Tricomi problem for mixed parabolic-hyperbolic equation with dynamic-type boundary condition

Abstract

In this paper, we study an analogue of Tricomi problem for a parabolichyperbolic equation of the first type. To solve the problem for the heat equation, we use properties of the spectral problem with a spectral parameter in the boundary conditions. We show the basicity of the spectral problem with the spectral parameter in the boundary conditions. The conditions for the correctness of the formulated Tricomi problem are found.