Abstract:
Using an alternating method of Schwartz type, we prove the unique solvability of the elliptic-hyperbolic equation in the class of generalized solutions of an analog of the Tricomi problem with nonlocal integral conjugation condition for the case of an arbitrary approach of the elliptic boundary of the domain to the line of type change with the exception of the case of tangency.
Keywords:elliptic-hyperbolic equation, Tricomi problem, alternating method of Schwartz type, Goursat problem, Riemann function, maximum principle.