Web site: http://math.univer.kharkov.ua/

Scientific cooperation ofšthe School ofšMechanics and Mathematics with scientists from higher educational institutions and research institutes ofšUkraine, CIS countries and far-abroad countries contributes tošensuring ašhigh level ofšexpertise ofšour alumni.

Science, Branches

Scientists ofšthe School ofšMechanics and Mathematics have the most significant achievements inšvarious fields ofšmathematics; they are founders ofšmany scientific schools inšKharkiv, Kyiv, St. Petersburg and other cities. Today each Department ofšthe School ofšMechanics and Mathematics conducts various kinds ofšresearch inšseveral fundamental areas, anšoutline ofšašfew ofšthem follows.

The Department ofšGeometry (acting Head ofšthe Department: Corresponding Member ofšthe National Academy ofšSciences ofšUkraine O. Yampolskyi) conducts research inšseveral new areas: geometry ofšsubmanifolds ofšFinsler spaces, mean curvature flows, geometry ofšfoliations and distributions, harmonic maps and Grassmann image inšLie groups, geometry ofšsubmanifolds inšthe Heisenberg group, geometry ?inšgeneral? inšstandard three-dimensional geometries.

Research atšthe Department ofšMathematical Physics and Calculus Mathematics (headed byšCorresponding Member ofšthe National Academy ofšSciences ofšUkraine I. Chuieshov) primarily focusesšon: nonlinear problems ofšmathematical physics and qualitative theory ofšinfinite-dimensional dynamical systems, numerical methods inšsingular and hypersingular integral equations ofšelectrodynamics and theory ofšdiffractions, problems ofšcontinuum mechanics and electrodynamics.

Atšthe Department ofšDifferential Equations and Control (headed byšFull Professor V. Korobov) the areas ofšscientific interest are: general theory ofšanalytical solution ofšthe problem ofšacceptable positional control synthesis with control constraints and its derivatives tošthe given order which isšbased onšthe controlled function method and isšfurther development ofšLyapunov direct method, the problem ofšMarkov?s moments atšthe minimum possible interval and its application inšthe optimal control theory, the problem ofšnonlinear controlled systems mapping onšlinear controlled systems, the problem ofšdynamic systems controllability and stabilization, control ofšTymoshenko beam mode, algebraic methods inštheory ofšnonlinear controlled systems.

Research atšthe Department ofšMathematical Analysis (headed byšFull Professor V. Hordevskyi) isšfocusedšon: complex and convex analysis, theory ofšsubharmonic functions, growth and distribution ofšvalues ofšentire and meromorphic functions, mathematical and statistical physics, different classes ofšdifferential equations including nonlinear integro-differential equations with ašretarded argument inšBanach spaces, ergodic dynamical systems inšpartial derivatives.

The Department ofšMathematical Modeling and Software (headed byšFull Professor A. Rutkas) carries out researchšin: mathematical modeling ofševolution ofšphysical and financial and economic systems, application ofšspectral analysis and probabilistic statistical methods, theory ofšfunctional differential, impulse and difference equations ofšSobolev type, operator sheaf spectral theory.

The scientific interests ofšthe Department ofšTheory ofšFunctions and Functional Analysis (headed byšFull Professor S. Favorov) liešin: theory ofšanalytic functions, analytic theory ofšprobabilities, geometry ofšBanach spaces, algebra.

Areas ofšscientific interest atšthe Department ofšTheoretical and Applied Mechanics (headed byšAssociate Professor N. Kizilova) are: modeling ofšenvironments with complicated properties inšelectromagnetic fields, hydromagnetic phenomena, balance state and stability ofšforms ofšfree liquid surfaces that are being magnetized and polarized and ofšsolids levitating inšthe electromagnetic field, dynamics ofšshock waves, properties ofšnanolayer functional coatings, the flow ofšliquids inšthe environment (river beds, ecosystems), modeling ofšarterial, locomotive and dental human body systems, thermodynamics ofšbiological growth, long-range transport ofšliquids inšplants and animals, biotermohydromechanics, optimum biomechanical systems.

Atšthe Department ofšHigher Mathematics and Information Science (Associate Professor V.šT. Lysytsia acting for the head ofšthe department) research mainly focusesšon: model representation ofšnonlinear nonselfadjoint and non-unitary operators and their application, theory ofšstochastic processes, spectral properties ofšstochastic processes inšparticular, methods ofšsolving problems ofšmathematical physics, theory ofšnonlinear oscillations, inverse problems, theory ofšdiffraction, the problem ofšcomputational mathematics and electrodynamics, geometry ofšmanifolds and submanifolds, Hamilton systems with closed trajectories.

The Department ofšTheoretical and Applied Information Science (headed byšFull Professor H. Zholtkevych) centers its scientific explorationsšon: mathematical and computer modeling and its application inšsoftware development and research ofšinformation and communication, natural and socio-economic systems, mathematical logic, theory ofšcalculability and its application inšthe theory ofšprogramming and formal software verification, soft computing and its applications inšmathematical statistics and software engineering, quantum information science.

Atšthe end ofšthe 4th year ofštraining students defend their Bachelor?s degree qualification papers. Bachelor?s degree holders are enrolled inšMaster?s programs based onšthe results ofšthe competition where their academic performance during the past 4šyears and the Bachelor?s diploma are taken into consideration. Both graduates ofšthe School ofšMechanics and Mathematics and graduates ofšany other higher educational institution having diplomas inšMathematics, Information Science, Applied Mathematics can apply for admission tošašMaster?s program. The departments preparing Masters inšthe corresponding speciality provide teaching ofšspecial courses and supervise diploma papers throughout the entire term ofšstudies.