This work focuses on solving inverse problem for a wave equation with a non-local potential. The novelty of the work is in the statement of the forward and inverse non-stationary problems for a wave equation with a non-local potential and the method of solving them. The method of solving the forward and inverse non-stationary problems is based on the close use of sufficiently developed approaches for the stationary Shrodinger equation. From the mathematical physics point of view, the practical value of this work is in the development of methods for determining the discrete spectrum of...