Nonlocal problem for degenerating hyperbolic equation

We investigate a nonlocal problem for a degenerating hyperbolic equation in the domain, which is bounded by the characteristics of the equation. Boundary conditions include a linear combination of operators of fractional in the sense of Riemann-Liouville integrodifferentiation. The uniqueness of solution of the problem is proved by a modified Tricomi method. The existence is reduced to the equivalent of the solvability of a singular integral equation with Cauchy kernel or Fredholm integral equation of the second kind.