A problem with gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind

Abstract

This work is devoted to a formulation and an investigation of a boundary value problem with Gellerstedt conditions on different characteristics for the loaded parabolic-hyperbolic type equation of the second kind. By using the extremum principle and the method of energy integrals, there are proved the uniqueness of solution of the formulated problem, and the existence of a solution to the problem - by the method integral equations.