About one Boundary Value Problem for the Mixed Equation with Discontinuous Conjugation Conditions
In this paper the existence and the uniqueness of the solution of a classical boundary value problem for the mixed second order equation of parabolic-hyperbolic type have been proved in the limited region with conjugation conditions involving the integral operator. The existence of the solution has been established by the method of reduction to the problem of solubility of corresponding integral Fredgolm equation, and the method of energy integrals has been used to establish the uniqueness of the solution.