonlinear abstract
parabolic equation // In Nonlinear analysis and applications (Arlington, Tex.,
1986), p.319--326. Dekker, New York, 1987.
[1977] Lunardi A. Regular solutions for time dependent abstract integro´differential
equations with singular kernel // J. Math. Anal. Appl., 130(1): p.1--21, 1988.
[1978] Lunardi A. Schauder estimates for a class of degenerate elliptic and parabolic
operators with unbounded coefficients in r n // Ann. Scuola Norm. Sup. Pisa Cl.
Sci. (4), 24(1): p.133--164, 1997.
[1979] Lunardi A. Schauder theorems for linear elliptic and parabolic problems with
unbounded coefficients in ZZ n // Studia Math., 128(2): p.171--198, 1998.
[1980] Lunardi A. Stability and local invariant manifolds in fully nonlinear parabolic
equations // In Semigroups of linear and nonlinear operations and applications
(Cura?cao, 1992), p.185--203. Kluwer Acad. Publ., Dordrecht, 1993.

160 ################# #########
[1981] Lunardi A. Stability in fully nonlinear parabolic equations // Arch. Rational
Mech. Anal., 130(1): p.1--24, 1995.
[1982] Lunardi A. Stability of the periodic solutions to fully nonlinear parabolic equa´
tions in Banach spaces // Differential Integral Equations. 1 (1988), no. 3, p.
253--279.
[1983] Lunardi A. Stability of the travelling waves in a class of free boundary problems
arising in combustion theory // In Boundary control and boundary variation
(Sophia´Antipolis, 1990), p.285--296. Springer, Berlin, 1992.
[1984] Lunardi A. Stabilizability of time´periodic parabolic equations // SIAM J. Con´
trol Optim., 29(4): p.810--828, 1991.
[1985] Lunardi A. Stabilizability of parabolic equations // Rend. Sem. Mat. Fis. Milano,
59: p.25--35 (1992), 1989.
[1986] Lunardi A. Time analyticity for solutions of nonlinear abstract parabolic evolu´
tion equations // J. Funct. Anal. 71 (1987), no. 2, p. 294--308.
[1987] Lunardi A., Sinestrari E. C ff ´regularity for nonautonomous linear integro´
differential equations of parabolic type // J. Differential Equations, 63(1): p.88--
116, 1986.
[1988] Lunardi A., Sinestrari E. Existence in the large and stability for nonlinear
Volterra equations // J. Integral Equations, 10(1´3, suppl.): p.213--239, 1985.
Integro´differential evolution equations and applications (Trento, 1984).
[1989] Lunardi A., Sinestrari E. Fully nonlinear integro´differential equations in general
Banach space // Math. Z., 190(2): p.225--248, 1985.
[1990] Lunardi A., Sinestrari E., von Wahl W. A semigroup approach to the time depen´
dent parabolic initial´boundary value problem // Differential Integral Equations,
5(6): p.1275--1306, 1992.
[1991] Lunardi A., Vespri V. Generation of strongly continuous semigroups by elliptic
operators with unbounded coefficients in L p (IR n ) // Rend. Ist. Mat. Univ. Trieste
28, Suppl., p. 251´279 (1996).
[1992] Lunardi A., Vespri V. H?older regularity in variational parabolic nonhomogeneous
equations // J. Differential Equations, 94(1): p.1--40, 1991.
[1993] Lunardi A., Vespri V. Optimal L 1 and Schauder estimates for elliptic and
parabolic operators with unbounded coefficients // In Reaction diffusion systems
(Trieste, 1995), p.217--239. Dekker, New York, 1998.

################# ######### 161
[1994] Lutz D. An approximation theorem for cosine operator functions // Math. Repts.
Acad. Aci. Can., 1982, 4, N 6, p. 359 ´ 362.
[1995] Lutz D. Compactness properties of operator cosine functions // C. R. Math.
Rept. Acad. Sci. Canada.´ 1980.´ 2.´ p. 277´280.
[1996] Lutz D. Eigenvalues and essential spectra of operators with A´spectral functions
// Rev. Roumaine Math. Pures Appl., 26(4): p.603--609, 1981.
[1997] Lutz D. On bounded time´dependent perturbations of operator cosine functions
// Aequat. math.´ 1981.´ 23, 2´3.´ p. 197´203.
[1998] Lutz D. Periodische operatorwertige cosinusfunktionen // Result. Math.´ 1981.´
4, 1.´ p. 75´83.
[1999] Lutz D. Some spectral properties of bounded operator cosine functions // Math.
Repts. Acad. Sci. Can.´ 1982.´ 4, 2.´ p. 81´85.
[2000] Lutz D. Strongly continuous operator cosine functions // Functional Analysis,
Lect. Notes Math.´ 1982.´ 948.´ p. 73´97.
[2001] Lutz D. ?
Uber der konvergenz operatorwertiger cosinusfunctionen mit gestortenz
infinitesmalen erzeuger // Period. Math. Hung.´ 1983.´ 14, 1.´ p. 101´105.
[2002] Lutz D. ?
Uber operatorwertiger losungen der functionalgleichung der cosinus //
Math. Z.´ 1980.´ 171.´ p. 233´245.
[2003] Lutz D. Which operators generate cosine functions ? // Acad. Naz. Lincei. Rend.
Cl. Fiz. Mat. Natur.´ 1977.´ 63, 5.´ p. 314´317.
[2004] Lyubich M.Yu., Lyubich Yu.I. Splitting off of the boundary spectrum for al´
most periodic operators and representations of semigroups // E: Teor. Funktsii´
Funktsional. Anal. i´Prilozhen. (1986), No. 45.
[2005] Lyubich Yu. I., Vu Quoc Phong. Asymptotic stability of linear differential equa´
tions in Banach spaces // Stud. Math.´ 1988.´ 88, 1.´ p. 37´42.
[2006] Magyar Z. Continuous linear representations. North´Holland Mathematics Stud´
ies. 168. Amsterdam etc.: North´Holland, vii, 301 p. (1992).
[2007] Maleki A. Semigroups of quasi´compact operators // Semigroup Forum 51, No.3,
p. 273´283 (1995).
[2008] Mandel Y., McCormick S., Ruge Y. An algebraic theory for multigrid methods
for variational problems // SIAM J. Numer. Anal.´ 1988, 25, N1.´ p. 91´110.

162 ################# #########
[2009] Mangino E.M. Some remarks on semigroup theory in locally convex spaces // In
Proceedings of the Third International Conference on Functional Analysis and
Approximation Theory, Vol. II (Acquafredda di Maratea, 1996), number 52, Vol.
II, p.589--604, 1998.
[2010] Marin M. Existence, uniqueness and continuous dependence in thermoelasticity
by using a semigroup of operators // Tsagas, Grigorios (ed.), Proceedings of the
workshop on global analysis, differential geometry and Lie algebras, A ristotle
University of Thessaloniki, Greece, December 16´18, 1995. Bucharest: Geometry
Balkan Press. BSG Proc. 1, p. 39´48 (1997).
[2011] Marino M. Unicita e regolarita della solutione del problema di Cauchy del secondo
ordine // Rend. Circ. Mat. Palermo.´ 1978.´ 27, 1.´ p. 73´94.
[2012] Marschall E. On the functional´calculus of non quazianalitic groups of operators
and cosine functions // Rend. Circ. Mat. Palermo.´ 1986.´ 35, 1.´ p. 58´81.
[2013] Martin R.H.,Jr. Applications of semigroup theory to reaction´diffusion systems.
Collection: Nonlinear semigroups, partial differential equations and attractors
(Washington, D.C., 1985), 108--126 Lecture Notes in Math., 1248, Springer,
Berlin´New York, 1987.
[2014] Martinez C., Sanz M., Marco L. Fractional powers of operators // J. Math. Soc.
Japan, 1988, 40, 2.´ p. 331´347.
[2015] Martinez J., Mazon J.M. C 0 ´semigroups norm continuous at infinity // Semi´
group Forum, 52(2): p.213--224, 1996.
[2016] Martinez J., Mazon J.M. Quasi´compactness of dominated positive operators and
C 0 ´semigroups // Math. Z., 207(1): p.109--120, 1991.
[2017] Masahiro J. On the stabilization of evolutions by feedback with time´delay; An
operator´theoretical approach // J. Fac. Sei. Tokyo.´ 1987, 34, N 1.´ p. 165 ´ 191.
[2018] ter Maten E.J.W. Splitting methods for fourth order parabolic partial differential
equations // Computing.´ 1986, 37, N 1.´ p. 335 ´ 350.
[2019] Matsumoto T. Time´dependent nonlinear perturbations of analytic semigroups
in Banach spaces // Adv. Math. Sci. Appl. 7, No.1, p. 119´163 (1997).
[2020] Matsumoto T., Oharu S., Thieme H.R. Nonlinear perturbations of a class of
integrated semigroups // Hiroshima Math. J., 26(3): p.433--473, 1996.

################# ######### 163
[2021] Mawhin J., Rybakowski K.P. Continuation theorems for semilinear equations in
Banach spaces: a survey // Collection: Nonlinear analysis, p. 367--405, World
Sci. Publishing, Singapore, 1987.
[2022] May Lawrence E. Linear multistep methods: how well are they conditioned nu´
merically // Carleton Math. Ser.´1988, N 223.´ p. 1´10.
[2023] Mazhar S.M., Hamoni A., Faour N.S. Mathematical analysis and its applications.
1988.´ 430 #.
[2024] McBride A.C. A Mellin transform approach to fractional calculus on (0; 1) //
In Fractional calculus (Glasgow, 1984), p. 99--139. Pitman, Boston, Mass., 1985.
[2025] McBride A.C. Connections between fractional calculus and some Mellin multi´
plier transforms // In Univalent functions, fractional calculus, and their appli´
cations (K?oriyama, 1988), p. 121--138. Horwood, Chichester, 1989.
[2026] McBride A.C. Fractional calculus and integral transforms of generalized func´
tions. Pitman (Advanced Publishing Program), Boston, Mass., 1979.
[2027] McBride A.C. Fractional integrals and semigroups // In Semigroups of linear
and nonlinear operations and applications (Cura?cao, 1992), p.205--224. Kluwer
Acad. Publ., Dordrecht, 1993.
[2028] McBride A.C. Fractional powers of a class of Mellin multiplier transforms. I, II,
III // Applicable Anal., 21(1´2): pp.89--127, 129--149, 151--173, 1986.
[2029] McBride A.C. Fractional powers of a class of ordinary differential operators //
Proc. London Math. Soc. (3), 45(3): p.519--546, 1982.
[2030] McBride A. C. Semigroups of linear operators: an introduction. Pitman Research
Notes in Mathematics Series, 156. Longman Scientific & Technical, Harlow; John
Wiley & Sons, Inc., New York, 1987, x+134 pp.
[2031] McBride A.C. The range and invertibility of a class of Mellin multiplier trans´
forms // In Direct and inverse boundary value problems (Oberwolfach, 1989),
p. 169--186. Lang, Frankfurt am Main, 1991.
[2032] McBride A.C., Kerr F. H. On Namias's fractional Fourier transforms // IMA J.
Appl. Math., 39(2): p.159--175, 1987.
[2033] McBride A.C., Roach G. F., editors. Fractional calculus. Pitman (Advanced Pub´
lishing Program), Boston, Mass., 1985. Papers presented at a workshop held at
the University of Strathclyde, Glasgow, August 1984.

164 ################# #########
[2034] McBride A.C., Roach G. F., editors. Recent developments in evolution equa´
tions# Harlow, 1995. Longman Scientific & Technical.
[2035] McBride A.C., Rubin B. Continuity and invertibility of distributional multidi´
mensional fractional integrals // Integral Transform. Spec. Funct., 5(1´2): p.103--
116, 1997.
[2036] McBride A.C., Rubin B. Multidimensional fractional integrals and distributions
// Integral Transform. Spec. Funct., 3(1): p.21--36, 1995.
[2037] McBride A.C., Spratt W. J. A class of Mellin multipliers // Canad. Math. Bull.,
35(2): p.252--260, 1992.
[2038] McBride A.C., Spratt W. J. On the range and invertibility of a class of Mellin
multiplier transforms. I // J. Math. Anal. Appl., 156(2): p.568--587, 1991.
[2039] McBride A.C., Spratt W. J. On the range and invertibility of a class of Mellin
multiplier transforms. III // Canad. J. Math., 43(6): p.1323--1338, 1991.
[2040] McEnnis B. Dilations of holomorphic semigroups // J. Operator Theory, 23(1):
p.21--42, 1990.
[2041] McEnnis B. The characteristic function of a uniformly continuous semigroup //
In Miniconference on harmonic analysis and operator algebras (Canberra, 1987),
p.138--156. Austral. Nat. Univ., Canberra, 1987.
[2042] McIntosh A., Pryde A., Ricker W. Systems of operator equations and perturba´
tion of spectral subspaces of commuting operators // Michigan Math. J.´ 1988,
35, N 1.´ p. 43´65.
[2043] McIntosh A., Yagi A. Operators of type ! without a bounded H1 functional
calculus // In Miniconference on Operators in Analysis (Sydney, 1989), p.159--
172. Austral. Nat. Univ., Canberra, 1990.
[2044] McLaughlin D. J., Lamb W., McBride A.C. A semigroup approach to fragmen´
tation models // SIAM J. Math. Anal., 28(5): p.1158--1172, 1997.
[2045] McLaughlin D. J., Lamb W., McBride A.C. Existence and uniqueness results for
the non´autonomous coagulation and multiple´fragmentation equation // Math.
Methods Appl. Sci., 21(11): p.1067--1084, 1998.
[2046] Medeiros L.A. Remarks on a non´will posed problem // Proc. Roy. Soc. Edinb.´
1986, 102A.´ p. 131 ´ 140.

################# ######### 165
[2047] Megan M., Buse C. Dichotomies and Lyapunov functions in Banach spaces //
Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 37, No.3´4, p. 103´114 (1993).
[2048] Megan Mihail, Pogan Alin. On a theorem of Rolewicz for semigroups of operators
in locally convex spaces. Ann. Math. Blaise Pascal, 7(1):23--35, 2000.
[2049] Megrelishvili M.G. Fragmentability and continuity of semigroup actions // Semi´
group Forum 57, No.1, p. 101´126 (1998).
[2050] Melnikova I.V. Well´posedness of differential´operator problems. I. The Cauchy
problem in spaces of distributions. J. Math. Sci. (New York), 93(1):1--21, 1999.
Functional analysis, 2.
[2051] Melnikova I.V. Properties of the Lions d´semigroups, and generalized well´
posedness of the Cauchy problem// Funktsional. Anal. i Prilozhen., 31(3), p.
23--34, 95, 1997.
[2052] Melnikova I.V., Al'shansky M.A. Well´posedness of Cauchy problem in Banach
space: regular and degenerate cases // Journal Math. Science, 1997, Vol. 87, N
4, p. 3732´3780.
[2053] Melnikova I.V., Anufrieva U.A. and Ushkov V. Yu. Degenerate distribution semi´
groups and well´posedness of the Cauchy problem. Integral Transform. Spec.
Funct., 6(1´4):247--256, 1998. Generalized functions---linear and nonlinear prob´
lems (Novi Sad, 1996).
[2054] Melnikova I. V., Bochkareva S. V. C´semigroups and the regularisation of an ill´
posed Cauchy problem // Russian Academy of Sciences. Doklady. Mathematics
47 (1993), # 2, p. 228--232.
[2055] Melnikova I.V., Filinkov A.I. Well´posedness of differential´operator problems.
II. The Cauchy problem for complete second´order equations in Banach spaces.
J. Math. Sci. (New York), 93(1):22--41, 1999. Functional analysis, 2.
[2056] Menard E., Troallic J.P. Semigroupes de contractions lineares sur C(X): Ir´
reductibilite et theoremes de convergence. (Linear contraction semigroups on
C(X): Irreducibility and convergence theorems) // Semigroup Forum 47, No.1,
p. 87´95 (1993).
[2057] Mercier B. Application of accretive operators theory to the radiative transfer
equations // SIAM J. Math. Anal. 18 (1987), no. 2, p. 393--408.
[2058] Merle F. Une remarque sur la stabilit'e orbitale pour certaines 'equation
d''evolution non lin'eaires // C. R. Acad. Sci. Ser. 1.´ 1988.´ 307, N12.´ p. 689´692.

166 ################# #########
[2059] Mijatovi'c Milorad and Pilipovi'c Stevan. Integrated semigroups and distribution
semigroups---Cauchy problem// Math. Montisnigri, 11:43--65, 1999.
[2060] Miletta P.D. Approximation of solutions to Evolution Equations. Mathematical
Methods in the Applied Sciences, 1994, 17, p. 753´763.
[2061] Miller J.R., Weinstein M.I. Asymptotic stability of solitary waves for the regular´
ized long´wave equation // Commun. Pure & Appl. Math. 49, No.4, p. 399´441
(1996).
[2062] Mills W.H., Jr. Resolvent stability conditions for spectra convergence with ap´
plication to the finite element approximation of noncompact operators // SIAM
J. Numer. Anal. 16 (1979), N 4, p. 695´703.
[2063] Milojevic P.S. Solvability of semilinear equations with strong nonlinearities and
applications to elliptic boundary value problems // Comment. Math. Univ. Car´
olin. 28 (1987), no. 4, p. 735--750.
[2064] Mishura Yu.S., Lavrentiev A.S. Hille´Yosida theorem for resolvent operators of
multi´parameter semigroups // (Ukrainian) Ukr. Mat. Zh. 48, No.1, p. 57´65
(1996).
[2065] Mishura Y., Tomilov Y. On the analytic structure of solutions to higher order
abstract Cauchy problems // Proc. Am. Math. Soc. 126, No.5, 1363´1370 (1998).
[2066] Mitideri E. Some remarks on the asymptotic behavior of the solutions of second
order evolution equations // J. Math. Pure & Appl.´ 1985.´ 107, 1.´ p. 211´221.
[2067] Miyadera I. C´semigroups and semigroups of linear operators // In Differential
equations (Plovdiv, 1991), p.133--143. World Sci. Publishing, River Edge, NJ,
1992.
[2068] Miyadera I. C´semigroups, semigroups and n´times integrated semigroups // In
Differential equations and control theory (Ia?si, 1990), p.193--207. Longman Sci.
Tech., Harlow, 1991.
[2069] Miyadera I. A generalization of the Hille´Yosida theorem // Proc. Jap. Acad.´
1988.´ 64, Ser. A, 7.´ p. 223´226.
[2070] Miyadera I. A note on contraction semi´groups of operators // Tohoku Math. J.
(2), 11: p.98--105, 1959.
[2071] Miyadera I. A note on strongly (C; ff)´ergodic semi´group of operators // Proc.
Japan Acad., 30: p.797--800, 1954.

################# ######### 167
[2072] Miyadera I. A note on strongly ergodic semi´group of operators // K?odai Math.
Sem. Rep., 7: p.55--57, 1955.
[2073] Miyadera I. A perturbation theorem for contraction semi´groups // Proc. Japan
Acad., 42: p.755--758, 1966.
[2074] Miyadera I. A perturbations theory for semigroups of operators // Tohoku Math.
J.´ 1966.´ 18, 1.´ p. 229´310.
[2075] Miyadera I. Generation of semi´groups of nonlinear contractions // J. Math. Soc.
Japan, 26: p.389--404, 1974.
[2076] Miyadera I. Generation of a strongly continuous semi´group operators // Tohoku
Math. J. (2), 4: p.109--114, 1952.
[2077] Miyadera I. Nonlinear mean ergodic theorems // Taiwanese J. Math., 1(4):
p.433--449, 1997.
[2078] Miyadera I. Nonlinear mean ergodic theorems. II // Taiwanese J. Math., 3(1):
p.107--114, 1999.
[2079] Miyadera I. Nonlinear semigroups // American Mathematical Society, Provi´
dence, RI, 1992. Translated from the 1977 Japanese original by Choong Yun
Cho.
[2080] Miyadera I. Note on nonlinear contraction semigroups // Proc. Amer. Math.
Soc., 21: p.219--225, 1969.
[2081] Miyadera I. On one´parameter semi´group of operators // J. Math. Tokyo, 1:
p.23--26, 1951.
[2082] Miyadera I. On perturbation theory for semi´groups of operators // Tohoku
Math. J. (2), 18: p.299--310, 1966.
[2083] Miyadera I. On the convergence of nonlinear semi´groups // Tohoku Math. J.
(2), p.21:221--236, 1969.
[2084] Miyadera I. On the convergence of nonlinear semi´groups. II // J. Math. Soc.
Japan, 21: p.403--412, 1969.
[2085] Miyadera I. On the generation of semi´groups of linear operators // T?ohoku
Math. J. (2), 24: p.251--261, 1972. Collection of articles dedicated to Gen´ichir?o
Sunouchi on his sixtieth birthday.

168 ################# #########
[2086] Miyadera I. On the generation of a strongly ergodic semi´group of operators //
Tohoku Math. J. (2), 6: p.38--52, 1954.
[2087] Miyadera I. On the generators of exponentially bounded C´semigroups // Proc.
Japan Acad. Ser. A Math. Sci., 62(7): p.239--242, 1986.
[2088] Miyadera I. On the generation of strongly ergodic semi´group of operators //
Proc. Japan Acad., 30: p.335--340, 1954.
[2089] Miyadera I. On the generation of strongly ergodic semi´groups of operators. II
// Tohoku Math. J. (2), 6: p.231--242, 1954.
[2090] Miyadera I. On the generators of exponentially bounded C´semigroups // Proc.
Jap. Acad.´ 1986.´ Ser. A.´ 62, 7.´ p. 239´242.
[2091] Miyadera I. On the infinitesimal generators and the asymptotic behavior of non´
linear contraction semigroups // Proc. Japan Acad. Ser. A Math. Sci., 58(1):
p.1--4, 1982.
[2092] Miyadera I. On the infinitesimal generators of nonlinear contraction semigroups
in Banach spaces // In Differential equations and applications, I, II (Russian)
(Ruse, 1985), p.829--836. `Angel Kancev' Tech. Univ., Ruse, 1987.
[2093] Miyadera I. On the representation theorem by the Laplace transformation of
vector´valued functions // Tohoku Math. J. (2), 8: p.170--180, 1956.
[2094] Miyadera I. On the strong asymptotic behavior of asymptotically nonexpansive
semi´groups in Banach spaces // Pliska Stud. Math. Bulgar., 11: p.54--56, 1991.
[2095] Miyadera I. Perturbation theory for semi´groups of operators // Sugaku, 20:
p.14--25, 1968.
[2096] Miyadera I. Semi´groups of operators in Fr'echet space and applications to partial
differential equations // Tohoku Math. J. (2), 11: p.162--183, 1959.
[2097] Miyadera I. Some remarks on semi´groups of nonlinear operators // T?ohoku
Math. J. (2), 23: p.245--258, 1971.
[2098] Miyadera I. Some recent topics on nonlinear semigroups // In Trends in theory
and practice of nonlinear differential equations (Arlington, Tex., 1982), p.375--
381. Dekker, New York, 1984.
[2099] Miyadera I., Kobayasi K. On the asymptotic behaviour of almost´orbits of nonlin´
ear contraction semigroups in Banach spaces // Nonlinear Anal., 6(4): p.349--365,
1982.

################# ######### 169
[2100] Miyadera I., ?
Oharu S. Approximation of semi´groups of nonlinear operators //
Tohoku Math. J. (2), 22: p.24--47, 1970.
[2101] Miyadera I., Oharu S., Okazawa N. Generation theorems of semi´groups of linear
operators // Publ. Res. Inst. Math. Sci., 8: p.509--555, 1972/73.
[2102] Miyadera I., Okubo M., Tanaka N. ff´times integrated semigroups and abstract
Cauchy problems // Mem. School Sci. Engrg. Waseda Univ., (57): p.267--289
(1994), 1993.
[2103] Miyadera I., Okubo M., Tanaka N. On integrated semigroups which are not
exponentially bounded // Proc. Japan Acad. Ser. A Math. Sci., 69(6): p.199--
204, 1993.
[2104] Miyadera I., Tanaka N. A remark on exponentially bounded C´semigroups //
Proc. Japan Acad. Ser. A Math. Sci., 66(2): p.31--34, 1990.
[2105] Miyadera I., Tanaka N. Exponentially bounded C´semigroups and generation of
semigroups // J. Math. Pure & Appl.´ 1989.´ 143, 2.´ p. 358´378.
[2106] Miyadera I., Tanaka N. Generalization of the Hille´Yosida theorem // In Semi´
group theory and evolution equations (Delft, 1989), p.371--381. Dekker, New
York, 1991.
[2107] Miyadera I., Tanaka N. Some remarks on C´semigroups and integrated semi´
groyps // Proc. Japan. Acad.., 63.´ Ser. A.´ p.139´142 (1987). (1) p.371--381.
Dekker, New York, 1991.
[2108] Miyajima S. Generators of positive C´semigroups // Asp. Positiv. Funct. Anal.
Proc. Conf., Tubingen, 24´28 June, 1985, Amsterdam e.a.´ 1986.´ p. 241´246.
[2109] Miyajima S., Ishikawa M. Generalization of Gaussian estimates and interpolation
of the spectrum in L p // SUT J. Math. 31, No.2, p. 161´176 (1995).
[2110] Miyajima S., Okazawa N. Generators of positive C 0 ´semigroups // Pacif. J.
Math.´ 1986.´ 125, 1.´ p. 161´175.
[2111] Molnar S., Szigeti F., Szidarovszky F., Carrera R.,J. On the product of one´
parametric semigroups of operators as the solution of certain time´dependent
parabolic equations // J. Math. Anal. & Appl. 200, No.2, p. 418´436, Art.
No.0214 (1996).
[2112] Monniaux S. A perturbation result for bounded imaginary powers. Arch. Math.
(Basel), 68(5):407--417, 1997.

170 ################# #########
[2113] Monniaux S. A new approach to the Dore´Venni theorem. Math. Nachr.,
204:163--183, 1999.
[2114] Monniaux S. Uniqueness of mild solutions of the Navier´Stokes equation and
maximal L p ´regularity. C. R. Acad. Sci. Paris S'er. I Math., 328(8):663--668,
1999.
[2115] Monniaux S., Pr?uss J. A theorem of the Dore´Venni type for noncommuting
operators. Trans. Amer. Math. Soc., 349(12):4787--4814, 1997.
[2116] Monteiro´Marques M.D.P. Perturbations convexes semi´continues superieure´
ment de problemes d'evolution dans les espaces de Hilbert. [Upper semicontin´
uous convex perturbations of evolution problems in Hilbert spaces]. Collection:
Seminaire d'analyse convexe, Vol. 14 (Montpellier, 1984), Exp. No. 2, 23 pp.
Univ. Sci. Tech. Languedoc, Montpellier, 1984.
[2117] Moret I., Omari P. A projective Newton method for semilinear operator equations
in Banach spaces // IMA J. Numer. Anal. 10 (1990), no. 4, p. 505--520.
[2118] Morosanu G. Second order difference equations of monotone type // Numer.
Funct. Anal. Optim.´ 1979, 1, N 4.´ p. 441 ´ 450.
[2119] Morosanu G. Ecuatii neliniare de evolutie si aplicatii. [Nonlinear evolution equa´
tions and applications]. Analiza Moderna si Aplicatii. [Modern Analysis and Ap´
plications] Editura Academiei Republicii Socialiste Romania, Bucharest, 1986,
208 pp.
[2120] Morosanu G. Nonlinear evolution equations and applications. Romania.´ 1988.´
340pp.
[2121] Muramatu T. Besov spaces and analytic semigroups of linear operators // J.
Math. Soc. Japan, 1990, 42, 1.´ p. 133´146.
[2122] Murio D.A. The mollification method and the numerical solution of the inverse
heat conduction problem by finite differences // Comput. & Math. Appl.´ 1989.´
17, N10.´ p. 1385´1396.
[2123] Muselli E. Osservazione su un teorema di chiusura inferiore per un funzionale di
problemi di controllo astratti // Boll. Unione Mat. Ital.´ 1988, A2, N1.´ p. 91´99.
[2124] Mustafaev L. G. Semigroups of continuous linear transformations // Collection:
Semigroups (Szeged, 1981), p. 163--173 Colloq. Math. Soc. Janos Bolyai, 39,
North´Holland, Amsterdam´New York, 1985.

################# ######### 171
[2125] N'Guerekata G.M. Some remarks on optimal mild solutions of the differential
equation x 0 = Ax+ f in Banach spaces // Riv. Mat. Univ. Parma, 1983, 9, N 4,
p. 145 ´ 151.
[2126] Nagel Rainer. Stability criteria through characteristic equations of linear opera´
tors// Rev. Un. Mat. Argentina, 41(1), p. 91--98, 1998. Dedicated to the memory
of Julio E. Bouillet.
[2127] Nagel A. New proof of von Neumann's theorem // (Russian) Publ. Math. 40,
No. 1/2, p. 71´74 (1992).
[2128] Nagel R. Sobobev´spaces and semigroups. Semester´berichte Functionalanalysis.´
Tubingen, 1983.
[2129] Nagel R. Towards a ''Matrix theory'' for unbounded operator matrices // Math.
Z.´ 1989.´ 201, 1.´ p. 57´68.
[2130] Nagel R. Well posedness and positivity for systems of linear evolution equations
// Conf. Semin. Mat. Univ. Bari.´ 1985.´ 203.´ 29 c.
[2131] Nagel R. What can positivity do for stability ? // Funct. Anal.: Survays and
recent results. III.´ p. 145´154.
[2132] Nagel R. et all. One parameter semigroups of positive operators // Lect. Notes
Math. 1986. N 1184.
[2133] Nagel R., Rhandi A. A characterization of Lipschitz continuous evolution families
on Banach spaces // Huijsmans, #. #. (ed.) et al., Operator theory in function
spaces and Banach lattices. Essays dedicated to A. C. Zaane n on the occasion
of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993. Basel:
Birkhaeuser. Oper. Theory, Adv. Appl. 75, p. 275´288 (1994).
[2134] Nagel R., Senzhong Huang. Spectral mapping Theorems for C 0 ´groups satisfying
non´quasianalitic growth conditions // Math. Nachr. 1994. V.169. p. 207´218.
[2135] Nagel R., Uhlig H. An abstract Kato inequality for generators of positive semi´
groups // J. Oper. Theory.´ 1981.´ 6.´ p. 113´123.
[2136] Nagy B. On cosine operator functions in Banach spaces // Acta Sci. Math.´
1974.´ 36, 3´4.´ p. 281´289.
[2137] Nagy B. Approximation theorems for cosine operator functions // Acta Math.
Acad. Sci Hung.´ 1977.´ 29, 1´2.´ p. 69´76.

172 ################# #########
[2138] Nagy B. Cosine operator functions and the abstract Cauchy problem // Period.
Math. Hung.´ 1976.´ 7, 3´4.´ p. 213´217.
[2139] Nagy B. On the generation of cosine operator functions // Publs. Math.´ 1974.´
21, 1´2.´ p. 151´154.
[2140] Nagy B. Periodic groups of operators in Banach spaces // Proc. Am. Math. Soc.
126, No.5, p. 1433´1444 (1998).
[2141] Nair M.T. A modified projection method for equations of the second kind //
Bull. Austral. Math. Soc., 36(3): p.485--492, 1987.
[2142] Nair M.T. A unified approach for regularized approximation methods for Fred´
holm integral equations of the first kind // Numer. Funct. Anal. Optim., 15(3´4):
p.381--389, 1994.
[2143] Nair M.T. Approximation of spectral sets and spectral subspaces in Banach
spaces // J. Indian Math. Soc. (N.S.), 54(1´4): p.187--200, 1989.
[2144] Nair M.T. Corrigendum and addendum: ``A modified projection method for
equations of the second kind'' [Bull. Austral. Math. Soc. 36 (1987), no. 3, 485--
492; MR 89b:65139] // Bull. Austral. Math. Soc., 40(3): p.487, 1989.
[2145] Nair M.T. On uniform convergence of approximation methods for operator equa´
tions of the second kind // Numer. Funct. Anal. Optim., 13(1´2): p.69--73, 1992.
[2146] Nair M.T., Anderssen R. S. Superconvergence of modified projection method
for integral equations of the second kind // J. Integral Equations Appl., 3(2):
p.255--269, 1991.
[2147] Naito K. Controllability of semilinear control system by feedback control // Proc.
26th IEEE Conf. Decis. and Contr., Los Angeles, Calif.´ N.Y.´ 1987.´ p. 163´164.
[2148] Naito T., Nguyen Van Minh. Evolution semigroups and spectral criteria for al´
most periodic solutions of periodic evolution equations // J. Diff. Equat., 1999,
152, p. 358´376.
[2149] Naito T., Minh N.V., Shin J.S. On a spectral criterion for almost periodicity of
solutions of periodic evolution equations. Electron. J. Qual. Theory Differ. Equ.,
1999:No. 1, 28 pp. (electronic).
[2150] Nakagiri Shin´ichi. Structural properties of functional differential equations in
Banach spaces // Osaka J. Math.´ 1988, 25, N 2.´ p. 353´398.

################# ######### 173
[2151] Nakagiri Shin´ichi, Jamamoto M. Identifiability of linear retarded systems in
Banach spaces // Funkc. Ekvacioj.´ 1988, 31, N 2.´ p. 315´329.
[2152] Nakaguchi E., Saito S., Yagi A. Exponential decay of solutions of linear evolution
equations in a Banach space // Math. Japan., 44(3): p.469--481, 1996.
[2153] Nakaguchi E., Yagi A. Error estimates of implicit Runge´Kutta methods for
quasilinear abstract equations of parabolic type in Banach spaces // Japan. J.
Math. (N.S.), 25(1), p.181--226, 1999.
[2154] Nakamura G., Oharu S. Estimation of multiple Laplace transforms of convex
functions with an application to analytic C´semigroups // Proc. Jap. Acad.´
1986.´ A62, 7.´ p. 253´256.
[2155] Nakamura G., Oharu S. Estimation of multiple Laplace transforms of convex
functions with an application to analytic (C 0 )´semigroups // Proc. Japan Acad.
Ser. A Math. Sci. 62 (1986), no. 7, p. 253--256.
[2156] Nakane K. The Schroedinger operator with random vector potentials // Hokkaido
Math. J. 25, No.1, p. 55´80 (1996).
[2157] Nay Liyi. Control problem for linear system with input derivatives control //
Int. J. Syst. Sci. 1988, 19, N 8. p. 1645´1653.
[2158] Nazarov, V.I. Solvability of differential equations in scales of Banach spaces //
(English. Russian original) Sib. Math. J. 34, No.2, p. 307´319 (1993); translation
from Sib. Mat. Zh. 34, No.2, p. 121´134 (1993).
[2159] Neidhardt H.; Zagrebnov V.A. On error estimates for the Trotter´Kato product
formula // Lett. Math. Phys. 44, No.3, p. 169´186 (1998).
[2160] Nelson S., Triggiani R. Analytic properties of cosine operators // Proc. Amer.
Math. Soc.´ 1979.´ 74.´ p. 101´104.
[2161] N'emeth G. Notes on some estimations in rational approximation, I // Period.
Math. Hung.´ 1988, 19, N 1.´ p.147.
[2162] Neubauer A. Numerical realization of an optimal discrepancy principle for
Tikhonov ´ regularization in Hilbert scales // Computing. ´1987, 39, N 1.´ #.
43´55.
[2163] Neubauer A. Tichonov´regularization of ill´posed linear operator equations on
closed convex sets // J. Appr. Theory.´ 1988, 53, N3.´ p. 304´320.

174 ################# #########
[2164] Neubauer A. When do Sobolew spaces form a Hilbert scale? // Rroc. Amer.
Math. Soc.´ 1988.´ 103, N 2.´ p. 557 ´ 562.
[2165] Neubrander F. Integrated semigroups and their applications to the abstract
Cauchy problem // Pacific J. Math., 135(1): p.111--155, 1988.
[2166] Neubrander F. Laplace transform and asymptotic behavior of strongly continuous
semigroups // Houston J. Math.´ 1986.´ 12, 4.´ p. 549´561.
[2167] Neubrander F. On the relation between the semigroup and its infinitesimal gen´
erator // Proc. Amer. Math. Soc.´ 1987.´ 100, 1.´ p. 104´108.
[2168] Neubrander F. The Laplace´Stieltjes transform in Banach spaces and abstract
Cauchy problems // Clement, Philippe (ed.) et al., Evolution equations, control
theory, and biomathematics. 3rd international workshop´conference, held at the
Han´sur´Lesse Conference Center of the Belgian Ministry of Education. Proceed´
ings. Basel: Dekker, Lect. Notes Pure Appl. Math. 155, p. 417´431 (1993).
[2169] Neubrander F. Well´posedness of abstract Cauchy problems // Semigroup
Forum.´ 1984.´ 29, 1´2.´ p. 75´85.
[2170] Neubrander F. Well ´ posedness of higher order abstract Cauchy problems //
Dissert. T?ubingen. ´ 1984.´ 120 #.
[2171] Neubrander F. Well´posedness of higher order abstract Cauchy problems //
Trans. Amer. Math. Soc.´ 1986.´ 295, 1.´ p. 257´290.
[2172] Ngongo M.E. Some approximating formulae to the solution of an abstract evo´
lution problem // J. Nigerian Math. Soc., 12: p.81--98, 1993.
[2173] Nguyen C.C. Design of reduced´order state estimator for linear time´varying
multivariable systems // Int. J. Contr.´ 1987, 46, N6.´ p. 2113´2126.
[2174] Nguyen Thanh Lan. On nonautonomous higher order Cauchy problems. Preprint,
1998.
[2175] Nguyen Thanh Lan. On the wellposedness of nonautonomous second order
Cauchy problems. Arbeitsberich Functionalanalysis,1998.
[2176] Nickel G. Evolution semigroups for nonautonomous Cauchy problems // Abstr.
Appl. Anal., 2(1´2): p.73--95, 1997.
[2177] Nie Y., Zhou H. Some extensions of the initial value problem for the second order
evolution equations // Appl. Math. Mech.´ 1987.´ 8, 3.´ p. 229´240.

################# ######### 175
[2178] Niechwiej J. A note on cosine functions of unbounded operators defined on the
field of complex numbers // Zesz. Nauk. Uniw. Jagiell., Univ. lagell. Acta Math.
1196(33), p. 95´100 (1996).
[2179] Niechwiej J. Cosine functions of unbounded operators and second order differen´
tial equations // Rad. Mat. 6, No.2, p. 195´204 (1990).
[2180] Niechwiej J. The spectral representation of certain operator cosine functions on
locally compact groups // Zesz. Nauk. Uniw. Jagiell., Univ. Jagell. Acta Math.
1196(33), p. 101´107 (1996).
[2181] Niechwiej J., Szafraniec F.H. Cosine representations of Bochner type // Rend.
Circ. Mat. Palermo, II. Ser. 39, No.3, p. 486´492 (1990).
[2182] Nikolenko N. V. The method of Poincare normal forms in problems of integrabil´
ity of equations of evolution type // Uspekhi´Mat. Nauk 41 (1986), no. 5(251),
p. 109--152, 263.
[2183] Nikolov K., Nikolova L. On semigroups with power singularities // Annuaire´
Univ. Sofia´Fac. Math. Mec. 76 (1982), no. 1, p. 61--73 (1987).
[2184] Nitka´Styczen K. Difference approximation of optimal periodic control problems
// Int. J. Contr.´ 1988, 47, N6.´ p. 1893´1904.
[2185] Nobuyushi F. Positive entire solutions of semilinear elliptic equations // Math.
Ann., 1986, 274, N 1, p. 75´93.
[2186] Nossett S.P. One step methods of Hermite type for numerical integration of stiff
systems // BIT.´ 1974, 14.´ p. 63´77.
[2187] Nossett S.P., Trickett S.R. Order´constrained uniform approximations to the
exponential based on restricted rationals // Constr. Appr.´ 1986, 2.´ p. 189´195.
[2188] Nossett S.P., Wanner G. The real pole sandwich for rational approximations and
oscillations equations // BIT.´ 1979, 19.´ p. 79´84.
[2189] Obrecht E. The Cauchy problem for time´dependent abstract parabolic equations
of higher order // J. Math. Anal. & Appl. 125 (1987), no. 2, p. 508--530.
[2190] Obrecht E. Evolution operators for higher order abstract parabolic equations //
Czechosl. Math. J.´ 1986.´ 36, 111.´ p. 210´222.
[2191] Obrecht E. Phase space for an n´th order differential equation in Banach space
// Semigroup theory and evolution equations, Proc. 2nd Int. Conf., Delft/Neth.
1989, Lect. Notes Pure Appl. Math. 135, p. 391´399 (1991).

176 ################# #########
[2192] Oharu S. A note on the generation of nonlinear semigroups in a locally convex
space // Proc. Japan Acad., 43: p.847--851, 1967.
[2193] Oharu S. Convergence of difference approximations of nonlinear evolution equa´
tion // Math. & Comput. Simul.´ 1987, 29, N6.´ p. 493´501.
[2194] Oharu S. Nonlinear perturbations of analytic semigroups // Semigroup Forum,
42(2): p.127--146, 1991.
[2195] Oharu S. Note on the representation of semi´groups of non´linear operators //
Proc. Japan Acad., 42: p.1149--1154, 1966.
[2196] '
Oharu S. On nonlinear evolution operators // S?ugaku, 30(1): p.55--67, 1978.
[2197] Oharu S. On the convergence of semi´groups of operators // Proc. Japan Acad.,
42: p.880--884, 1966.
[2198] Oharu S. On the generation of semigroups of nonlinear contractions // J. Math.
Soc. Japan, 22: p.526--550, 1970.
[2199] Oharu S. Semigroups of linear operators in a Banach space // Publ. Res. Inst.
Math. Sci., 7: p.205--260, 1971/72.
[2200] Oharu S. The embedding problem for operator groups // Proc. Japan Acad.,
52(3): p.106--108, 1976.
[2201] Oharu S., Takahashi T. Characterization of nonlinear semigroups associated with
semilinear evolution equations // Trans. Amer. Math. Soc.´ 1989.´ 311, N2. ´ c.
593´619.
[2202] Oharu S., Takahashi T. Locally Lipschitz continuous perturbations of linear dissi´
pative operators and nonlinear semigroups // Proc. Amer. Math. Soc. 100 (1987),
no. 1, p. 187--194.
[2203] Oharu S., Sunouchi H. On the convergence of semigroups of linear operators //
J. Functional Analysis, 6: p.292--304, 1970.
[2204] Oharu S., Takahashi T. A convergence theorem of nonlinear semigroups and
its application to first order quasilinear equations // J. Math. Soc. Japan, 26:
p.124--160, 1974.
[2205] Oharu S., Takahashi T. Locally Lipschitz continuous perturbations of linear dis´
sipative operators and nonlinear semigroups // Proc. Amer. Math. Soc., 100(1):
p.187--194, 1987.

################# ######### 177
[2206] Oharu S., Takahashi T. On nonlinear evolution operators associated with some
nonlinear dispersive equations // Proc. Amer. Math. Soc., 97(1): p.139--145,
1986.
[2207] Oharu S., Takahashi T. On some nonlinear dispersive systems and the associated
nonlinear evolution operators // In Recent topics in nonlinear PDE (Hiroshima,
1983), p.125--142. North´Holland, Amsterdam, 1984.
[2208] Oka H. A class of complete second order linear differential equations. Proc. Amer.
Math. Soc., 1999.
[2209] Oka H. Abstract quasilinear integrodifferential equations of hyperbolic type //
S?urikaisekikenky?usho K?oky?uroku, (966): p.41--60, 1996. Joint work with Tanaka
N., Nonlinear evolution equations and their applications (Japanese) (Kyoto,
1995).
[2210] Oka H., Tanaka N. Abstract quasilinear integrodifferential equations of hyper´
bolic type // Nonlinear Anal., 29(8): p.903--925, 1997.
[2211] Oka H., Tanaka N. Nonautonomous integro´differential equations of hyperbolic
type // Differential Integral Equations, 8(7): p.1823--1831, 1995.
[2212] Okamoto K., Oharu S. Nonlinear evolution operators associated with nonlinear
degenerate parabolic equations // Adv. Math. Sci. Appl., 8(2): p.581--629, 1998.
[2213] Okikiolu G.O. L p ´estimates for fractional integrals associated with semigroups
of operators // Bull. Math., (13): p.23--62, 1984.
[2214] Okazawa N. A remark on the infinitesimal generators of C´semigroups // SUT
J. Math., 1989, 25, p. 123--127.
[2215] Okazawa N. A perturbation theorem for linear contraction semigroups on reflex´
ive Banach spaces // Proc. Japan Acad., 47(suppl. II): p.947--949, 1971.
[2216] Okazawa N. A remark on infinitesimal generators of C´semigroups // SUT J.
Math., 25(2): p.123--127, 1989.
[2217] Okazawa N. Abstract quasilinear evolution equations of hyperbolic type with
applications // In Nonlinear analysis and applications (Warsaw, 1994), p.303--
317. Gakk?otosho, Tokyo, 1996.
[2218] Okazawa N. An application of the perturbation theorem for m´accretive operators
// Proc. Japan Acad. Ser. A Math. Sci., 59(3): p.88--90, 1983.

178 ################# #########
[2219] Okazawa N. An application of the perturbation theorem for m´accretive opera´
tors. II // Proc. Japan Acad. Ser. A Math. Sci., 60(1): p.10--13, 1984.
[2220] Okazawa N. On the perturbation of linear operators in Banach and Hilbert spaces
// J. Math. Soc. Japan, 34(4): p.677--701, 1982.
[2221] Okazawa N. Remarks on linear evolution equations of hyperbolic type in Hilbert
space // Adv. Math. Sci. Appl., 8(1): p.399--423, 1998.
[2222] Okazawa N. Sectorialness of second order elliptic operators in divergence form
// Proc. Amer. Math. Soc., 113(3): p.701--706, 1991.
[2223] Okazawa N. Two perturbation theorems for contraction semigroups in a Hilbert
space // Proc. Japan Acad., 45: p.850--853, 1969.
[2224] Okazawa N., Unai A. Abstract quasilinear evolution equations in a Hilbert space,
with applications to symmetric hyperbolic systems // SUT J. Math., 29(2):
p.263--290, 1993.
[2225] Okazawa N., Unai A. Linear evolution equations of hyperbolic type in Hilbert
space // SUT J. Math., 29(1): p.51--70, 1993.
[2226] Okazawa N., Unai A. Singular perturbation approach to evolution equations of
hyperbolic type in Hilbert space // Adv. Math. Sci. Appl., 3(Special Issue):
p.267--283, 1993/94.
[2227] Okikiolu G. O. Correction: ``Generations of `convolution semigroups' of operators
and functions by parameter integrals'' // Bull. Math., 1982(7): p.64.
[2228] Okikiolu G.O. Derivative´type estimates for operators defined in terms of multi´
plicative semigroups // Bull. Math., (13): p.63--82, 1984.
[2229] Okikiolu G. O. Generations of ``convolution semigroups'' of operators and func´
tions by parameter integrals // Bull. Math., 1981/82(6): p.1--29.
[2230] Okikiolu G.O. Operator multiplier representations of semigroups generated by
linear differential operators in Euclidean spaces // Bull. Math., (12): p.55--71,
1984.
[2231] Okikiolu G.O. Semigroups of operators expressible as multipliers of Fourier trans´
form multipliers // Bull. Math., (13): p.1--22, 1984.
[2232] Okikiolu G.O. Semigroups of operators whose generators are defined in terms of
differential and multiplier operators // Bull. Math., (9): p.53--74, 1983.

################# ######### 179
[2233] Ola´Oluwa A.Y. Characterisation of real interpolation spaces between the domain
of the Laplace operator and L
p(\Omega\Gamma7
\Omega polygonal and applications // J. Math.
Pures et Appl.´ 1988, 67, N3.´ p. 263´290.
[2234] Olubummo A. An approximation theorem for semigroup of operators // Portug.
Math., 1981, vol.40, N 4, p. 383´391.
[2235] Olubummo A. (0; A)´semigroups on L p (G) commuting with translations are (C 0 )
// Acta Sci. Math., 1983, 46, p. 323´328.
[2236] Omladic M., Radjavi H. Irreducible semigroups with multiplicative spectral ra´
dius // Linear Algebra Appl. 251, p. 59´72 (1997).
[2237] Osborn J.E. Spectral approximation for compact operators // Math. Comp.,
1975, v.29, N 131.
[2238] Ouchi S. Semigroups of operators in locally convex spaces // J. Math. Soc. Japan
25 (1973), p. 265--276.
[2239] Ouhabaz E.´M., Stollmann P., Sturm K.´T., Voigt J. The Feller property for
absorption semigroups // J. Funct. Anal., 138(2): p.351--378, 1996.
[2240] Palencia C. A stability result for sectorial operators in Banach spaces // In
Proceedings of the XII Congress on Differential Equations and Applications/II
Congress on Applied Mathematics (Spanish) (Oviedo, 1991), p.269--274, Oviedo,
1991. Univ. Oviedo.
[2241] Palencia C. A stability result for sectorial operators in Banach spaces // SIAM
J. Numer. Anal., 30(5): p.1373--1384, 1993.
[2242] Palencia C. Backward Euler method for abstract time´dependent parabolic equa´
tions with variable domains // Numer. Math., 82(3): p.471--490, 1999.
[2243] Palencia C. Maximum norm analysis of completely discrete finite element meth´
ods for parabolic problems // SIAM J. Numer. Anal., 33(4): p.1654--1668, 1996.
[2244] Palencia C. On the stability of variable stepsize rational approximations of holo´
morphic semigroups // Math. Comp., 62(205): p.93--103, 1994.
[2245] Palencia C. Stability of rational multistep approximations of holomorphic semi´
groups // Math. Comp., 64(210): p.591--599, 1995.
[2246] Palencia C., Alonso Mallo I. Abstract initial´boundary value problems // Proc.
Roy. Soc. Edinburgh Sect. A, 124(5): p.879--908, 1994.

180 ################# #########
[2247] Palencia C., Garc'ia´Archilla B. Stability of linear multistep methods for sectorial
operators in Banach spaces // Appl. Numer. Math., 12(6): p.503--520, 1993.
[2248] Palencia C., Piskarev S. On the multiplicative perturbations of C 0 ´groups and
C 0 ´cosine operator functions // Preprint of Department of Math., Report 1998/1,
University of Valladolid, Spain.
[2249] Pap E., Pilipovic S. Semigroups of operators on the space of generalized functions
exp   A 0
// J. Math. Anal. Appl. 126 (1987), no. 2, p. 501--515.
[2250] Papanicolaou G. C., Hersh R. Some limit theorems for stochastic equations and
applications // Indiana Univ. Math. J., 21: p.815--840, 1971/72.
[2251] Paquet Semigroups holomorphes en norme uniforme.
[2252] Pardoux E. Backward stochastic differential equations and viscosity solutions of
systems of parabolic and elliptic PDEs of second order. Preprint, Universit'e de
Marseille (1997).
[2253] Park D.G., Tanabe H. On the asymptotic behavior of solutions of linear parabolic
equations in L 1 space // Ann. della Scuola Norm. Super. di Pisa.´ 1987, 14, N4.´
p. 587´611.
[2254] Parnami J. C., Singh H., Vasudeva H. L. On an exponential´cosine functional
equation // Period. Math. Hung.´ 1988.´ 19,(4).´ p. 287´297.
[2255] Pavel N. H. Perturbation of compact semigroups generators // Libertas´Math. 7
(1987), p. 65--70.
[2256] Pavel N. H. Compact evolution operators // Different. Int. Equat.´ 1989.´ 2, 1.´
p. 57´62.
[2257] Pavel N. Invariant sets for a class of semi´linear equations of evolution //Non´
linear Anal., Theory, Meth. and Appl., 1977, 1, N 2, p. 187 ´ 196.
[2258] Pavel N.H. Nonlinear evolution operators and semigroups. Lecture Notes in
Mathematics, 1260 Applications to partial differential equations. Lecture Notes
in Mathematics, 1260. Springer´Verlag, Berlin´New York, 1987, vi+285 pp.
[2259] Pavel N.H. Periodicity and stability of semigroups via ``? k 2 ae(C k ) ! ? 2 ae(C)''.
In Advances in nonlinear dynamics, p.117--127. Gordon and Breach, Amsterdam,
1997.
[2260] Pavel N. H. Perturbation of compact semigroups generators // Libertas Math.,
7: p.65--70, 1987.

################# ######### 181
[2261] Pavel N. Second order differential equations on cloused subsets of a Banach space
// Boll. U.M.I., 1975, 12, 4, p. 348 ´ 353.
[2262] Pavel N., Jacob F. Invariant sets for a class of perturbed differential equations
of retarded type // Israel J. Math., 1977, 28, N 3, p. 254 ´ 264.
[2263] Pavel N.H., Wang G. S., Huang Y.K. Optimal control problems for some first and
second order differential equations // In Optimal control of differential equations
(Athens, OH, 1993), p.271--279. Dekker, New York, 1994.
[2264] Paycha S. Remarks on deformations of holonomic structures and Q´norms in
infinite dimensions // Albeverio S. (ed.) et al., Stochastic processes, physics and
geometry II. Proceedings of the 3rd international conference held in Locarno,
Switzerland, 24´29 June 1991. Singapore: World Scientific. p. 569´580 (1995).
[2265] Pazy A. A class of semilinear equations of evolution // Isr. J. Math., 1975, 20,
N 1, p. 23 ´ 36.
[2266] Pazy A. Initial value problems for nonlinear differential equations in Banach
spaces // In Nonlinear partial differential equations and their applications.
Coll`ege de France Seminar, Vol. IV (Paris, 1981/1982), p.154--172. Pitman,
Boston, Mass., 1983.
[2267] Pazy A. On the asymptotic behavior of semigroups of nonlinear contractions in
Hilbert space // J. Functional Analysis, 27(3): p.292--307, 1978.
[2268] Pazy A. On the Differentiability and compactness of semi´groups of operators //
J. Math. & Mech., 1968, 17, N 2, p. 1131´1141.
[2269] Pazy A. On the Lyapunov method for evolution equations governed by accretive
operators // In Evolution equations and their applications (Schloss Retzhof,
1981), p. 166--189. Pitman, Boston, Mass., 1982.
[2270] Pazy A. Semigroups of linear operators and applications to partial differential
equations.´ Series: Applied Mathematical Sciences 44, Springer, New York, 1983,
280p.
[2271] Pazy A. Semigroups of operators in Banach spaces // In Equadiff 82 (W?urzburg,
1982), p.508--524. Springer, Berlin, 1983.
[2272] Pazy A. Strong convergence of semigroups of nonlinear contractions in Hilbert
space // J. Analyse Math., 34: p.1--35 (1979), 1978.

182 ################# #########
[2273] Pazy A. The Lyapunov method for semigroups of nonlinear contractions in Ba´
nach spaces // J. Analyse Math., 40: p.239--262 (1982), 1981.
[2274] Pearson J.M. The Poincare inequality and entire functions // Proc. Amer. Math.
Soc. 118, No.4, p. 1193´1197 (1993).
[2275] Pei Kee Lin. A remark on contraction semigroups on Banach spaces // Bull.
London Math. Soc. 1995. V.27. p. 169´172.
[2276] Peichl G., Schappacher W. Constrained controllability in Banach spaces // SIAM
J. Control & Optim.´ 1986, 24, N 6.´ p. 1261 ´ 1275.
[2277] Peng J., Ai W.B. An equivalent characterization of the Hille´Yosida condition
// J. Math. Res. Exposition, 18(1): p.135--140, 1998.
[2278] Peng J.; Chung, S.´K. Laplace transforms and generators of semigroups of oper´
ators // Proc. Am. Math. Soc. 126, No.8, p. 2407´2416 (1998).
[2279] Peng J., Song D., Wang M., Zhu G. The wellposedness of abstract Cauchy prob´
lem and semigroups of operators // J. Syst. Sci. Math. Sci. 18, No.2, p. 225´229
(1998).
[2280] Petkov V. Scattering theory for hyperbolic operators. Notas de Curso [Course
Notes], 24. Universidade Federal de Pernambuco, Departamento de Matematica,
Recife, 1987, viii+315 pp.
[2281] Petrich M., Reilly N.R. Semigroups generated by certain operators on varieties
of completely regular semigroups // Pacific J. Math., 132(1): p.151--175, 1988.
[2282] Petryshyn W.V. Approximation´solvability of nonlinear functional and differen´
tial equations. Marcel Dekker, New York ´ Basel ´ Hong Kong, 1993.
[2283] Petzeltova H., Milota J. Resolvent operator for abstract functional´differential
equations with infinite delay // Numer. Funct. Anal. Optim. 9 (1987), no. 7´8,
p. 779--807.
[2284] Pfeifer D. Approximation´theoretic aspects of probabilistic representations for
operator semigroups // J. Approx. Theory, 43(3): p.271--296, 1985.
[2285] Pfeifer D. On a general probabilistic representation formula for semigroups of
operators // J. Math. Res. Exposition, 2(4): p.93--98, 1982.
[2286] Pfeifer D. Probabilistic concepts of approximation theory in connexion with op´
erator semigroups // Approx. Theory Appl., 1(4): p.93--118, 1985.

################# ######### 183
[2287] Pfeifer D. Some general probabilistic estimations for the rate of convergence in
operator semigroup representations // Appl. Anal., 23(1´2): p.111--118, 1986.
[2288] Pimbley G.´H. Quasilinear systems, semigroups, and nonlinear coupling // Col´
lection: Nonlinear analysis and applications (Arlington, Tex., 1986), p. 463--470
Lecture Notes in Pure and Appl. Math., 109, Dekker, New York, 1987.
[2289] Pindor M. Operator continued fractions and bound states // Il Nuovo cimento.´
1984, 84B, N 2.´ p. 105´119.
[2290] Piskarev S. Approximation of positive C 0 ´semigroups // Differential Equations
27 (1991), N 7, p. 1245--1250.
[2291] Piskarev S.I. Compactness properties in the theory of the cosine operator func´
tions // (English. Russian original) Math. Notes 51, No.5, p. 528´530 (1992);
translation from Mat. Zametki 51, No.5, p. 151´153 (1992).
[2292] Piskarev S. Estimates of rate of convergence in the case of solution of ill´posed
problems for evolution equations // Math. USSR Izvestiya 30 (1988) # 3, p.
639--651.
[2293] Piskarev S. On approximation of holomorphic semigroups // Tartu, Riikl. Ul.
Toimetised (1979), # 492, p. 3--23.
[2294] Piskarev S. On stability of difference schemes in Cauchy problems with almost
periodic solutions // Differential Equations 20 (1984) # 4, p. 689--695.
[2295] Piskar?ev S. Rational approximations of analytic semigroups // In Evolution
equations, control theory, and biomathematics (Han sur Lesse, 1991), p.467--471.
Dekker, New York, 1994.
[2296] Piskarev S., Shaw S.´Y. Multiplicative perturbations of C 0 ´semigroups and some
applications to step responses and cumulative outputs // Chinese J. Math. 1994.
V.22, N. 4. p. 321´336.
[2297] Piskarev S., Shaw S.´Y. Multiplicative perturbations of C 0 ´semigroups and some
applications to step responses and cumulative outputs // J. Func. Anal. 1995.
V.128. N. 2. p. 315´340.
[2298] Piskarev S., Shaw S.´Y. On certain operator families related to cosine operator
functions // Taiwanese J. Math. 1, No.4, p. 527´546 (1997).
[2299] Piskarev S., Shaw S.´Y. On some properties of step responses and cumulative
outputs // Chinese J. Math., 22(4).´ (1994), p. 321´336.

184 ################# #########
[2300] Piskarev S., Shaw S.´Y. Perturbation and comparision of cosine operator func´
tions // Semigroup Forum.´1995.´51.´ N 2.´ p.225´246.
[2301] Piskarev S., Shaw S.´Y. Perturbation of cosine operator functions by step re´
sponse and cumulative output // Proceedings of the conference on evolution
equations.´ University of Strathclyde, July, p. 25´29, 1994.
[2302] Piskarev S., Shaw S.´Y. Perturbation of cosine operator functions by step re´
sponse and cumulative output // McBride, A. C. (ed.) et al., Recent develop´
ments in evolution equations. Proceedings of a meeting held at the University
of Strathclyde, UK, 25´29 July, 1994. Harlow: Longman Scientific & Technical.
Pitman Res. Notes Math. Ser. 324, p. 209´219 (1995).
[2303] Phillips R.S. Perturbation theory for semigroups of linear operators // Trans.
Amer. Math. Soc. 1953. V.74. p.199´221.
[2304] Poffald E.I., Reich S. An incomplete Cauchy problem // J. Math. Anal. and
Appl.´ 1986, 113, N 2.´ p. 514 ´ 543.
[2305] Polites M.E., Beale G.O. Modelling and designing digital control systems with
averaged measurement // Int. J. Contr.´ 1988, 48, N1.´ p. 161´177.
[2306] Ponce G. Global existence of small solutions to class of nonlinear evolution equa´
tions // Nonlinear Anal.: Theory, Meth. and Appl., 1985, 9, N 5, p. 399´418.
[2307] Ponizovskij J.S. Correction to my paper: On a type of matrix semigroup algebras
// Semigroup Forum 48, No.1, 129 (1994).
[2308] Popescu N. Equations differentielles de deuxieme ordre et operateurs hermitien´
equivalents dans les espaces de Banach // Proc. 4´th Conf. Oper. Theory,
Timisoara.´ 1979.´ p. 12´22.
[2309] Popescu N., Preda P. Necessary and sufficient conditions for exponential di´
chotomies in Banach spaces // An. Univ. Timisoara, Ser. St. Mat.´ 1980.´ XVIII,
2.´ p. 131´168.
[2310] Powers R.T. A non spatial continuous semigroup of \Lambda´endomorphisms of B(H)
// Publ. Res. Inst. Math. Sci.´ 1988, 23, N6.´ p. 1053´1069.
[2311] Powoas M. On some Hyperbolie evolution equations with time´dependent singu´
larity // Journ. Diff. Equat. 1985, 60, N 3, p. 369´419.
[2312] Preda P. On a Perron condition for evolutionary processes in Banach spaces //
Bul. Math. Soc. Sci. Math. R. S. Roumanie.´ 1988.´ 32, 1.´ p. 65´70.

################# ######### 185
[2313] Preda P., Megan M. Exponential dichotomy of evolutionary processes in Banach
spaces // Czechosl. Math. J. 1985.´ 35, 2.´ p. 312´323.
[2314] Pritchard A. J. Introduction to semigroup theory // In Analysis and optimiza´
tion of systems: state and frequency domain approaches for infinite´dimensional
systems (Sophia´Antipolis, 1992), p.1--22. Springer, Berlin, 1993.
[2315] A. I. Prilepko and A. B. Kostin. Inverse problems of determining the coefficient
in a parabolic equation. I. Sibirsk. Mat. Zh., 33(3):146--155, 220, 1992.
[2316] A. I. Prilepko and A. B. Kostin. Some inverse problems for parabolic equations
with final and integral observation. Mat. Sb., 183(4):49--68, 1992.
[2317] A. I. Prilepko and A. B. Kostin. An estimate for the spectral radius of an operator
and the solvability of inverse problems for evolution equations. Mat. Zametki,
53(1):89--94, 156, 1993.
[2318] A. I. Prilepko, A. B. Kostin, and I. V. Tikhonov. Inverse problems for evolution
equations. In Ill´posed problems in natural sciences (Moscow, 1991), pages 379--
389. VSP, Utrecht, 1992.
[2319] A. I. Prilepko and D. G. Orlovski?i. Inverse problems for semilinear evolution
equations. Dokl. Akad. Nauk SSSR, 277(4):799--803, 1984.
[2320] A. I. Prilepko and D. G. Orlovski?i. Determination of the parameter of an evolu´
tion equation and inverse problems of mathematical physics. II. Differentsialnye
Uravneniya, 21(4):694--701, 735, 1985.
[2321] A. I. Prilepko and D. G. Orlovski?i. Determination of the parameter of an evolu´
tion equation and inverse problems of mathematical physics. I. Differentsialnye
Uravneniya, 21(1):119--129, 182, 1985.
[2322] A. I. Prilepko and D. G. Orlovski?i. Determination of the evolution of a parameter
in an abstract parabolic equation. Differentsialnye Uravneniya, 27(1):114--120,
181, 1991.
[2323] A. I. Prilepko, D. G. Orlovski?i, and I. A. Vasin. Inverse problems in mathematical
physics. In Ill´posed problems in natural sciences (Moscow, 1991), pages 390--407.
VSP, Utrecht, 1992.
[2324] Prilepko Aleksey I., Orlovsky Dmitry G. and Vasin Igor A. Methods for solving
inverse problems in mathematical physics. Marcel Dekker Inc., New York, 2000.

186 ################# #########
[2325] A. I. Prilepko and V. V. Solovev. Solvability theorems and the Rothe method
in inverse problems for an equation of parabolic type. II. Differentsialnye Urav´
neniya, 23(11):1971--1980, 2022, 1987.
[2326] A. I. Prilepko and V. V. Solovev. Solvability theorems and the Rothe method
in inverse problems for an equation of parabolic type. I. Differentsialnye Urav´
neniya, 23(10):1791--1799, 1837, 1987.
[2327] A. I. Prilepko and I. V. Tikhonov. Uniqueness of the solution of an inverse
problem for an evolution equation and applications to the transfer equation.
Mat. Zametki, 51(2):77--87, 158, 1992.
[2328] A. I. Prilepko and I. V. Tikhonov. An inverse problem with final overdetermina´
tion for an abstract evolution equation in an ordered Banach space. Funktsional.
Anal. i Prilozhen., 27(1):81--83, 1993.
[2329] A. I. Prilepko and I. V. Tikhonov. Reconstruction of the inhomogeneous term in
an abstract evolution equation. Izv. Ross. Akad. Nauk Ser. Mat., 58(2):167--188,
1994.
[2330] Pr?uss J. A note on strict solutions to semilinear evolution equations // Math.
Z., 171(3): p.285--288, 1980.
[2331] Pr?uss J. A positivity method for linear Volterra equations // In Nonlinear
analysis and applications (Arlington, Tex., 1986), p.483--488. Dekker, New York,
1987.
[2332] Pr?uss J. Bounded solutions of Volterra equations // SIAM J. Math. Anal., 19(1):
p.133--149, 1988.
[2333] Pr?uss J. Evolutionary, integral equations and applications. Birkh'auser, Basel,
1993.
[2334] Pr?uss J. Linear evolutionary integral equations on the line // In Evolution
equations, control theory, and biomathematics (Han sur Lesse, 1991), p.485--513.
Dekker, New York, 1994.
[2335] Pr?uss J. Linear hyperbolic Volterra equations of scalar type // In Semigroup
theory and applications (Trieste, 1987), p.367--385. Dekker, New York, 1989.
[2336] Pr?uss J. Maximal regularity of linear vector´valued parabolic Volterra equations
// J. Integral Equations Appl., 3(1): p.63--83, 1991.

################# ######### 187
[2337] Pr?uss J. On linear Volterra equations of parabolic type in Banach spaces //
Trans. Amer. Math. Soc. 301 (1987), no. 2, p. 691--721.
[2338] Pr?uss J. On semilinear evolution equations in Banach spaces // J. Reine Angew.
Math., 303/304: p.144--158, 1978.
[2339] Pr?uss J. On semilinear parabolic evolution equations on closed sets // J. Math.
Anal. Appl., 77(2): p.513--538, 1980.
[2340] Pr?uss J. On the spectrum of C 0 ´semigroups // Trans. Amer. Math. Soc., 284(2):
p.847--857, 1984.
[2341] Pr?uss J. Periodic solutions of semilinear evolution equations // Nonlinear Anal.,
3(5): p.601--612, 1979.
[2342] Pr?uss J. Poisson estimates and maximal regularity for evolutionary integral equa´
tions in L p ´spaces // Rend. Istit. Mat. Univ. Trieste, 28(suppl.): p.287--321
(1997), 1996. Dedicated to the memory of Pierre Grisvard.
[2343] Pr?uss J. Positivity and regularity of hyperbolic Volterra equations in Banach
spaces // Math. Ann.´ 1987.´ 279 (2).´ p. 317´344.
[2344] Pr?uss J. Quasilinear parabolic Volterra equations in spaces of integrable functions
// In Semigroup theory and evolution equations (Delft, 1989), p.401--420. Dekker,
New York, 1991.
[2345] Pr?uss J. Regularity and integrability of resolvents of linear Volterra equations
// In Volterra integrodifferential equations in Banach spaces and applications
(Trento, 1987), p.339--367. Longman Sci. Tech., Harlow, 1989.
[2346] Pr?uss J. Stability of linear evolutionary systems with applications to viscoelas´
ticity // In Differential equations in Banach spaces (Bologna, 1991), p.195--214.
Dekker, New York, 1993.
[2347] Pr?uss J., Schappacher W. Semigroup methods for age´structured population dy´
namics // In Jahrbuch ?
Uberblicke Mathematik, 1994, p.74--90. Vieweg, Braun´
schweig, 1994.
[2348] Pr?uss J., Sohr H. Imaginary powers of elliptic second order differential operators
in L p ´spaces // Hiroshima Math. J., 23(1): p.161--192, 1993.
[2349] Pr?uss J., Sohr H. On operators with bounded imaginary powers in Banach spaces
// Math. Z., 203(3): p.429--452, 1990.

188 ################# #########
[2350] Przadka K. Convergence of one´step difference methods for first order partial
differential´functional equation // Atli Semin. Mat. e. Fis. Muiv. Modena´ 1987,
35, N2.´ p. 263´288.
[2351] Przyluski K.M. Controllability does not imply stabilizability // Syst. and Contr.
Lett.´ 1988, 10, N2.´ p. 119´121.
[2352] Pytlik T. Analytic semigroups in Banach algebras and a theorem of Hille //
Colloq. Math.´ 1987.´ 51.´ p. 287´294.
[2353] Quintanilla R. Instability of the solutions of evolutionary equations using con´
servation laws // J. Math. Anal & Appl.´ 1988.´ 131, 2.´ p. 530´536.
[2354] R?abiger F. Stability and ergodicity of dominated semigroups. II. The strong case
// Math. Ann., 297(1): p.103--116, 1993.
[2355] Racke R. Global solutions to semilinear parabolic systems for small data // J.
Diff. Equat.´ 1988, 76.´ p. 312´338.
[2356] Radic M.V. A note on Hermitian cosine functions in Banach spaces // Rad. Mat.
6, No.1, p. 5´13 (1990).
[2357] Radic M.V., Vajzovic F. On the bounded cosine operator function in Banach
space // Mat. ####.´ 1987.´ 39, 2.´ p. 187´204.
[2358] Radjavi H. Invariant subspaces and spectral conditions on operator semigroups.
Janas J. (ed.) et al., Linear operators. Proceedings of the semester organized at
the Stefan Banach International Mathematical Center, Warsaw, Poland, Febru´
ary 7´May 15, 1994. Warsaw: Polish Academy of Sciences, Inst. of Mathematics,
Banach Cent. Publ. 38, p. 287´296 (1997).
[2359] Raebiger F. Stability and ergodicity of dominated semigroups. II: The strong
case // Math. Ann. 297, No.1, p. 103´116 (1993).
[2360] Raebiger F., Ricker W.J. G 0 ´groups and C 0 ´semigroups of linear operators on
hereditarily indecomposable Banach spaces // Arch. Math. 66, No.1, p. 60´70
(1996).
[2361] Raebiger F., Wolff M.P.H. Superstable semigroups of operators // Indag. Math.,
New Ser. 6, No.4, p. 481´494 (1995).
[2362] Rajarajeswari E. The semigroup of normal singular operators // J. Ramanujan
Math. Soc. 10, No.2, p. 123´140 (1995).

################# ######### 189
[2363] Ramanujam N., Sanandakumari V.M. Singulary perturbed initial value problems
for differential eguations in a Banach space // Indvan J. Pure & Appl. Math.´
1988.´ 19, N 10.´ p. 973´989.
[2364] Rankin III S.M. A remark on cosine families // Proc. Amer. Math. Soc.´ 1980.´
79.´ p. 376´378.
[2365] Rannacher R., Wendland W.L. On the order of pointwise convergence of some
boundary element methods. Part 1. Operators of negative and zero order //
Math. model. & Numer. Anal.´ 1985, vol.19, N 1.´ p. 65 ´ 88.
[2366] Ransford T.J. Norm inequalities for holomorphic semigroups // Isr. J. Math. 97,
p. 157´173 (1997).
[2367] Rao A.S. On the spectrum of an almost periodic solution of a first order in´
finitesimal generator differential equation // Boll. Union Math. Ital.´ 1987.´ 12,
I´A (7), 2.´ p. 207´210.
[2368] Rao A.S. On the Stepanov´bounded solution of a certain nth´order abstract dif´
ferential equation // Indian J. Pure & Appl. Math.´ 1986, 17. N 12.´ p. 1363 ´
1365.
[2369] Rao A.S., Dube L.S. On the spectrum of weakly almost periodic solutions of
certain abstract differential equations // Inter. J. Math. Sci.´ 1985.´ 8, 1.´ p.
109´112.
[2370] Rao A.S., Topuzu P., Popesku N. Some remarks on dissipativity properties of
generators of C´semigroups // An. Univ. Timisoara. Ser. sti. math.´fiz.´ 1986.´
24, 1´2.´ p. 66´82.
[2371] Rassias J.M. Generalized Landau's type inequalities // Rassias J.M. (ed.), Func´
tional analysis, approximation theory and numerical analysis. Dedicated to Ste´
fan Banach on his 100th birthday, Alexander Markowic Ostrowski on his 99th
birthday, Stanislaw Marcin Ulam on his 83rd birthday. Singapore: World Scien´
tific. p. 303´325 (1994).
[2372] Rassias J.M. Landau's type inequalities // Rassias J.M. (ed.), Functional analy´
sis, approximation theory and numerical analysis. Dedicated to Stefan Banach on
his 100th birthday, Alexander Markowic Ostrowski on his 99th birthday, Stanis´
law Marcin Ulam on his 83rd birthday. Singapore: World Scientific. p. 281´301
(1994).
[2373] Rassias J.M. Landau's type inequalities // C. R. Acad. Bulg. Sci. 46, No. 10, p.
9´11 (1993).

190 ################# #########
[2374] Rassias J.M. Landau's type inequalities // J. Math. Anal. Appl. 202, No.1, p.
280´301, Art. No.0317 (1996).
[2375] Rassias J.M. Multi´dimensional Landau inequalities // Rassias J.M. (ed.), Ge´
ometry, analysis and mechanics. Dedicated to Archimedes on his 2281st birthday.
Singapore: World Scientific. p. 287´354 (1994).
[2376] Rassias, J.M. New Landau's type inequalities // Discuss. Math. 14, p. 77´99
(1994).
[2377] Razzaghi M. Solution of the nonsymmetric matrix Riccati eguation in invariant
imbrdding mettods // Curr. Trends Matrix thevey. Rroc. 3´rd Auburn Matr.
thevey Conf., 1987.´ #. 267 ´ 271.
[2378] Rebarber R. L., A Laplace transform relevant to holomorphic semigroups //
Proc. Roy. Soc. Edinburgh´Sect. A . 105 (1987), p. 243--258.
[2379] Reddy A.R. A remark on rational approximation // J. Approxim. Theory.´ 1988,
52, N 1.´ #. 119.
[2380] Reddy A.R. Rational approximation with real negative zeros and poles // J.
Appr. Theory.´ 1988, 54.´ p. 149´154.
[2381] Reghis M., Babescu Gh. Cosine and sine functions valued in Banach algebras
(II): some spectral properties // Ann. Univ. Timisoara. Ser. sti. mat.´fiz.´ 1988.´
26, 1.´ p. 93´96.
[2382] Reilly N.R., Zhang S. Operators and products in the lattice of existence varieties
of regular semigroups // Semigroup Forum 53, No.1, p. 1´24 (1996).
[2383] Reilly N. R.; Zhang S. Operators on the lattice of pseudovarieties of finite semi´
groups // Semigroup Forum 57, No.2, p. 208´239 (1998).
[2384] Reilly N.R., Zhang S. Corrigendum: Operators and products in the lattice of ex´
istence varieties of regular semigroups. Semigroup Forum 53, No.2, 270p. (1996).
[2385] Renaut ´ Williamson R.A. Full discretization of u tt = u xx and rational approxi´
mations to cosh?z // SIAM J. Numer. Anal.´ 1989, 26, N 2.´ p. 338´347.
[2386] Renaut´Williamson R.A. Semidescretizations of U tt = U xx and rational aproxi´
mations to (lnz) 2 // SIAM J. Numer. Anal. ´1989.´ 26, N2.´ p. 320´337.
[2387] Ressel P.; Ricker, W.J. Semigroup representations, positive definite functions and
abelian C \Lambda ´algebras // Proc. Am. Math. Soc. 126, No.10, p. 2949´2955 (1998).

################# ######### 191
[2388] Ribagorda A., Vega C. On rational approximation to semigroups of linear oper´
ators // Numer. Appl. to Part. Diff. Equat.´ 1987, vol.133.´ p. 293 ´ 296.
[2389] Ricker W. J. Examples of stable C 0 ´semigroups // Acta Univ. Carolin. Math.
Phys., 33(2): p.121--128, 1992.
[2390] Ricker W.J. Integral transforms of vector measures on semigroups with applica´
tions to spectral operators // Semigroup Forum 45, No.3, p. 342´363 (1992).
[2391] Ricker W. Semigroups of operators and an application to spectral theory //
Math. Proc. Cambridge Philos. Soc., 96(1): p.143--149, 1984.
[2392] Ricker W. J. Spectral properties of the Laplace operator in L p (IR) // Osaka J.
Math.´ 1988.´ 25.´ p. 399´410.
[2393] Robinson D. W. Basic theory of one´parameter semigroups // Proc. Cent. Math.
Anal., Austral. Nat. Univ.´ 1982. 2.
[2394] Robinson D. W. The approximation of flows // J. Func. Anal. 1977. V.24. p.
280´290.
[2395] Robinson G.K. A method of accelerating stationary iterative methods for solving
linear systems // J. Austr. Math. Soc.´ 1988, B30, N1.´ p. 1´23.
[2396] Rockswold G.K., Fisher A.L. Implementation of ff´type multistep methods for
stiff differential eguations // J. Comput. & Appl. Math. ´ 1988, 22, N 1.´ p. 63´69.
[2397] Rodionov V.I. Semigroup integral equations. (Polugruppovye integral'nye urav´
neniya). (Russian. English summary) Izhevsk: Izdatel'stvo Udmurtskogo Univer´
siteta. 124 p. (1995).
[2398] Rodman L. Structure of infinite´dimensional stable canonical equations with pe´
riodic coefficients // J. Differential Equations 68 (1987), no. 2, p. 221--237.
[2399] Rodrigues H.M., Silveira M. Properties of bounded solutions of linear and non´
linear evolution equations: homoclinics of a beam equation // J. Differential´
Equations 70 (1987), no. 3, p. 403--440.
[2400] Roeckner M., Zhang T.´S. Convergence of operators semigroups generated by
elliptic operators // Osaka J. Math. 34, No.4, p. 923´932 (1997).
[2401] Roeckner M., Zhang T.´S. On the strong Feller property of the semigroups gen´
erated by non´divergence operators with L p ´drift // Decreusefond L. (ed.) et
al., Stochastic analysis and related topics VI. Proceedings of the 6th Oslo´Silivri

192 ################# #########
workshop, Geilo, Norway, July 29´August 6, 1996. Boston, MA: Birkhaeuser.
Prog. Probab. 42, p. 401´408 (1998).
[2402] Rosa R. Conjugacy of strongly continuous semigroups generated by normal op´
erators // J. Dyn. Differ. Equations 7, No.3, p. 471´490 (1995).
[2403] Rostamian R., Siedman T.I.,Nambu T. Feedback control for an abstract
parabolic equation // p.408´416.
[2404] Rosum H. Van. On the successive Pade remainders of exp(x) // L. Appr. Theory.´
1987, 50, N 2.´ p. 294 ´ 296.
[2405] Ruban A.A. Constructions of semigroups of operators given norms // (English.
Russian original) Sib. Math. J. 36, No.2, p. 348´353 (1995); translation from Sib.
Mat. Zh. 36, No.2, p. 397´403 (1995).
[2406] Ruban An.A. On the geometry of semigroups // (Russian) Bokuf, L. A. (ed.)
et al., Siberian conference on applied and industrial mathematics dedicated to
the memory of L. V. Kantorovich. Vol. 1. Novosibirsk (Russia), July 25´29, 1994.
Novosibirsk: Izdatel'stvo Instituta Matematiki SO RAN. p. 213´221 (1997).
[2407] Ruess W.M., Summers W.H. Almost periodicity and stability for solutions to
functional´differential equations with infinite delay // Differential Integral Equa´
tions, 9(6): p.1225--1252, 1996.
[2408] Ruess W. M., Summers W. H. Asymptotic almost periodicity and motions
of semigroups of operators. Proceedings of the symposium on operator theory
(Athens, 1985). // Linear´Algebra´Appl. 84 (1986), p. 335--351.
[2409] Ruess W.M.; Summers W.H. Ergodic theorems for semigroups of operators //
Proc. Am. Math. Soc. 114, No.2, p. 423´432 (1992).
[2410] Ruess W.M., Vu Quoc Phong. Asymptotically almost periodic solutions of evo´
lution equations in Banach spaces // J. Differ. Equations 122, No.2, p. 282´301
(1995).
[2411] Ruiz´Claeyssen J. On the approximation of strongly continuous second order
dynamic families // 2das Jornadas Lat. Amer. Mat. Apl., Rio de Janeiro, s.a.,
1983, vol.1, p. 304 ´ 318.
[2412] Ruiz Goldstein G., Goldstein J.A., Obrecht E. Structure of solutions to linear
evolution equations: Extensions of d'Alembert's formula // J. Math. Anal. Appl.
201, No.2, p. 461´477, Art. No.0267 (1996).

################# ######### 193
[2413] Ruymgaart P.A., Soong T.T. Mathematics of Kalman Bycy filtering // 1988.´
170 p.
[2414] Sablik M. Generating solution of some Cauchy and cosine functional equations
// Aequat. Math.´ 1987.´ 32, 2´3.´ p. 216´226.
[2415] Sacker R.J., Sell G.R. Dichotomies for linear evolutionary equations in Banach
spaces // J. Differ. Equations 113, No.1, p. 17´67 (1994).
[2416] Sager H.C. Semilinear second order evolution equations of compact type with
regular boundary conditions // Nonlinear Anal., Theory, Meth. & Appl., 1985,
N 1, p. 79 ´ 101.
[2417] Saif M. S. Some spectral properties of m´accretive differential operators // J.
Appl. Math. Phis.´ 1988.´ 39, 6.´ p. 945´951.
[2418] Salamon D. Infinite´dimensional linear systems with unbounded control and ob´
servation: a functional analytic approach // Trans. Amer. Math. Soc. 300 (1987),
no. 2, p. 383--431.
[2419] Sandefur J.T.Jr. Existence and uniqueness of solutions of second order nonlinear
differential equations // SIAM J. Math. Anal., 1983, 14, N 3, p. 477´487.
[2420] Sandefur J. T. Higher order abstract Cauchy problems // J. Math. Anal. &
Appl.´ 1977.´ 60, 3.´ p. 728´742.
[2421] Sanz´Serna J.M., Palencia C. A general equivalence theorem in theory of dis´
cretization methods // Math. of Comput.´ 1985, vol.45, N 171.´ p. 143´152.
[2422] Sanz´Serna J.M., Verwer J.G., Hundsdorfer W.H. Convergence and order re´
duction of Runge´Kutta schemes applied to evolutionary problems in partial
differential equations // Numer. Math.´ 1986, 50, N 4.´ p. 405´418.
[2423] Sarapa N. A note on the cosine equation for probability on compact semigroups
// Glas. Mat.´ 1980.´ 15.´ p. 383´385.
[2424] Sato R. On a mean ergodic theorem // Proc. Amer. Math. Soc.´ 1981.´ 83, 3.´
p. 563´564.
[2425] Sauer N., Singleton J.E. Evolution operators related to semigroups of class (A)
// Semigroup´Forum 35 (1987), no. 3, 317--335.
[2426] Schaefer H.H. Banach lattices and positive operators // Shpringer, 1974.´ 376p.

194 ################# #########
[2427] Schaefer H. H., Existence of spectral values for irreducible C 0 ´semigroups // J.
Funct. Anal. 74 (1987), no. 1, p. 139--145.
[2428] Schaffer J.J. Exponential dichotomies for linear differential equations with delaus:
periodic and autonomous equations // Ann. Mat. Pura ed Appl., 1984, N 138,
p. 105´149.
[2429] Schanbacher T. Asymptotic behaviour of positive semigroups // Math. Z. 195
(1987), no. 4, p. 481--485.
[2430] Schechter E. Sharp convergence rates for nonlinear product formulas // Math.
of Comput. 1984, 43, N 167, p. 135´155.
[2431] Schechter M., Whitley R. Best Fredholm perturbation theorems // Stud. math.´
1988.´ 90, 3.´ p. 175´190.
[2432] Schechter E. Compact perturbations of linear M´dissipative operators which lack
Gihman's property // Collection: Nonlinear semigroups, partial differential equa´
tions and attractors (Washington, D.C., 1985), p. 142--161 Lecture Notes in
Math., 1248, Springer, Berlin´New York, 1987.
[2433] Schechter M. Spectra of partial differential operators. North´Holl, 1986, vol.14,
310 p.
[2434] Schep A.R. Weak Kato´inequalities and positive semigroups // Math. Z.´ 1985.´
190.´ 3.´ p. 305´314.
[2435] Schiaffino A., Tesei A. Linearized stability results in continuous interpolation
spaces // Anali Sckola Normal. 1984, 7, N 2, p. 281 ´ 301.
[2436] Schneider K.R. On quasicenter manifolds of semilinear equations in Banach
spaces // Math.´Nachr. 122 (1985), p. 215--229.
[2437] Schock E., V~u Qu?oc Ph'ong. Regularization of ill´posed problems involving un´
bounded operators in Banach spaces // Hokkaido Math. J., 20(3): p.559--569,
1991.
[2438] Schuchman V. Abnormal solutions of evolution equations // Integral Equations
Oper. Theory 28, No.2, p. 214´237 (1997).
[2439] Schuchman V. On the existence of flat solutions for partial differential equations
of the first order // J. Diff. Equations, 1986, 62, N 1, p. 117´128.
[2440] Schwachhoefer M. Automorphisms of linear semigroups over division rings //
Semigroup Forum 53, No.3, p. 330´345 (1996).

################# ######### 195
[2441] Sedov'a L. Parabolic equations with deviating argument in advance // Comment.
Math. Univ. Carol.´ 1987, 28, N4.´ p. 613´628.
[2442] Seidman T.I. Approximation of operator semigroups // J. Funct. Anal., 1970, 5,
p. 160´166.
[2443] Seifert G. Almost periodic solutions for linear differential equations in Banach
spaces // Funct. Ekvac.´ 1985.´ 28, 3.´ p. 309´325.
[2444] Sell G., Shen W., Yi Y. Topological dynamics and differential equations //
Nerurkar, M. G. (ed.) et al., Topological dynamics and applications. A volume in
honor of Robert Ellis. Proceedings of a conference in honor of the retirement of
Robert Ellis, Minneapolis, MN, USA, April 5´6, 1995. Providence, RI: American
Mathematical Society. Contemp. Math. p.215, 279´297(1998).
[2445] Senba T. On some nonlinear evolution equation // Funkcial. Ekvac. 29 (1986),
no. 3, p. 243--257.
[2446] Senzhong H. An equivalent description of non´quasianalyticity through spectral
theory of C 0 ´groups // J. Operator Th. 1994. V.32. p. 299´309.
[2447] Serbin S.M. On a fourth´oreder unconditionally stable scheme for damped
second´order systems // Comput. Meth. in Appl. Mech. and Engin.´ 1980, 23.´
p. 333 ´ 340.
[2448] Serbin S.M. Rational approximations of trigonometric matrices with application
to second´order systems of differential equations // Appl. Math. and Comp.´
1979, 5, N 1.´ p. 75 ´ 92.
[2449] Serbin S.M., Fisher A.L. A post´processor for the cosine method // SIAM J. Sci.
and Statist. Comput.´ 1988, 9, N1.´ p. 14´23.
[2450] Serisawa H., Watanabe M. Perturbations for cosine families in Banach spaces //
Houston J. Math.´ 1986.´ 12, 1.´ p. 117´124.
[2451] Serisawa H., Watanabe M. Time dependent perturbations for cosine families //
Houston J. Math.´ 1986.´ 12, 4.´ p. 579´586.
[2452] Serizawa H. Representation formulas for integrated semigroups and sine families
// Aequationes Math. 44, No.2/3, p. 278´291 (1992).
[2453] Serizawa H., Watanabe M. Time´dependent perturbation for cosine families in
Banach spaces // Houston´J. Math. 12 (1986), no. 4, p. 579--586.

196 ################# #########
[2454] Setti A.G. L p \Gamma L r estimates for the Poisson semigroup on homogeneous trees //
J. Aust. Math. Soc., Ser. A 64, No.1, p. 20´32 (1998).
[2455] Seubert S.M. Semigroups of finite convolution operators // J. Math. Anal. Appl.,
141(1): p.248--263, 1989.
[2456] Sforza D. On the Hille´Yosida theorem for integro´differential equations in Ba´
nach spaces // Boll. Un. Mat. Ital. C (6) 5 (1986), no. 1, 169--173 (1987).
[2457] Shalaby M.A. Upper bounds on the error when computing the matrix exponential
andrelated aspect //ASM'86: Appl. Simulat. and Modell.: Proc. IASTED Int.
Conf., Vancouver, Yum 4´6, 1989.´ Anaheim (Calif.) ´ p. 223´225.
[2458] Sharma S. On groups of subnormal operators // Math. Stud. 58, No.1´4.´ p.
181´184 (1991).
[2459] Shaw S.´Y. Abstract ergodic theorems // In Proceedings of the Third Inter´
national Conference on Functional Analysis and Approximation Theory, Vol. I
(Acquafredda di Maratea, 1996), number 52, Vol. I, p.141--155, 1998.
[2460] Shaw S.´Y. Approximation of unbounded functions and applications to represen´
tations of semigroups // J. Approx. Theory.´ 1980.´ 28, 2.´ p. 238´259.
[2461] Shaw S.´Y. Asymptotic behavior of cosine operator sequences // In Trends in
probability and related analysis (Taipei, 1996), p.257--264. World Sci. Publishing,
River Edge, NJ, 1997.
[2462] Shaw S.´Y. Asymptotic behavior of pseudoresolvents on some Grothendieck
spaces // Publ. Res. Inst. Math. Sci., 24(2): p.277--282, 1988.
[2463] Shaw S.´Y. Convergence rates of ergodic limits and approximate solutions // J.
Approx. Theory, 75(2): p.157--166, 1993.
[2464] Shaw S.´Y. Ergodic limits of tensor product semigroups // J. Math. Anal. Appl.,
76(2): p.432--439, 1980.
[2465] Shaw S.´Y. Ergodic projections of continuous and discrete semigroups // Proc.
Amer. Math. Soc., 78(1): p.69--76, 1980.
[2466] Shaw S.´Y. Ergodic properties of operator semigroups in general weak topologies
// J. Funct. Anal., 49(2): p.152--169, 1982.
[2467] Shaw S.´Y. Ergodic properties of operator semigroups in general weak topologies
// J. Funct. Anal.´ 1982.´ 49, 2.´ p. 152´169.

################# ######### 197
[2468] Shaw S.´Y. Ergodic theorems for semigroups of operators on a Grotendick space
// Proc. Jap. Acad.´ 1983.´ Ser. A.´ 59, 4.´ p. 132´135.
[2469] Shaw S.´Y. Mean and pointwise ergodic theorems for cosine operator functions
// Math. J. Okajama Univ.´ 1985.´ 27, Dec.´ c. 197´203.
[2470] Shaw S.´Y. Mean ergodic theorems and functional equations // J. Funct. Anal.
1989. V.87. p. 428´441.
[2471] Shaw S.´Y. Non´optimal rates of ergodic limits and approximate solutions // J.
Approx. Theory, 94(2): p.285--299, 1998.
[2472] Shaw S.´Y. On w \Lambda ´continuous cosine operator functions // J. Funct. Anal., 66(1):
p.73--95, 1986.
[2473] Shaw S.´Y. On Ces`aro and Abel limits of C´semigroups // Soochow J. Math.,
20(4): p.547--553, 1994. Dedicated to the memory of Professor Tsing´Houa Teng.
[2474] Shaw S.´Y. On numerical ranges of generalized derivations and related properties
// J. Austral. Math. Soc. Ser. A, 36(1): p.134--142, 1984.
[2475] Shaw S.´Y. On the range of a closed operator // J. Operator Theory, 22(1):
p.157--163, 1989.
[2476] Shaw S.´Y. On uniform ergodic theorems in Grothendieck spaces with the
Dunford´Pettis property // Houston J. Math. 20, No.2, p. 313´320 (1994).
[2477] Shaw S.´Y. On w*´continuous cosine operator functions // J. Funct. Anal.´ 1986.´
66, 1.´ p. 73´95.
[2478] Shaw S.´Y. Solvability of linear functional equations in Lebesgue spaces // Publ.
Res. Inst. Math. Sci., 26(4): p.691--699, 1990.
[2479] Shaw S.´Y. Some exponential formulas for m´parameter semigroups // Bull. Inst.
Math. Acad. Sinica, 9(2): p.221--228, 1981.
[2480] Shaw S.´Y. Uniform convergence of ergodic limits and approximate solutions //
Proc. Am. Math. Soc. 114, No.2, p. 405´411 (1992).
[2481] Shaw S.´J. Uniform ergodic theorems for locally integrable semigroups and
pseudo´resolvents //Proc. Amer. Math. Soc.´ 1986, vol.98, N 1.´ p. 61´67.
[2482] Shaw S.´Y. Uniform ergodic theorems for operator semigroups // Proc. Anal.
Conf., Singapur, 12´21 June, 1986.´ Amsterdam etc, 1988.´ p. 261´265.

198 ################# #########
[2483] Shaw S.´Y., Kuo Ch.´ Ch. Local C´semigroups and the abstract Cauchy problems
// Preprint, 1996.
[2484] Shaw S.´Y., Lee C.´S., Chiou W.´L. Representation formulas for cosine and sine
functions of operators, II // Aequat. Math.´ 1986.´ 31, 1.´ p. 64´75.
[2485] Shaw S.´Y, Li Y.´C. Generalization of Baire and Mittag´Leffler theorems // In
Functional analysis & related topics (Sapporo, 1990), p. 138--140. World Sci.
Publishing, River Edge, NJ, 1991.
[2486] Shaw S.´Y, Li Y.´C. On n´times integrated C´cosine functions // In Evolution
equations (Baton Rouge, LA, 1992), p.393--406. Dekker, New York, 1995.
[2487] Shaw S.´Y, Li Y.´C. Representation formulas for C´semigroups // Semigroup
Forum 46, No.1, p. 123´125 (1993).
[2488] Shaw S.´Y., Lin C.S.C. A sufficient condition for con´
vergence of lim t!\Sigma1 t \Gamma1 R t
0 exp(\GammaÜ T )A exp(ÜS)dÜ for unbounded operators S
and T . Bull. Inst. Math. Acad. Sinica, 8(2´3, part 2):401--406, 1980.
[2489] Shaw S.´Y., Lin S.C. On the equations Ax = Q and SX \Gamma XT = Q // J. Funct.
Anal.´ 1988, 77, N2.´ p. 352´363.
[2490] Shaw S.´Y., Piskarev S. Asymptotic behaviour of semigroup´related functions //
Saitama Math. J. 1994.´ 12. p. 7´12.
[2491] Shaw S.´Y., Yeh C.C. Rates for approximation of unbounded functions by posi´
tive linear operators // J. Approx. Theory, 57(3): p.278--292, 1989.
[2492] Shimizu M., Miyadera I. Perturbation theory for cosine families on Banach spaces
// Tokyo J. Math.´ 1978.´ 1, 2.´ p. 333´343.
[2493] Shin Y.S. Global convergence of successive approximations of solutions for func´
tional differential equations with infinite delay // Tohoku Math. J.´ 1987, 39,
N4.´ p. 557´574.
[2494] Shklyar A.Ya. Complete second order linear differential equations in Hilbert
spaces // Operator theory Advanced and Appl., V.92, Biruh?auser, 1997.
[2495] Shneperman L.B. On maximal compact subsemigroups of the endomorphism
semigroup of an n´dimensional complex vector space // Semigroup Forum 47,
No.2.´ p. 196´208 (1993).
[2496] Siddiqi S.S., Twizell E. H. Spline solutions of linear twelfth´order boundary´value
problems // J. Comput. Appl. Math., 78(2): p.371--390, 1997.

################# ######### 199
[2497] Silchenko Yu.T. On a class of semigroups // Collection: Operator equations in
function spaces (Russian), 80--91, p. 134--135. Voronezh. Gos. Univ., Voronezh,
1986.
[2498] Simon B. Schrodinder semigroups on the scale of Sobolev spaces // Pacif. J. of
Math.´ 1986, vol.122, N 2.´ p. 475´480.
[2499] Simonic A. Matrix groups with positive spectra // Linear Algebra Appl. 173, p.
57´76 (1992).
[2500] Sinesfrary E. An integrodifferential equation arising from the theory of nonlinear
heat flow with memory // Nonlin. Parab. Equat.: Quat. prop. solutions: Proc.
Conf. Rome ´ 1987.´ p. 207´218.
[2501] Sinestrari E. On a class of retarded partial differential equations // Math. Z.,
1984, 186, N 2, p. 223´246.
[2502] Sinestrari E. On the abstract Cauchy problem of parabolic type in spaces of
continuous functions // J. Math. Anal. & Appl.´ 1985.´ 107.´ 1.´ p. 16´66.
[2503] Singh H., Buche A.B. On the generation theorem for the modified exponential´
cosine operator // Indian J. Pure Appl. Math. 1980. V.11. p. 368´383.
[2504] Singh H., Vasudeva H.L. Exponential´cosine operator´valued functional equation
in the strong operator topology // Aequat. Math.´ 1984.´ 27, 1´2.´ p. 187´197.
[2505] Singleton G. Asymptotically exact estimates for metastable Markov semigroups
// Quart. J. Math. Oxford., 1984, 35, N 139, p. 321´329.
[2506] Siskakis A.G. On a class of composition semigroups in Hardy spaces // J. Math.
Anal. Appl., 127(1): p.122--129, 1987.
[2507] Siskakis A.G. Semigroups of composition operators in Bergman spaces // Bull.
Austral. Math. Soc. 35 (1987), no. 3, p. 397--406.
[2508] Siskakis A.G. Semigroups of composition operators on the Dirichlet space //
Result. Math. 30, No.1´2, p. 165´173 (1996).
[2509] Siskakis A.G. Semigroups of composition operators on spaces of analytic func´
tions, a rewew // Jafari F. (ed.) et al. Proceedings of the Rocky Mountain Math.
Cons., Laramie, WY, USA, July 8´19, 1966. Providence, RI: American Math.
Soc. Contemp. Math. 213.´ 1998.´ p. 229´252. p. 165´173 (1996).

200 ################# #########
[2510] Skorokhod A.V. The linear operator´valued stochastic equations // Stochastic
differential systems (Bad Honnef, 1985), p. 342--351 Lecture Notes in Control
and Inform. Sci. 78, Springer, Berlin´New York, 1986.
[2511] Slemrod M. Asymptotic behavior of C´semigroups as determined by the spectrum
of the generator // Indiana Univ. Math. J.´ 1976.´ 25, 8.´ p. 783´792.
[2512] Slemrod M. Continuum mechanics and semigroups: an introduction. Collection:
Semigroups, theory and applications, Vol. II (Trieste, 1984), 234--252 Pitman
Res. Notes Math. Ser., 152, Longman Sci. Tech., Harlow, 1986.
[2513] Sloan I.H., Thomie V. Superconvergence of the Galerkin iterates for integral
equations of the second kind // J. Integral Equations, 9(1): p.1--23, 1985.
[2514] Sloan I.H., Thomie V. Time discretization of an integrodifferential equation of
parabolic type // SIAM J. Numer. Anal.´ 1986, 23, N 5.´ p. 1052´1061.
[2515] S/loci'nski M. A note on semigroups of the C ae class // Zeszyty Nauk. Uniw.
Jagiello'n. Prace Mat., (23): p.189--190, 1982.
[2516] Smits L., van Casteren J.A. Semigroups defined by additive processes // In
Semigroup theory and evolution equations (Delft, 1989), p.463--482. Dekker, New
York, 1991.
[2517] Socolovsky E.A. Difference schemes for degenerate parabolic equations // Math.
Comput.´ 1987, 47, N 176.´ p. 411´420.
[2518] Sobolevski?i P.E. Boundedness of functions of positive operators // In Evolution
equations, control theory, and biomathematics (Han sur Lesse, 1991), p.545--552.
Dekker, New York, 1994.
[2519] Sobolevski?i P.E. Dependence of fractional powers of elliptic operators on bound´
ary conditions // Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei
(9) Mat. Appl., 3(2): p.75--78, 1992.
[2520] Sobolevski?i P.E. Hardy's inequality for the Stokes problem // In Proceedings
of the Second World Congress of Nonlinear Analysts, Part 1 (Athens, 1996),
volume 30, p.129--145, 1997.
[2521] Sobolevski?i P.E. Hardy's inequality for the Stokes problem // In Navier´Stokes
equations and related nonlinear problems (Palanga, 1997), p.331--347. VSP,
Utrecht, 1998.

################# ######### 201
[2522] Sobolevski?i P.E. Hardy's inequality for the Stokes problem. In Reaction diffusion
systems (Trieste, 1995), p.349--364. Dekker, New York, 1998.
[2523] Sobolevskii P. The theorem on mixed derivatives and the estimate of the con´
vergence rate of the Galerkin method for parabolic equations (the third initial´
boundary value problem) // Funct. Differ. Equ., 3(1´2): p.223--238, 1995.
[2524] Sobolevski?i P.E. Theorem on mixed derivatives and estimate of convergence rate
of Euler´Galerkin's method for parabolic equation // In Hellenic European re´
search on mathematics and informatics '94, Vol. 1, 2 (Athens, 1994), p.167--179.
Hellenic Math. Soc., Athens, 1994.
[2525] Sobolevski?i P.E. Well´posedness of difference elliptic equation // Rend. Istit. Mat.
Univ. Trieste, 28(suppl.): p.337--382 (1997), 1996. Dedicated to the memory of
Pierre Grisvard.
[2526] Sohrab N.N. Essential spectra of a class of elliptic operators // J. London Math.
Soc.´ 1988.´ 38, 2.´ p.286´292.
[2527] Song D. Some notes on the spectral properties of C 0 ´semigroups generated by
linear transport operators // Transp. Theory Stat. Phys. 26, No.1´2, p. 233´242
(1997).
[2528] Song G.Z. A problem of exponential stability for semigroups of operators in
Hilbert spaces // Chinese Ann. Math. Ser. A, 13(5): p.648--652, 1992.
[2529] Song G.Z. Convergence of a sequence of (1; A)´semigroups of linear operators //
Acta Math. Sinica, 31(3): p.356--367, 1988.
[2530] Song S. Inegalites de Meyer pour le semigroupe d'Ornstein´Uhlenbeck generalise.
(Meyer's inequality for the generalized Ornstein´Uhlenbeck semigroups) // C. R.
Acad. Sci., Paris, Ser. I 320, No.8, p. 993´996 (1995).
[2531] Sova M. Concerning the characterization of generators of distribution semigroups
// Cas. pestov. mat.´ 1980.´ 105, 4.´ p. 329´340.
[2532] Sova M. Cosine operator functions // Rozpr. Mat.´ 1966.´ 49.´ p. 1´47.
[2533] Sova M. Linear differential equations in Banach spaces // Rozpr. CSAV MPV.´
1975.´ 85, 6.´ p. 1´86.
[2534] Sova M. On exponential growth of solutions of abstract initial value problems //
Cas. Pestov. Mat.´ 1981.´ 106, 1.´ p. 1´30.

202 ################# #########
[2535] Sova M. Probleme de Cauchy pour les equations hyperboliques operationnelles
a coefficients constant non´bornes // Ann. Pisa.´ 1968.´ 22.´ p. 67´100.
[2536] Sova M. Semigroups and cosine functions of normal operators in Hilbert space
// Cas. pestov. mat.´ 1969.´ 93.´ p. 437´458.
[2537] Spijker M.N. Step size restrictions for stability of one´step methods in the nu´
merical solution of initial value problems // Math. Comput.´ 1985, 45, N 172.´
p. 377´392.
[2538] Stewart H.B. Generation of analytic semogroups by strongly elliptic operators
// Trans. Amer. Math. Soc., 1974, 199, p. 141´162.
[2539] Stewart H.B. Generation of analytic semogroups by strongly elliptic operators
under general boundary conditions // Appl. Math. Depart. Brookhaven Nat.
Labor. Upton, New´Jork, 11973, 1979.
[2540] Stewart H.B. Generation of analytic semogroups by strongly elliptic operators
under general boundary conditions // Trans. Amer. Math. Soc., 1980, 259, p.
299´310.
[2541] Stochel J. Decomposition and disintegration of positive definite kernels on convex
*´semigroups // (English) Ann. Pol. Math. 56, No.3, p. 243´294 (1992).
[2542] Stochel J. On an operator moment problem on \Lambda ´semigroups // Collection: Oper´
ators in indefinite metric spaces, scattering theory and other topics (Bucharest,
1985), p. 301--311. Oper. Theory: Adv. Appl., 24, Birkhauser, Basel´Boston,
Mass., 1987.
[2543] Straub B. Fractional powers of operators with polynomially bounded resolvent
and the semigroups generated by them // Hiroshima Math. J. 24, No.3, p. 529´
548 (1994).
[2544] Stummel F. Approximation methods in analysis. Matematisk Institut, Aarhus
Universitet, Aarhus, 1973. Lectures delivered during the Spring Semester, 1973,
Lecture Notes Series, No. 35.
[2545] Stummel F. Difference methods for linear initial value problems // p.123--135.
Lecture Notes in Math., Vol. 395, 1974.
[2546] Stummel F. Diskrete konvergenz linear Operatoren III // Proc. Oberwolfach
Conference in Linear Operators and Approximations (1971). Int. Series of Numer.
Math. 20 (1972).

################# ######### 203
[2547] Stummel F. Perturbation of domains in elliptic boundary value problems //
p.110--136. Lecture Notes in Math., 503, 1976.
[2548] Suzuki T. On a multi´dimensional inverse problem related to the Gelfand´Levifan
theory // p. 473´479
[2549] Sviridyuk G.A. Linear equations of Sobolev type, and strongly continuous semi´
groups of solving operators with kernels // (English. Russian original) Russ.
Acad. Sci., Dokl., Math. 50, No.1, p. 137´142 (1995); translation from Dokl.
Akad. Nauk, Ross. Akad. Nauk 337, No.5, p. 581´584 (1994).
[2550] Szivastava A., Paveri´Pontana S.L. Numerical experiments on the rational
Runge´Kutta method // Comp. & Math. with Appl.´ 1986, vol.12A, N 12.´ p.
1161´1170.
[2551] Szufla S. On the existence of bounded solution of nonlinear differential equations
in Banach spaces // Fonctiones et Approximatio.´ 1986, 15.´ p. 117´123.
[2552] Szymanski W. Positive forms and dilations // Trans. Amer. Math. Soc. 301
(1987), no. 2, p. 761--780.
[2553] Szymanski W. Dilations and subnormality // Proc. Amer. Math. Soc. 101 (1987),
no. 2, p. 251--259.
[2554] Tadjouri M. Vecteurs exponentiels et generateurs de fonctions cosinus. (Expo´
nential vectors and cosine functions generators) // (French) C. R. Acad. Sci.,
Paris, Ser. I 314, No.4, p. 287´290 (1992).
[2555] Taira K. Analytic semifroups and semilinear initial boundary value problems.
Cambridge, London Math. Soc. Lecture Note, Series 223, 1995, 164 pp.
[2556] Taira K. On the existence of Feller semigroups with boundary conditions //
Mem. Am. Math. Soc. 99, No.475, 65 p. (1992).
[2557] Takac P. Two counterexamples to the spectral mapping theorem for semigroups
of positive operators // Integr. Equat. Oper. Theory. 1986.´ 9, 3.´ p. 460´467.
[2558] Takahashi T., Oharu S. Approximation of operator semigroups in a Banach space
// T?ohoku Math. J. (2), 24: p.505--528, 1972.
[2559] Takahashi W., Park J.´Y. On the asymptotic behavior of almost´orbits of com´
mutative semigroups in Banach spaces // Collection: Nonlinear and convex anal´
ysis (Santa Barbara, Calif., 1985), p. 271--293. Lecture Notes in Pure and Appl.
Math., 107, Dekker, New York, 1987.

204 ################# #########
[2560] Takano K. On semigroups of the Poisson transforms and groups of boundary
values of the Poisson transforms on weighted L p spaces // Bull. Fac. Sci. Ibaraki
Univ. Ser. A, (14): p.25--33, 1982.
[2561] Takenaka T. A note on the generation theorem of cosine families in Banach spaces
// #### ####### ######## ###: Met. Coll. Eng., Chubu Univ.´ 1986.´ 22.´ p.
71´76.
[2562] Takenaka T., Okazawa N. A Phillips´Miyadera type perturbation theorem for
cosine functions of operators // Tohoku Math. J.´ 1978.´ 30.´ p. 107´115.
[2563] Takenaka T., Okazawa N. Abstract Cauchy problems for second order linear
differential equations in Banach space // Hiroshima Math. J.´ 1987.´ 17, 3.´ p.
591´612.
[2564] Takenaka T., Okazawa N. Wellposedness of abstract Cauchy problems for second
order differential equations // Isr. J. Math. 69, No.3, p. 257´288 (1990).
[2565] Tan K.´K., Xu H.´K. An ergodic theorem for nonlinear semigroups of Lipschitzian
mappings in Banach spaces // Nonlinear Anal., Theory Methods Appl. 19, No.9,
p. 805´813 (1992).
[2566] Tanabe H. Equations of evolutions (English translation) // Pitman, London.´
1979.´ 360 p.
[2567] Tanabe H. Structural operators for linear delay´differential equations in Hilbert
space //Proc. Jap. Acad. A.´1988.´64, N8.´c.265´266.
[2568] Tanaka N. Approximation of integrated semigroups by ''integrated'' discrete pa´
rameter semigroups // Semigroup Forum 55(1).´ 1997, p. 57--67.
[2569] Tanaka N. Extension or blow up of classical solutions to quasilinear evolution
equations in Banach spaces // Nonlinear Anal., 29(11): p.1287--1301, 1997.
[2570] Tanaka N. Generation of linear evolution operators // Proc. Amer. Math. Soc.
[2571] Tanaka N. Holomorphic C´semigroups and holomorphic semigroups // Semi´
group Forum.´ 1989.´ 38, 2.´ p. 253´261.
[2572] Tanaka N. Linear evolution equations in Banach spaces // Proc. Lond. Math.
Soc., III. Ser. 63, No.3, p. 657´672 (1991).
[2573] Tanaka N. On perturbation theory for exponentially bounded C´semigroups //
Semigroup Forum, 41(2): p.215--236, 1990.

################# ######### 205
[2574] Tanaka N. On the existence of solutions for functional evolution equations //
Nonlinear Anal., 12(10): p.1087--1104, 1988.
[2575] Tanaka N. On the exponentially bounded C´semigroups // Tokyo J. Math. 10
(1987), no. 1, p. 107--117.
[2576] Tanaka N. Quasilinear evolution equations with non´densely defined operators
// Differential Integral Equations, 9(5): p.1067--1106, 1996.
[2577] Tanaka N. Semilinear equations in the ``hyperbolic'' case // Nonlinear Anal.,
24(5): p.773--788, 1995.
[2578] Tanaka N., Miyadera I. C´semigroups and the abstract Cauchy problem // J.
Math. Anal. Appl., 170(1): p.196--206, 1992.
[2579] Tanaka N., Miyadera I. Exponentially bounded C´semigroups and integrated
semigroups // Tokyo J. Math., 12(1): p.99--115, 1989.
[2580] Tanaka N., Miyadera I. Some remarks on C´semigroups and integrated semi´
groups // Proc. Jap. Acad.´ 1987.´ A63, 5.´ p. 139´142.
[2581] Tanaka N., Okazawa N. Local C´semigroups and local integrated semigroups //
Proc. London Math. Soc. 61, (1990) # 3, p. 63--90.
[2582] Tanaka N., Toriumi S., Miyadera I. Adjoints of semigroups of linear operators in
Banach spaces // J. Math. Anal. Appl. 180, No.2, p. 386´397 (1993).
[2583] Tarkhanov N.N. The Cauchy froblem for solutions of elliptic equations // Acad.
Verlag , 1995, 478 pp.
[2584] Thambar Nair M. On strongly stable approximations // J. Austr. Math. Soc.
Ser. A 52 (1992), p. 251´260.
[2585] Thomas R.M. Effirient fourth order p´stable formulae // BIT. ´ 1987, 27.´ p.
599´614.
[2586] Thom'ee V. The finite difference vercus the finite element method for the solution
of boundary value problems // Bull. Austral. Math. Soc.´ 1984, 29.´ p. 267´288.
[2587] Thom'ee V., Vasudeva Murthy A. S. Approximate solution of u 0 = \GammaA 2 u using
a relation between exp(\GammatA 2 ) and exp(itA) // Numer. Funct. Anal. Optim.,
16(7´8): p.1087--1096, 1995.
[2588] Thomie V., Wahlbin L. Convergence schemes for non´smooth date // Math.
Comp.´ 1974, vol.28, N 125.´ p. 1´13.

206 ################# #########
[2589] Timmermans C. A. Construction of semigroups of operators in L 2 (!) // In Con´
structive function theory '81 (Varna, 1981), p.558--563. Bulgar. Acad. Sci., Sofia,
1983.
[2590] Tong Y. Generalized wave operators in space with an indefinite metric // J.
Math. Anal. & Appl.´ 1989.´ 137, 2.´ p. 371´395.
[2591] Tosiharu T. A note on the generation theorem of cosine families on Banach spaces
// Mem. Coll. Eng., Chubu Univ.´ 1986.´ 22.´ p. 71´76.
[2592] Travis C.C. Differentiability of weak solutions to an abstract inhomogenious dif´
ferential equation // Proc. Amer. Math. Soc. 1981. V.82. p. 425´430.
[2593] Travis C.C., Webb G.F. Compactness, regularity and uniform continuity prop´
erties of strongly continuous cosine families // Houston J. Math.´ 1977.´ 3, 4.´ p.
555´567.
[2594] Travis C.C., Webb G.F. Cosine families and abstract non´linear second order
differential equations // Acta Math. Acad. Sci. Hung.´ 1978.´ 32, 3.´ 4.´ p. 75´96.
[2595] Travis C.C., Webb G.F. Perturbation of strongly continuous cosine family gen´
erators // Colloq. Math.´ 1981.´ 45, 2.´ p. 277´285.
[2596] Travis C.C., Webb G.F. Second order differential equations in Banach space //
Nonlin. equat. in abstract space.´ 1978.´ p. 331´361.
[2597] Triggiani R. On the relationship between first and second order controllable
systems in Banach space // SIAM J. Contr. Optim.´ 1978.´ 16.´ p. 847´859.
[2598] Triggiani R. On the stabilizability problem in Banach space // J. Math. Anal.
& Appl.´ 1975.´ 52.´ p. 383´403.
[2599] Trinh T. A. On the almost periodic ri´competing species problem // Acta Math.
Vietnam. 23, No.1, p. 35´48 (1998).
[2600] Trinh T.A., Tran Van N. (Anh, Trinh Tuan; Nhung, Tran Van) Three species
competition in periodic environment // Acta Math. Vietnam. 22, No.2, p. 395´
405 (1997).
[2601] Trotter H. Approximation of semigroups of operatiors // Pacific J. Math. 1958.´
p. 887´919.
[2602] Tsekanovskii E. R. The characteristic function and sectorial boundary value prob´
lems // Trudy´Inst. Mat. (Novosibirsk). 7 (1987), Issled. Geom. Mat. Anal., p.
180--194, 200.

################# ######### 207
[2603] Twizell E.H., Khalig A.Q. L 0 ´stable methods for constant coefficient parabolic
equations // Math. Anal. and its Appl. : Proc. Int. Conf. Kuwait. 1985 ´ 1988.´
p. 349´358.
[2604] Twizell E.H., Khalig A.Q.M. Multiderivative methods for periodic initial value
problems // SIAM J. Numer. Anal.´ 1984, 21, N 1.´ p. 111´122.
[2605] Tymovski S. On the analogue of the formula cos(t) = (e t + e \Gammat )=2 for operator
cosine function // Rocz. Ptm.´ 1983.´ Ser. 1.´ 23, 1.´ p. 173´182.
[2606] Tymovski S. Une racine du generateur de la fonction cosinus bornee // Rocz.
Ptm.´ 1985.´ ser. 1.´ 25, 2.´ p. 391´399.
[2607] Ueno T. An intergo´differential operator and the associated semigroup of opera´
tors // Proc. Jap. Acad., 1983, A59, N 10, p. 465´468.
[2608] Ueno T. Representation of the generator and the boundary condition for semi´
groups of operators of kernel type // Proc. Japan Acad. Ser. A Math. Sci., 59(9):
p.414--417, 1983.
[2609] Ugowski H. On the Cauchy problem for a semilinear system of parabolic equation
in Banach spaces // Rocz. PTM. Ser. 1.´ 1988.´ 27, N2. ´c. 345´358.
[2610] Uiterdijk . A note on the functional calculus for sectorial operators. Indag. Math.
(N.S.), 10(1):131--143, 1999.
[2611] Uiterdijk Marc. A functional calculus for analytic generators of C 0 ´groups. In´
tegral Equations Operator Theory, 36(3):349--369, 2000.
[2612] Underhill C. Some asymptotic properties of Pade approximants to e \Gammax // Math.
Comput.´ 1986, vol.47, N 175.´ p. 253´263.
[2613] Ushijima T. A semigroup theoretical´analysis of finite´element method for a lin´
earized viscous shallow´water system // Publ. of Res. Inst. Math. Sci., 1983, 19,
N 3, p. 1305´1328.
[2614] Ushijima T. Approximation of semigroups and the finite element method
(Japanese) // Sugaku, 1980, 32, N 2, p. 133´148.
[2615] Ushijima T. Approximation theory for semigroups of linear operators and its
applications to approximations of wave equations // Japan J. Math. 1 (1975),
# 1, p. 185--224.

208 ################# #########
[2616] Ushijima T. On a certain finite element method of the upstream type applied
to convective diffusion problems // In Proceedings of the China´France sympo´
sium on finite element methods (Beijing, 1982), p.436--461, Beijing, 1983. Science
Press.
[2617] Ushijima T. On the generation and smoothness of semigroups of linear operators
// J. Fac. Sci. Univ. Tokyo.´ 1972.´ 19, 1.´ p. 65´127.
[2618] Vainikko G. Approximative methods for nonlinear equations (two approaches to
the convergence problem) // Nonlinear Anal. Theory Meth. & Appl. 2 (1978),
p. 647--687.
[2619] Vainikko G. Functionalanalysis der Diskretisierungsverfare. Skripte TU, Karl´
Marx´Stadt, 1974.
[2620] Vainikko G. Foundations of finite difference methods for eigenvalue problems //
Proc. Summer School on the Use of Finite Element Method and Finite Difference
Method in Geophysics, Eds. K. P?e?c and J. Nedoma, Praha (1978), p. 173´192.
[2621] Vainikko G., Piskarev S.I. On regularly compatible operators // Izvestija VUZ,
Matematika 21 (1977), N 10, p. 25´36.
[2622] Vajzovic F. On cosine operator functions in Banach spaces // Rad. Acad. Nauka
i Umjetn. bih od. prirod. i mat. Nauka.´ 1982.´ 62, 20.´ p. 23´30.
[2623] Vajzovic F. On the cosine operator function // Glas. mat. 1987.´ 22, 2.´ p. 381´
406.
[2624] van der Merwe A.J. Perturbations of evolution equations // Appl. Anal. 62,
No.3´4, p. 367´380 (1996).
[2625] van Neerven J. M. A. M. A dichotomy theorem for the adjoint of a semigroup of
operators // Proc. Amer. Math. Soc., 119(3): p.765--774, 1993.
[2626] van Neerven J.M.A.M. Exponential stability of operators and operator semi´
groups // J. Funct. Anal. 130, No.2, p. 293´309 (1995).
[2627] van Neerven J. Hahn--Banach type theorems for adjoint semigroups, Math. Anal.,
28 (1990), pp. 63´71.
[2628] van Neerven J.M.A.M. Hahn´Banach type teorems for dual semigroups //Rept.
Cent. Math. & Comput. Sci.´ 1989.´ NAM´R8903.´ 10c.

################# ######### 209
[2629] van Neerven J.M.A.M. Inequality of spectral bound and growth bound for pos´
itive semigroups in rearrangement invariant Banach function spaces // Arch.
Math. 66, No.5, p. 406´416 (1996).
[2630] van Neerven J.M.A.M. On the topology induced by the adjoint of a semigroup
of operators // Centre for Mathematics and computing science. Amsterdam,
Netherland. Report AM´R9010. 1980. 14 p.
[2631] van Neerven J. Sandwiching C 0 ´semigroups // J. Lond. Math. Soc., II. Ser. to
appear (1998).
[2632] van Neerven J. The adjoint of a semigroup of linear operators. Lectures Notes in
Math. N 1529., Springer´Verlag, Berlin, 1992.
[2633] van Neerven J. The asymptotic behaviour of semigroups of linear operators.
Operator Theory: Advances and Applications. 88. Basel: Birkhaeuser. xii, 236
p. (1996).
[2634] van Neerven J.M.A.M., de Pagter B. Certain semigroups on Banach function
spaces and their adjoints // Semigroup theory and evolution equations, Proc.
2nd Int. Conf., Delft/Neth. 1989, Lect. Notes Pure Appl. Math. 135, p. 383´390
(19 91).
[2635] Varga R.S. On higher order stable implicit methode for solving parabolic partial
differential eguations // J. Math., Phys., 196, 40, p. 220 ´ 231.
[2636] Varley E., Seymour B. A method for obtaining exact solutions to partial differ´
ential equalions with variable coefficients // Stud. Appl. Math.´ 1988.´ 78, N 3.´
p. 183 ´ 225.
[2637] Varopoulos E. Th. Hardy´Littlewood theory for semigroups // J. Funct. Anal.´
1985.´ 63, 2.´ p. 240´260.
[2638] Vasil'ev V.V., Krejn S.G., Piskarev S.I. Semigroups of operators, cosine operator
functions, and linear differential equations // (English. Russian original) J. Sov.
Math. 54, No.4, p. 1042´1129 (1991); translation from Itogi Nauki Tekh., Ser.
Mat. Anal. 28, p. 87´202 (1990).
[2639] Veivoda O. Patial differential equations, time´periodic solutions. 1981.
[2640] Vesentini E. Holomorphic semigroups of holomorphic isometrics // Atti. Acad.
Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat.´ Ser. 8.´ 1988.´ 82, 1.´ p. 43´49.

210 ################# #########
[2641] Vesentini E. Semigroups of holomorphic isometries // Adv. Math. 65 (1987), no.
3, 272--306.
[2642] Vesentini E. Strongly continuous semigroups satisfying polynomial equations //
Ann. Mat. Pura Appl., IV. Ser. 162, p. 281´297 (1992).
[2643] Vinter R.B. Stabilizability and semigroups with discrete generators // J. Inst.
Math. & Appl.´ 1977.´ 20.´ p. 371´378.
[2644] Vladimirov V.S., Drozzinov Yu.N., and Zavialov B.I.. Tauberian theorems for
generalized functions. Kluwer Academic Publishers Group, Dordrecht, 1988.
Translated from the Russian.
[2645] Vogt A. The Riccati equation: when nonlinearity reduces to linearity // Collec´
tion: Nonlinear semigroups, partial differential equations and attractors (Wash´
ington, D.C., 1985), p. 169--185 Lecture Notes in Math., 1248, Springer, Berlin´
New York, 1987.
[2646] Voicu M. Dissipafivity, codissipafivity and resolvents on ordered Banach spaces
// Rev. Roum. Math. Pures et Appl.´ 1988.´ 33, N 9, p. 789´797.
[2647] Voicu M. Positive resolvents and the property of dispersiveness in locally convex
lattices //Rev. Roum. Math. Pures et Appl.´ 1988.´ 33, N5.´ p. 239´240.
[2648] Voigt J. A perturbation theorem for the essential spectral radius of strongly
continuous semigroups // Monatsh. Math., 90(2): p.153--161, 1980.
[2649] Voigt J. Absorption semigroups // J. Operator Theory, 20(1): p.117--131, 1988.
[2650] Voigt J. Absorption semigroups, Feller property, and Kato class // In Par´
tial differential operators and mathematical physics (Holzhau, 1994), p.389--396.
Birkh?auser, Basel, 1995.
[2651] Voigt J. Absorption semigroups, their generators, and Schr?odinger semigroups
// J. Funct. Anal., 67(2): p.167--205, 1986.
[2652] Voigt J. Interpolation for (positive) C 0 ´semigroups on L p ´spaces // Math. Z.,
1985, 188 (2), p. 283´286.
[2653] Voigt J. On convex compactness property for strong operator topology // Notes
di Matematika 1992, 12, p. 259´269.
[2654] Voigt J. On resolvent positive operators and positive C 0 ´semigroups on AL´spaces
// Semigroup Forum.´ 1989.´ 38, 2.´ p. 263´266.

################# ######### 211
[2655] Voigt J. On substochastic C 0 ´semigroups and their generators // In Proceedings
of the conference on mathematical methods applied to kinetic equations (Paris,
1985), volume 16, p.453--466, 1987.
[2656] Voigt J. On the perturbation theory for strongly continuous semigroups //
Math.Ann.´ 1977.´ 229 (2).´ p. 163´171.
[2657] Voigt J. One´parameter semigroups acting simultaneously on different L p ´spaces
// Bull. Soc. Roy. Sci. Li`ege, 61(6): p.465--470, 1992.
[2658] Voigt J. Regularity of mild solutions of nonlinear parabolic equations // Trans´
port Theory Statist. Phys., 8(1): p.17--22, 1979.
[2659] Voigt J. Stability of the essential type of strongly continuous semigroups // Trudy
Mat. Inst. Steklov., 203(Izbran. Voprosy Mat. Fiz. i Anal.): p.469--477, 1994.
[2660] Voigt J. The sector of holomorphy for symmetric sub´Markovian semigroups //
In Functional analysis (Trier, 1994), p.449--453. de Gruyter, Berlin, 1996.
[2661] Vrabie I.I. A new characterization of generators of linear compact semigroups //
An. Stiint. Univ. ``Al. I. Cuza'' Iasi Sect. I a Mat. (N.S.), 35(2): p.145--151, 1989.
[2662] Vrabie I.I. Compactness methods for nonlinear evolutions // Rifman. Adv. Publ.
Progr. ´ 1988.
[2663] Vrabie I. I. Nonlinear evolution equations: existence via compactness // Col´
lection: Semigroups, theory and applications, Vol. I (Trieste, 1984), p. 242--248
Pitman Res. Notes Math. Ser., 141, Longman Sci. Tech., Harlow, 1986.
[2664] V~u Quoc Ph'ong. A short proof of the Y. Katznelson's and L. Tzafriri's theorem
// Proc. Amer. Math. Soc., 115(4): p.1023--1024, 1992.
[2665] Vu Quoc Phong. Almost periodic and strongly stable semigroups of operators //
Janas J. (ed.) et al., Linear operators. Proceedings of the semester organized at
the Stefan Banach International Mathematical Center, Warsaw, Poland, Febru´
ary 7´May 15, 1994. Warsaw: Polish Academy of Sciences, Inst. of Mathematics,
Banach Cent. Publ. 38, p. 401´426 (1997).
[2666] V~u Quoc Ph'ong. Almost periodic solutions of Volterra equations // Differential
Integral Equations, 7(3´4): p.1083--1093, 1994.
[2667] Vu Kuok Fong. Asymptotic almost periodicity and compactifying representations
of semigroups // Ukrain. Mat. Zh. 38 (1986), no. 6, p. 688--692, 813.

212 ################# #########
[2668] V~u Quoc Ph'ong. Dissipative actions of semigroups with precompact orbits // In
Proceedings of the conference on ergodic theory and related topics, II (Georgen´
thal, 1986), p.160--165, Leipzig, 1987. Teubner.
[2669] Vu Kuok Fong. Dissipative almost periodic actions of semigroups // Ukrain. Mat.
Zh., 40(1): p.110--113, 135, 1988.
[2670] V~u Quoc Ph'ong. Nonlinear almost periodic actions of semigroups // In Func´
tional analysis (Essen, 1991), p.71--94. Dekker, New York, 1994.
[2671] V~u Q'u?oc Ph'ong. On inequalities for powers of linear operators and for quadratic
forms // Proc. Roy. Soc. Edinburgh Sect. A, 89(1´2): p.25--50, 1981.
[2672] V~u Qu?oc Ph'ong. On the exponential stability and dichotomy of C 0 ´semigroups
// Studia Math., 132(2): p.141--149, 1999.
[2673] Vu Quoc Phong. Op'erateurs et repr'esentatios de Markov presque´pervodiques
de semi´groups dans les espaces L p // C. r. Acad. sci. ser. 1.´ 1988.´ 307, N14.´
c. 775´778.
[2674] Vu Kuok Fong. Perron´Frobenius theory for almost periodic representations of
semigroups in L p spaces // Teor. Funktsi?i Funktsional. Anal. i Prilozhen., (49):
p.35--42, 124, 1988.
[2675] V~u Q'u~oc Ph'ong. Repr'esentations compactifiantes de semi´groupes // C.R. Acad.
Sci. Paris S'er. I Math., 305(6): p.273--274, 1987.
[2676] V~u Quoc Ph'ong. Semigroups with nonquasianalytic growth // Studia Math.,
104(3): p.229--241, 1993.
[2677] Vu Quoc Phong. Stability of C 0 ´semigroups and stabilization of linear control
systems // In Systems modelling and optimization (Detroit, MI, 1997), p.20--
28. Chapman & Hall/CRC, Boca Raton, FL, 1999.
[2678] V~u Qu?oc Ph'ong. Stability of semigroups commuting with a compact operator //
Proc. Amer. Math. Soc., 124(10): p.3207--3209, 1996.
[2679] V~u Qu?oc Ph'ong. The operator equation AX \Gamma XB = C with unbounded op´
erators A and B and related abstract Cauchy problems // Math. Z., 208(4):
p.567--588, 1991.
[2680] V~u Quoc Ph'ong. Theorems of Katznelson´Tzafriri type for semigroups of opera´
tors // J. Funct. Anal., 103(1): p.74--84, 1992.

################# ######### 213
[2681] Vu Kuok Fong, Lyubich Yu. I. A spectral criterion for almost periodicity for one´
parameter semigroups // Teor. Funktsi?i Funktsional. Anal. i Prilozhen., (47):
p.36--41, 1987.
[2682] Vu Kuok Fong, Lyubich Yu. I. On the spectral mapping theorem for one´
parameter groups of operators // Zap. Nauchn. Sem. Leningrad. Otdel. Mat.
Inst. Steklov. (LOMI), 178(Issled. Linein. Oper. Teorii Funktsii. 18): p.146--150,
185--186, 1989.
[2683] V~u Qu?oc´Ph'ong, Yao F. On similarity to contraction semigroups in Hilbert space
// Semigroup Forum, 56(2): p.197--204, 1998.
[2684] Wallen L.Z. One parameter groups and the characterization of the sine function
// Rroc. Amer. Math. Soc.´ 1988.´ 102, N 1.´ p. 59´60.
[2685] Walz G. Computing the matrix exponential and other matrix functions // J.
Comput. & Appl. Math.´ 1988, 21.´ p. 119´123.
[2686] Walz G. Numerical computation of the matrix exponential // Constr. Theory
Funct.:Proc. Inf. Conf., Varna. May 24´31, 1987.´ Sofia, 1988.´ p. 478´481.
[2687] Wang H. C´cosine operator functions and the second order abstract Cauchy
problem // Northeast. Math. J. 11, No.1, p. 85´94 (1995).
[2688] Wang H. Approximations of strongly continuous C´cosine operator functions //
(Chinese. English summary) J. Nanjing Univ., Math. Biq. 11, No.2, p. 233´240
(1994).
[2689] Wang H. On the spectrum of strongly continuous C´cosine operator functions //
(Chinese. English summary) J. Math. Res. Expo. 16, No.4, p. 633´634 (1996).
[2690] Wang H., Wang S. C´cosine operator functions and the applications to the second
order abstract Cauchy problem // Li B. (ed.) et al., Functional analysis in China.
Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 356, p. 333´350
(1996).
[2691] Wang M. Global solution, asymptotic behavior and blow´up problems for a model
of nuclear reactors // Sci. China, Ser. A 35, No.2, p. 129´141 (1992).
[2692] Wang S. Cesaro ergodic theorems for weakly Y ´integrable operator semigroups
// Chin. Ann. Math., Ser. B 13, No.4, p. 411´421 (1992).
[2693] Wang S.W. Groups and semigroups of d hm k i operators in Banach spaces // Chi´
nese Ann. Math. Ser. A, 4(4): p.505--514, 1983. An English summary appears in
Chinese Ann. Math. Ser. B 4 (1983), no. 3, p.403--404.

214 ################# #########
[2694] Wang S.W. Groups and semigroups of d hm k i operators in Banach spaces. Kexue
Tongbao (English Ed.), 28(6): p.724--725, 1983.
[2695] Wang S., Erdelyi I. Tensor product of semigroups and the equation AC \GammaC B = Q
// Chin. Ann. Math., Ser. B 16, No.2, p. 267´278 (1995).
[2696] Wang S., Huang Z. Strongly continuous integrated C´cosine operator functions
// Stud. Math. 126, No.3, p. 273´289 (1998).
[2697] Wang S.W., Gao M.C. Automatic extensions of local regularized semigroups and
local regularized cosine functions // Proc. Amer. Math. Soc., 127(6): p.1651--
1663, 1999.
[2698] Wang T. X. The invariant state space and the ergodic state space of topological
semigroups of operators // Nanjing Daxue Xuebao Shuxue Bannian Kan, 1(2):
p.166--176, 1984.
[2699] Wang Y. The hypo´homogeneous semi´group for two parameters // (Chinese.
English summary) J. Math., Wuhan Univ. 14, No.4, p. 514´518 (1994).
[2700] Warga J. Optimal Control of Differential Equations. Academic Press, New York,
1972.
[2701] Watanabe M. A new proof of the generation theorem of cosine families in Banach
spaces // Houston J. Math.´ 1984.´ 10, 2.´ p. 285´290.
[2702] Watanabe M. A perturbation theory for abstract evolution equations of second
order // Proc. Jap. Acad.´ 1982.´ 58.´ p. p. 143´146.
[2703] Watanabe M. Cosine families of operators and applications // Different. Equat.
in Banach spaces: Lect. Notes Math.´ 1986.´ 1223.´ p. 278´292.
[2704] Watanabe M. On semigroups generated by m´accretive operators in a strict sense
// Proc. Amer. Math. Soc.´ 1986.´ 96, 1.´ p. 43´49.
[2705] Watanabe M. Trotter's product formula for semigroups generated by quasilinear
elliptic operators // Proc. Amer. Math. Soc., 1984, 92, N 4, p. 509 ´ 514.
[2706] Webb G.F. A representation formula for strongly continuous cosine families //
Aequat. Math., 1980, 21, p. 251´256.
[2707] Webb G. F. An operator´theoretic formulation of asynchronous exponential
growth // Trans. Amer. Math. Soc. 303 (1987), no. 2, p. 751--763.

################# ######### 215
[2708] Webb G.F. Existence and asymptotic behavior for a strongly damped nonlinear
wave equation // Can. J. Math., 1980, 32, N 3, p. 631´643.
[2709] Webb G. F. Semigroup methods in population dynamics: proliferating cell pop´
ulations // In Semigroup theory and applications (Trieste, 1987), p.441--449.
Dekker, New York, 1989.
[2710] Webb G. F., Grabosch A. Asynchronous exponential growth in transition prob´
ability models of the cell cycle // SIAM´J. Math. Anal. 18 (1987), no. 4, p.
897--908.
[2711] Webb G.F. A representation formula for strongly continuous cosine families //
Aequat. Math.´ 1980.´ 20, 1.´ p. p. 115´116.
[2712] Webb G.F. An operator theoretic formulation of asynchronous exponential
qrowth // Trans. Amer. Math. Soc.´ 1987.´ 303, 2.´ p. 751´763.
[2713] Weis Lutz. The stability of positive semigroups on L p spaces// Proc. Amer.
Math. Soc., 123(10):3089--3094, 1995.
[2714] Weis Lutz. Stability theorems for semi´groups via multiplier theorems// In
Differential equations, asymptotic analysis, and mathematical physics (Potsdam,
1996), pages 407--411. Akademie Verlag, Berlin, 1997.
[2715] Weis Lutz. A short proof for the stability theorem for positive semigroups on
L p (?)// Proc. Amer. Math. Soc., 126(11), p. 3253--3256, 1998.
[2716] Weis L. Inversion of the vector´valued Laplace transform in L p (X)´spaces //
Dore G. (ed.) et al., Differential equations in Banach spaces. Proceedings of the
2nd conference on differential equations in Banach spaces held at Bologna, Italy,
1991. New York: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 148, p.
235´253 (1993).
[2717] Weis L., Wrobel V. Asymptotic behavior of C 0 ´semigroups in Banach spaces //
Proc. Am. Math. Soc. 124, No.12, p. 3663´3671 (1996).
[2718] Weiss G. Admissibility of unbounded control operators //SIAM J. Contr. and
Optima ´1989. ´27, N3. ´c. 527´545.
[2719] Weiss G. Weak L p ´stability of linear semigroup on Hilbert space implies expo´
nential stability // J. Different. Equat.´ 1988.´ 76, 2.´ p. 269´285.
[2720] Weissler F.B. Semilinear evolution equation in Banach spaces // J. Funct. Anal.´
1979.´ 32, 3.´ p. 277´296.

216 ################# #########
[2721] Welck, U. Stabile Mehrschichtverfahren fur parabolische Evolutions´ gleichungen
// Numer. Math., 1977, 29, p. 65´82.
[2722] Welck. U. Ein stabiles Schichtenverfahren fur allgemeine lineare Evolutionsgle´
ichungen. Numer. Math., 1977, 27, p. 171´178.
[2723] Wenzel von L. Evolutiongleichungen in localkonvexen raumen // Math. Nachr.´
1985.´ 123.´ p. 145´155.
[2724] Werner H., Bunger H.Y. (Ed.) Pade approximations and ifs applications. Bad
Honnef.´ 1984.´ 246 p. (Lecture Notes Math.´ 1071).
[2725] Weweries R. Zur Stabilit?atsuntersuchung von gew?ohuliehen mehanischen Syste´
men mit Totzeitz?uckkopplung //Z. angew. Math. und Mech.´ 1989.´ 69, N5.´ p.
414´417.
[2726] Wilcox C.H. Sound propagation in stratified fluids // Appl. Math. Sciences. N
50, 1984.
[2727] Wilmott P. A note on the WKB method for difference equations // IMA J. Appl.
Math.´ 1985, 34.´ p. 295 ´ 302.
[2728] Wimmer H.K. Extremal problems for H?older norms of matrices and realizations
of linear systems // SIAM J. Matrix Anal. Appl.´ 1988, 9, N 3.´ p. 314´322.
[2729] Wittmann R. Semigroups related to Dirichlet's problem with applications to
Fatou theorems // Collection: Theorie du potentiel (Orsay, 1983), p. 559--582
Lecture Notes in Math., 1096, Springer, Berlin´New York, 1984.
[2730] Wolf R. ?
Uber lineare approximationsregulare Operatoren // Math. Nachr., 1974,
59, p. 325´341.
[2731] Wolff M.P.H. A remark on the spectral bound of the generator of semigroup of
positive operators with application to stability theory // Butzer P. L., Sz.´ Nagy
B. (eds). Funct. Anal. Approx., Proc. Conf. Oberwolfach.´ 1980.´ Basel´Boston´
Stuttg.´ p. 39´50.
[2732] Wong J.C.S. Fixed point theorems for measurable semigroups of operations //
Can. J. Math. 44, No.3, p. 652´664 (1992).
[2733] Wuytack L. (Ed.) Pad'e approximation and its applications.´ Proc. of conf. held
in Antwerp. Belgium.´ 1979.´ 392 p. (Z.N.Math. 765).
[2734] Xiao T. The well´posedness of a class of complete linear second´order differential
equations in a Banach space // Sichuan Daxue Xuebao, 25(4): p.421--428, 1988.

################# ######### 217
[2735] Xiao T., Liang J. A note on the propagators of second order linear differential
equations in Hilbert spaces // Proc. Amer. Math. Soc., 113(3): p.663--667, 1991.
[2736] Xiao T., Liang J. Analyticity of the propagators of second order linear differential
equations in Banach spaces // Semigroups Forum, 1992, V.44, 3, p. 356´363.
[2737] Xiao T., Liang J. Cauchy problems for a class of abstract higher´order equations
// Chinese Ann. Math. Ser. A, 18(2): p.135--144, 1997.
[2738] Xiao T., Liang J. Complete second order linear differential equations with almost
periodic solutions // J. Math. Anal. Appl., 163(1): p.136--146, 1992.
[2739] Xiao T., Liang J. Differential operators and C´welposedness of complete second
order abstract Cauchy problems // Pacific J. Math., 1998, 186, N 1, p. 167´200.
[2740] Xiao T., Liang J. Entire solutions of higher order abstract Cauchy problems //
J. Math. Anal. & Appl., 1997, 208 (2), p. 298´310.
[2741] Xiao T., Liang J. Exponential stability of solutions for higher order abstract
Cauchy problems // J. Math. Anal. Appl., 215(2): p.485--498, 1997.
[2742] Xiao T., Liang J. Integrated semigroups, cosine families and higher order abstract
Cauchy problems // Li B. (ed.) et al., Functional analysis in China. Dordrecht:
Kluwer Academic Publishers. Math. Appl., Dordr. 356, p. 351´365 (1996).
[2743] Xiao T., Liang J. Laplace transforms and integrated, regularized semigroups in
locally convex spaces // J. Funct. Anal., 148(2): p.448--479, 1997.
[2744] Xiao T., Liang J. On complete second order linear differential equations in Ba´
nach spaces // Pacific J. Math., 142(1): p.175--195, 1990.
[2745] Xiao T., Liang J. Parabolicity of a class of higher order abstract differential
equations // Proc. Amer. Math. Soc., 120(1): p.173--181, 1994.
[2746] Xiao T., Liang J. Pazy´type characterization for differentiability of propagators
of higher order Cauchy problems in Banach spaces // Discrete Contin. Dynam.
Systems, 5(3): p.651--662, 1999.
[2747] Xiao T., Liang J. Second order linear differential equations with almost periodic
solutions // Acta Math. Sinica (N.S.), 7(4): p.354--359, 1991.
[2748] Xiao T., Liang J. Semigroups arising from elastic systems with dissipation //
Comput. Math. Appl., 33(10): p.1--9, 1997.

218 ################# #########
[2749] Xiao T., Liang J. The Cauchy problem for higher´order abstract differential
equations // Chinese Ann. Math. Ser. A, 14(5): p.523--535, 1993.
[2750] Xiao T., Liang J. The Cauchy problem for higher order abstract differential
equations // Chinese J. Contemp. Math., 14(4): p.305--321, 1993.
[2751] Xiao T.´J., Liang J. The Cauchy problem for higher order abstract dmerential
equations. Lecture Notes in Mathematics. 1701. Berlin: Springer, xii, 300 p.
[2752] Xiao T., Liang J. Well´posedness and exponential growth of a class of complete
second´order linear differential equations in Banach spaces // Sichuan Daxue
Xuebao, 27(4): p.396--401, 1990.
[2753] Xiao T., Liang J. Well´posedness of the Cauchy problem for second´order linear
differential equations in Fr'echet spaces // Acta Math. Sinica, 35(3): p.354--363,
1992.
[2754] Xiao T., Liang J. Widder´Arendt theorem and integrated semigroups in locally
convex space // Sci. China Ser. A, 39(11): p.1121--1130, 1996.
[2755] Xie Yu, Li Ji Yong, and Huang Fa Lun. Asymptotic stability of C 0 semigroups
in Banach spaces// Sichuan Daxue Xuebao, 35(6), p. 810--814, 1998.
[2756] Xu G.Q. Estimation of the essential spectral radius of a perturbed strongly con´
tinuous (C 0 ) semigroup // Acta Math. Sinica, 36(3): p.335--340, 1993.
[2757] Xue X. Perturbations of cosine operator functions // J. Nanjing Univ., Math.
Biq. 10, No.1, p. 93´98 (1993).
[2758] Yagi A. A priori estimates for some quasilinear parabolic system in population
dynamics // Kobe J. Math., 14(2): p.91--108, 1997.
[2759] Yagi A. Abstract quasilinear evolution equations of parabolic type in Banach
spaces // Boll. Un. Mat. Ital. B (7), 5(2): p.341--368, 1991.
[2760] Yagi A. Applications of the purely imaginary powers of operators in Hilbert
spaces // J. Funct. Anal., 73(1): p.216--231, 1987.
[2761] Yagi A. Differentiability of families of the fractional powers of selfadjoint oper´
ators associated with sesquilinear forms // Osaka J. Math., 20(2): p.265--284,
1983.
[2762] Yagi A. Evolution equations of parabolic type // In Miniconference on operator
theory and partial differential equations (North Ryde, 1986), p.327--334. Austral.
Nat. Univ., Canberra, 1986.

################# ######### 219
[2763] Yagi A. Evolution operators of parabolic equations in continuous function space
// In Miniconference on harmonic analysis and operator algebras (Canberra,
1987), p.292--302. Austral. Nat. Univ., Canberra, 1987.
[2764] Yagi A. Fractional powers of operators and evolution equations of parabolic type
// Proc. Japan Acad. Ser. A Math. Sci., 64(7): p.227--230, 1988.
[2765] Yagi A. Generation theorem of semigroup for multivalued linear operators //
Osaka J. Math., 28(2): p.385--410, 1991.
[2766] Yagi A. Global solution to some quasilinear parabolic problem in mathematical
biology // In Functional analysis and related topics, 1991 (Kyoto), p.389--401.
Springer, Berlin, 1993.
[2767] Yagi A. Global solution to some quasilinear parabolic system in population dy´
namics // Nonlinear Anal., 21(8): p.603--630, 1993.
[2768] Yagi A. Norm behavior of solutions to a parabolic system of chemotaxis // Math.
Japon., 45(2): p.241--265, 1997.
[2769] Yagi A. Parabolic evolution equations in which the coefficients are the genera´
tors of infinitely differentiable semigroups // Funkcial. Ekvac., 32(1): p.107--124,
1989.
[2770] Yagi A. Parabolic evolution equations in which the coefficients are the generators
of infinitely differentiable semigroups. II // Funkcial. Ekvac., 33(1): p.139--150,
1990.
[2771] Yagi A. Regularity of functions on an interval with values in the spaces of frac´
tional powers of operators // Lect. Notes in Math., 1986, 1223, c. 293 ´ 229.
[2772] Yagi A. Remarks on proof of a theorem of Kato and Kobayasi on linear evolution
equations // Osaka J. Math., 17(1): p.233--243, 1980.
[2773] Yagi A. Some quasilinear parabolic problems in applied mathematics // In Dif´
ferential equations in Banach spaces (Bologna, 1991), p.255--267. Dekker, New
York, 1993.
[2774] Yamamoto M. On the stabilization of evolution equations by feedback with time´
delay; an operator´theoretical approach // J. Fac. Sci. Univ. Tokyo´Sect. IA´
Math.34 (1987), no. 1, p. 165--191.
[2775] Yamamoto Yoshitaka. Solutions in Besov spaces of a class of abstract parabolic
equations of higher order in time// J. Math. Kyoto Univ., 38(2):201--227, 1998.

220 ################# #########
[2776] Yamamuro S. A note on positive semigroups // Bull. Austral. Math. Soc.´ 1985.´
32, 3.´ p. 339´343.
[2777] Yan Jia An. A perturbation theorem for semigroups of linear operators // Lect.
Notes Math.´ 1988.´ 1321.´ p. 89´91.
[2778] Yoshimoto T. Local mean ergodic theorems in Banach spaces // J. Math. Anal.
Appl. 151, No.2, p. 396´404 (1990).
[2779] Yosida K. Functional analysis. Springer Verlag, Berlin 1980, Series: Die Grund´
lehren der mathematischen Wissenschaften; 123.
[2780] You P.H. Characteristic conditions for a C 0 ´semigroups with continuity in the
uniform operator topology for t ? 0 in Hilbert space // Proc. Amer. Math. Soc.´
1992.´ 116.´ p. 991´997.
[2781] Yousif W.S., Evans D.Y. An iterative algorithm for the solution of a tridigonal
lincar system of equations // Comp. & Math. with Appl.´ 1986, 12A, N 10.´ p.
1019 ´ 1027.
[2782] Yosida K. On the differentiability and the representation of one parameter semi´
groups of linear operator // J. Math. Anal. 1948. V.1. p. 15´21.
[2783] Yovanovi'c B.S. On the convergence of finite´difference schemes for parabolic
equations with variable coefficients // Numer. Math.´ 1989, 54, N4.´ p. 395´404.
[2784] Yuan R. Quasiperiodic solutions and boundedness of solutions for a class of non´
linear differential equations of second order // Nonlinear Anal., Theory Methods
Appl. 31, No.5´6, p. 649´664 (1998).
[2785] Zabczyk J. A note on C 0 ´semigroups // Bull Acad. pol. sci. Ser. Sci. Math.,
astron. et Phys.´ 1975.´ XXIII, 8.´ p. 895´898.
[2786] Zabczyk J. Remarks on the algebraic Riccati eguation in Hilbert space // Appl.
Math. Optim., 1976, 2, 3, p. 251´258.
[2787] Zabczyk J. The fractional calculus and stochastic evolution equations // In
Barcelona Seminar on Stochastic Analysis (St. Feliu de Gu'ixols, 1991), p.222--
234. Birkh?auser, Basel, 1993.
[2788] Zagany B. A transformation of generalized integro´differential operators of the
Krein´Feller´Levy type // Math. Nachr. 130 (1987), p. 245--250.
[2789] Zaidman S. Abstract differential equations // Pitman.´ 1979.´ 130 c.

################# ######### 221
[2790] Zaidman S. Abstract differential equations with almost periodic solutions // J.
Math. Anal. and Appl.´ 1985.´ 107.´ p. 291´299.
[2791] Zaidman S. Almost automorphic solutions of some abstract evolution equations,
II // Inst. Lombardo.´ 1977.´ III(A).´ p. 260´272.
[2792] Zaidman S. Notes on abstract almost periodicity // Riv. Mat. Univ. Parma.´
1979.´ 5.´ p. 837´845.
[2793] Zaidman S. Some remarks on the abstract Cauchy problem in the ultraweak
sense // Ann. Sci. Math. Qu'ebec, 14(1): p.97--107, 1990.
[2794] Zaidman S. Some remarks on the well´posed Cauchy problem on [0; 1) for the
equation Bu 0 (t) = Au(t) in B´spaces // Panamer. Math. J., 6(3): p.25--33, 1996.
[2795] Zaidman S. Topics in abstract differential equations // Nonlinear Anal., 23(7):
p.849--870, 1994.
[2796] Zaidman S. Topics in abstract differential equations. Pitman, V.304, 1994.
[2797] Zaidman S. Topics in abstract differential equations II. Pitman, V.321, 1994.
[2798] Zaidman S. Functional analysis and differential equations in abstract spaces.
Chapman & Hall/CRC, Boca Raton, FL, 1999.
[2799] Zarrabi M. Spectral synthesis and applications to C 0 ´groups // J. Austral. Math.
Soc. Ser. A, 60(1): p.128--142, 1996.
[2800] Zemanek J. Approximation of the Weyl spectrum // Proc. Roy. Irish Acad. 1987.
A87, N 2. p. 177´180.
[2801] Zhang J. Interpolation and extrapolation theorems of regularized cosine operator
functions // (Chinese. English summary) Acta Math. Sci. (Chin. Ed.) 17, No.3,
p. 294´300 (1997).
[2802] Zhang J.Z., Zheng Q. Pseudodifferential operators and regularized cosine func´
tions // Acta Math. Sinica, 41(4): p.767--772, 1998.
[2803] Zhang J.Z., Zheng Q. Pseudodifferential operators and regular semigroups //
Chinese Ann. Math. Ser. A, 19(5): p.613--620, 1998.
[2804] Zhang J.Z., Zheng Q. Wellposedness of parabolic systems on C ff // In Nonlin´
ear partial differential equations and applications (Chongqing, 1997), p.231--234.
World Sci. Publishing, River Edge, NJ, 1998.

222 ################# #########
[2805] Zhang J., Zheng Q. On ff´times integrated cosine functions. Math. Japon.,
50(3):401--408, 1999.
[2806] Zhang Lianping. The characteristic of eventually uniformly continuous C 0 semi´
groups on a Hilbert space. Systems Sci. Math. Sci., 12(1), p. 49--54, 1999.
[2807] Zhao Rong Xia. Smooth distribution semigroups and integrated semigroups---the
degenerate case// Chinese Ann. Math. Ser. A, 21(2), p. 175--188, 2000.
[2808] Zhao R. The spectral mapping theory for locally integrable semigroups // (Chi´
nese. English summary) Adv. Math., Beijing 26, No.6, p. 515´522 (1997).
[2809] Zheng Q. A class of complete second´order abstract Cauchy problems // Chinese
Ann. Math. Ser. A, 13(3): p.393--402, 1992.
[2810] Zheng Q. A Hille´Yosida theorem for the higher´order abstract Cauchy problem
// Bull. London Math. Soc., 24(6): p.531--539, 1992.
[2811] Zheng Q. Abstract differential operators and evolution equations // Tuebin´gen:
Univ. Tuebingen, Math. Fak. 92 p. (1997).
[2812] Zheng Q. Analyticity of complete second´order linear differential equations in
Banach spaces // Kexue Tongbao (Chinese), 34(5): p.326--328, 1989.
[2813] Zheng Q. Applications of integrated semigroups to higher order abstract Cauchy
problems // Systems Sci. Math. Sci., 5(4): p.316--327, 1992.
[2814] Zheng Q. Controllability of a class of linear systems in Banach space // Proc.
Am. Math. Soc. 123, No.4, p. 1241´1251 (1995).
[2815] Zheng Q. Existence of solutions and comparison theorems for nonlinear Volterra
integral equations in Banach spaces // J. Math. (Wuhan), 9(2): p.141--150, 1989.
[2816] Zheng Q. Exponential stability and perturbation problems for linear evolution
systems in Banach spaces // Sichuan Daxue Xuebao, 25(4): p.401--411, 1988.
[2817] Zheng Q. Global solutions to abstract differential equations and their applications
// Acta Math. Sci. (Chinese), 11(2): p.225--233, 1991.
[2818] Zheng Q. Higher order abstract Cauchy problems with N´closedness // Math.
Japon., 38(3): p.531--539, 1993.
[2819] Zheng Q. Holomorphic property of a linear damped system in Banach spaces //
Dongbei Shuxue, 7(2): p.150--157, 1991.

################# ######### 223
[2820] Zheng Q. Integrated cosine functions // Int. J. Math. Math. Sci. 19, No.3, p.
575´580 (1996).
[2821] Zheng Q. Integrated semigroups and abstract Cauchy problems // Adv. in Math.
(China), 21(3): p.257--273, 1992.
[2822] Zheng Q. Nonlinear Volterra integral equations in Banach spaces and their ap´
plications // Math. Appl., 2(1): p.9--18, 1989.
[2823] Zheng Q. On a class of nonlinear integro´differential equations in Banach spaces.
I // Sichuan Daxue Xuebao, 1986(4): p.1--9.
[2824] Zheng Q. On a class of nonlinear integro´differential equations in Banach spaces.
II // Sichuan Daxue Xuebao, 26(3): p.245--251, 1989.
[2825] Zheng Q. Perturbations and approximations of integrated semigroups // Acta
Math. Sinica (N.S.), 9(3): p.252--260, 1993.
[2826] Zheng Q. Solvability and regularity of a class of inhomogeneous higher order
abstract Cauchy problems // J. Math. (Wuhan), 10(2): p.199--212, 1990.
[2827] Zheng Q. Solvability and well´posedness of higher´order abstract Cauchy prob´
lems // Sci. China, Ser. A 34, No.2, p. 147´156 (1991).
[2828] Zheng Q. Some classes of operator matrices that generate integrated semigroups
// Acta Math. Sinica, 36(4): p.456--467, 1993.
[2829] Zheng Q. Strongly continuous M ,N´families of bounded operators // Integral
Equations Oper. Theory 19, No.1, p. 105´119 (1994).
[2830] Zheng Q. The analyticity and exponential stability of higher´order abstract
Cauchy problems // J. Huazhong Univ. Sci. Tech., 22(10): p.120--126, 1994.
[2831] Zheng Q. Uniqueness, existence and wellposedness of solutions of first order
abstract Cauchy problem // Ann. Differential Equations, 6(3): p.381--388, 1990.
[2832] Zheng Q. Applications of semigroups of operators to non´elliptic differential
operators. Chinese Sci. Bull., 45(8):673--682, 2000.
[2833] Zheng Q., Lei Y. Abstract parabolic systems and regularized semigroups // Pa´
cific J. Math., 182(1): p.183--199, 1998.
[2834] Zheng Q., Lei Y. Exponentially bounded C´cosine functions of operators // (Chi´
nese. English summary) J. Syst. Sci. Math. Sci. 16, No.3, p.242´252 (1996).

224 ################# #########
[2835] Zheng Q., Lei Y. Exponentially bounded C´semigroup and integrated semigroup
with nondensely defined generators. I.: Approximation // Acta Mathematica
Scientia 13 (1993), p. 251--260.
[2836] Zheng Q., Lei Y.S. Exponentially bounded C´semigroups and integrated semi´
groups with non´densely defined generators. III. Analyticity // Acta Math. Sci.
(English Ed.), 14(1): p.107--119, 1994.
[2837] Zheng Q., Lei Y.S. Integrated C´semigroups // J. Huazhong Univ. Sci. Tech.,
20(5): p.181--187, 1992.
[2838] Zheng Q., Lei Y.S. Polynomials in the generator of a bounded, strongly contin´
uous group // J. Huazhong Univ. Sci. Tech., 21(5): p.171--175, 1993.
[2839] Zheng Q., Liu L. Almost periodic regularized groups, semigroups, and cosine
functions // J. Math. Anal. Appl. 197, No.1, p. 90´112, Art. No.0009 (1996).
[2840] Zheng Q., Zhang J. Gaussian estimates and regularized groups // Proc. Amer.
Math. Soc., 127(4): p.1089--1096, 1999.
[2841] Zhong Y. Functional positivity and invariant subspaces of semigroups of opera´
tors // (English) Houston J. Math. 19, No.2, p. 239´262 (1993).
[2842] Zhong Y. Irreducible semigroups of functionally positive nilpotent operators //
Trans. Am. Math. Soc. 347, No.8, p. 3093´3100 (1995).
[2843] Zhou M., Chen W. The probabilistic representation formulae for cosine operator
functions // Approximation Theory Appl. 9, No.1, p. 42´52 (1993).
[2844] Zhou M., Anastassiou G.A. Representation formulae for (Co) m´parameter op´
erator semigroups // Ann. Pol. Math. 63, No.3, 247´272 (1996).
[2845] Zhou X., Yan P. On nonlocal problems of semilinear evolution equation // (Chi´
nese. English summary) J. Anhui Norm. Univ., Nat. Sci. 18, No.2, p. 10´15
(1995).
[2846] Zlotnik A.A. Some finite´element and finite´difference methods for solving math´
ematical physics problems with non´smooth data in n´dimensional #ube. Part 1
//Sov. J.Numer. Anal. and Math. Model. 1991. V.6. N5. P.421 ´ 451.
[2847] Zlotnik A.A. Convergence rate estimates of finite´element methods for second´
order hyperbolic equations. ´Numerical methods and applications (G.I.Marchuk,
ed.).´Boca Raton´Ann Arbor´London´Tokyo, CRC Press. 1994. P.155 ´ 220.

################# ######### 225
[2848] Zlotnik A.A., Zaitseva S.B. Error analysis in L 2 (Q) for symmetrized locally
one´dimensional methods for the heat equation //Russ.J.Numer. Anal. and
Math.Model. 1998. V.13. N.1. P.69´91.