THE EXISTENCE THEOREM OF SOLUTION OF A NEUMANN TYPE PROBLEM FOR THE TRICOMI EQUATION
In this paper we consider the problem of a Neumann-type boundary value problem for a mixed-type equation, which is a mathematical model of transonic and supersonic flows. The auxiliary problems are solved in the elliptic and hyperbolic domains. As a result of "gluing" the solutions of these problems on the line of type change, a singular integral equation is obtained. The existence of a solution of this equation implies the existence of a solution for the generalized Tricomi equation.