Department of Differential Equations

The main directions of investigations carried out at the Chair is theory of ordinary and partial differential equations. The topics of the papers published by the members of the staff are as follows

• group-theoretical analysis of differential equations,
• generalized symmetries and constructions of solutions of nonlinear equations of Mathematical Physics,
• spectral and asymptotic analysis of differential operators,
• mathematical scattering theory of Schroedinger equation,
• hyperbolic systems of the partial differential equations and uniqueness and existence of the functional-differential equations,
• applications of the Legendre dual functional to the spectral exponent for some classes of the functional operators,
• harmonic analysis and its applications to the theory of special functions,
• stochastic analysis and its applications.