Abstract:
For mixed type equation we study a problem with Bitsadze–Samarskii conditions on boundary characteristic on special inner curve and on a segment of degeneration. With the help of the maximum principle we prove uniqueness of a solution to the problem and with the help of the method of integral equations we prove its existence.
Keywords:Bitsadze–Samarskii condition, functional equation, Tricomi type integral equation, index.