Agarwal R.P., O'Regan D., Grace S.R. - Oscillation Theory for Difference and Functional Differential Equations :: Электронная библиотека попечительского совета мехмата МГУ

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Agarwal R.P., O'Regan D., Grace S.R. - Oscillation Theory for Difference and Functional Differential Equations

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Название: Oscillation Theory for Difference and Functional Differential Equations

Авторы: Agarwal R.P., O'Regan D., Grace S.R.

Аннотация:

This book reviews material from more than three hundred publications on the oscillation theory of difference and functional differential equations of various types. For difference equations, a large number of new concepts are explained and supported by interesting theoretical developments. For differential equations, simplified versions of several new integral criteria for oscillations are presented. Proofs which illustrate the various strategies and ideas involved are given. This book should be a stimulus to the further development of the theory.
Audience: This work will be of interest to mathematicians and graduate students in the disciplines of theoretical and applied mathematics.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 337

Добавлена в каталог: 04.07.2008

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Предметный указатель

$(f, \textbf{R}, \leq)$ -oscillatory      20
Almost oscillatory      65 168
Archimedean space      25
Chebyshev polynomials of the first kind      10
Chebyshev polynomials of the second kind      12
Concave solution      117 119
Convex solution      117 119
Damped functional differential equations      286
Discrete Green's theorem      119
Discrete Jansen's inequality      120
Discrete Laplacian      118
Distributed deviating arguments      117
Forced functional differential equations      291
Function of degree m      167
Generalized zeros      3
Hermite polynomials      12
kth quasi-difference      94
kth r-difference      94
Legendre polynomials      13
Linearized oscillation      264
Mixed difference equations      79
Negative semicycle      8
Neutral difference equations      73
Neutral differential equations      252 261 286
Neutral differential equations of mixed type      265
Neutral system of difference equations      143
Nonlinear neutral networks      251
Nonoscillatory      3 14 143 309
Nonoscillatory around $\theta$       25
Nonoscillatory around 0      27 28 32
Oscillatory      27 28 40 143 149 167 309
Oscillatory across a family $\gamma$       29

Oscillatory around $a \in X$       20 23
Oscillatory around $a \in \textbf{R}$       3
Oscillatory around a sequence      3
Oscillatory in relation to a family $X_{\gamma}$       36
Oscillatory in relation to a set of discrete sections      40
Oscillatory in relation to a set of properties $(p_{1}, p_{2}, ..., p_{k})$       38
Oscillatory in the global sense      14
Oscillatory in the point-wise sense      14
Oscillatory on a set J      39
Partial difference equation with continuous variables      149
path argument      29
Periodic ( $\tau$ -period)      6
Periodic oscillatory      6
Perturbed functional equations      249
Positive semicycle      7
Property A      168
Property P      167
Quasi-derivative      275 291
Quasilinear difference equations      42
Quickly oscillatory around $a \in \textbf{R}$       3
Regular oscillations      6
Slowly increasing      195
Strictly oscillatory around $0 \in \textbf{R}$       3
Strictly oscillatory around $a \in \textbf{R}$       3
Sublinear      50 176
Sublinear forced equations      247
Superlinear      50 176
Superlinear forced equations      244
System of delay differential equations      309
System of difference equations      143
Taylor's formula with integral remainder      169
Type r[k]      95

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