MATHEMATICS

An analogue of the problem of A.M. Nakhushev for the Bitsadze-Lykov equation

O. A. Repin

Samara State University of Economics, Samara

Abstract: For the Bitsadze-Lykov equation, a problem with a displacement is studied, the boundary condition of which contains a combination of generalized fractional integrodifferentiation operators. The unique solvability of the problem under study is proven, and the solution is obtained in explicit form.

Keywords: Bitsadze-Lykov equation, fractional integrodifferentiation operator, generalized operator

UDC: 517.956.3