Abstract:
In this work we prove the unique solvability of a Bitsadze–Samarskii problem for a degenerate parabolic-hyperbolic equation of second kind, when on the first and second part of characteristics Bitsadze–Samarskii condition is imposed.
Keywords:degenerate parabolic-hyperbolic equation, equation of second kind, non-local problems, Bitsadze–Samarskii condition, unique solvability, maximum principle, Fredholm integral equation.