Faculties and Institutes

The Faculty of Mathematics and Informatics

The Department of Differential Equations and Geometry

A department is formed in 2010 as a result of confluence of department of differential and integral equations and department of geometry.

The department of differential and integral equations was established in 1973. In the period of its making it was directed by Professor Yu.I. Cherskiy. From 1980 to 2000 year Professor S.K. Persidsky was the head of the department. From 2000 to 2010 year the department was directed by Professor O.V. Anashkin.

The department of geometry was formed in May, 1971. The associate professor V.N. Skridlov was the first head of the department. From 1976 to 1998 year it was directed by professor V.F. Ignatenko. From 1998 to 2010 year it was directed by associate professor О.I. Rudnitsky.

Department Members

Oleg V. Anashkin, the Head of the Department, Doctor of Physical and Mathematical Sciences, Professor.

Courses Taught:

• Differential Equations (lectures);
• Special Course on Bases of Theory of Difference Equations (lectures);
• Special Course on Selected Questions of Theory of Difference Equations (lectures).

Yevgeniy P. Belan, Doctor of Physical and Mathematical Sciences, Professor.

Courses Taught:

• Equations of Mathematical Physics (lectures);
• Quality Theory of Differential Equations (lectures and practice);
• Singularly Perturberd Problems (lectures);
• Special Course on Elements of Theory of Bifurcation;
• Special Course on Dynamics of structures in the infinity dynamic systems.

Alexandr I. Krivoruchko, Candidate of Physical and Mathematical Sciences, Associate Professor.

Courses Taught:

• Algebra and Geometry (lectures);
• Non-Euclidian Geometry (lectures).

Vladimir A. Lukianenko, Candidate of Physical and Mathematical Sciences, Associate Professor.
Courses Taught:

• Operations Research (lectures and practice);
• Equations of Mathematical Physics (lectures and practice);
• Special Course on Convolution Type of Equations (lectures);
• Special Course on Extremum Problems (lectures).

Vasiliy I. Myagkov, Candidate of Physical and Mathematical Sciences, Associate Professor.

Courses Taught:

• Analytical Geometry (lectures);
• Differential Geometry and Tensor Analysis (lectures);
• Riemanian Geometry and Tensor Analysis (lectures);
• Projectiv Geometry (lectures);
• Computers technologies in mathematics (practice).

Svyatoslav S. Pavlichkov, Candidate of Physical and Mathematical Sciences, Associate Professor.

Courses Taught:

• Calculus of Variations and Optimization Methods (lectures);
• Differential Equations (lectures and practice);
• Computers technologies in mathematics (practice);
• Optimization Methods (lectures);
• Special Course on Geometric nonlinear control theory (lectures);
• Special Course on Stabilization of the nonlinear control systems (lectures).

Oleg I. Rudnitskiy,the Dean of the Faculty, Candidate of Physical and Mathematical Sciences, Associate Professor.

Courses Taught:

• Differential Geometry and Topology (lectures);
• Higher Mathematics (lectures).

Valeriy A. Ternovskiy, Candidate of Physical and Mathematical Sciences, Associate Professor.

Courses Taught:

• Higher Mathematics (lectures);
• Analytical Geometry and Linear Algebra (lectures and practice); 
• Fundamentals of Vector and Tensor Analysis (lectures).

Angelica A. Kornuta, Senior Lecturer.

Courses Taught:

• Higher Mathematics (lectures);
• Differential Geometry (practice);
• Projective Geometry (practice).

Ludmila M. Lvovskaya, Senior Lecturer.

Courses Taught:

• Differential Equations (lectures and practice);
• Special Course on Problems with parameters.

Tatiana I. Apanovich, Assistant.

Courses Taught:

• Higher Mathematics (practice).

Olga V. Mit'ko, Assistant.

Courses Taught:

• Differential Equations (practice);
• Equations of Mathematical Physics (practice);
• Calculus of Variations and Optimization Methods (practice);
• Optimization Methods (practice).

Svetlana P. Plyshevskaya, Assistant.

Courses Taught:

• Higher Mathematics (practice);
• Differential Geometry (practice);
• Analytical Geometry (practice).

Scientific Work

The basic directions of scientific work are as follows:

• development of research methods of stability on Lyapunov of position of equilibrium for ordinary differential, difference, and functional and differential equations;
• development of asymptotic and qualitative research methods of bifurcation of birth of revolving structures in models of complex physical systems;
• mathematical models of economy;
• algebraic and analytical methods in geometry;
• differential geometry.

Since 1993, the Department on a regular basis (once in two years) organizes and conducts the International Crimean School "Method of Lyapunov Functions and its Applications" in Alushta, that continues a series of mathematical schools on the stability theory, conducted in Kazan, and then in Irkutsk. Professor O.V. Anashkin supervises the work of its organizing committee. Leading experts from Ukraine, Russia, Belarus and other countries take part in the work of the School.