On solvability of an initial-boundary value problem for the nonlocal hyperbolic equation.

This paper is devoted to the study of solvability of the initial-boundary value problem for a hyperbolic equation with involution. In the problem under consideration, the order of the boundary operators exceeds the order of the equation. Theorems on the existence and uniqueness of the solution of the studied problem are proved. The problem is studied by the Fourier method and the explicit form of the solution to the problem is obtained in the form of a series. [ABSTRACT FROM AUTHOR]