Nonlocal problems for one-dimensional hyperbolic equation

This article discusses some nonlocal problems and methods of proving solvability of them. We show that choosing of effective method depends on the form of nonlocal conditions. One of these methods is based on reducing nonlocal problem to a boundary-value problem for a loaded equation and allows us to use many well-known methods of justification solvability. In the article, we consider the problem with nonlocal integral conditions for a one-dimensional hyperbolic equation and prove the equivalence to a problem with classical boundary conditions for a loaded equation.