# Department of Integral and Differential Equations

08.2009

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The department provides teaching of the courses of differential equations, integral equations and the elements of functional analysis, calculus of variations and optimization methods, dynamical systems, Foundations of actuarial and financial analysis.

The department staff study topical problems of the theory of integral and invariant sets of nonlinear dynamical systems, asymptotic methods and methods of averaging of nonlinear mechanics, the theory of impulsive systems, numerical-analytical methods for solving boundary value problems, multi-frequency oscillations in Hamiltonian systems, asymptotic behavior of solutions of differential equations, the theory of nonlinear evolution equations and inclusions, the stability theory of stochastic differential equations, the qualitative behavior of solutions of multivalued evolution systems, the theory of optimal control.

**Permanent faculty**

Mykola O. Perestyuk – Head of the department, Full Professor, Academician of NAS of Ukraine, Dr.Hab.

Oleksiy V. Kapustyan – Full Professor, Dr.Hab.

Yuriy V. Loveikin – Associate Professor, Ph.D.

Anna V. Sukretna – Associate Professor, Ph.D.

NinaV. Zadoianchuk – Associate Professor, Ph.D.

Yulia V. Fedorenko – Assistant Professor, Ph.D.

Lidiya O. Chorna - Engineer of the 1-st category

Alla O. Byvalina - Engineer

**Scientific group**

Farhod A. Asrorov - Researcher of Laboratory of differential equations and their applications in mechanics, Ph.D.

Tetyana M. Trofimchuk - Senior engineer-mathematician of Laboratory of differential equations and their applications in mechanics

Sergiy V. Kuchuk-Yatsenko - Engineer-mathematician of the 1-st category of Laboratory of differential equations and their applications in mechanics

Vyacheslav I. Rozumnyuk – Head of Laboratory of differential equations and their applications in mechanics, Senior researcher, Ph.D.

Oleksandr V. Zaycev - Senior researcher of Laboratory of differential equations and their applications in mechanics, Ph.D.

Leonid K. Yaroviy - Senior researcher of Laboratory of differential equations and their applications in mechanics, Ph.D.

**Invitee faculty**

Anatoliy M. Samoilenko – Director of Institute of Mathematics NAS of Ukraine, Academician of NAS of Ukraine, Dr.Hab.

Oleksandr A. Boichuk – Head of the Laboratory of boundary value problems of differential equations theory of the Department of differential equations and oscillation theory, Institute of Mathematics NAS of Ukraine, Full Professor, Dr.Hab.