ON SOLVABILITY OF THE INTEGRODIFFERENTIAL HYPERBOLIC EQUATION WITH PURELY NONLOCAL CONDITIONS

In this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal （integral） conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique （Stehfest algorithm） by inverting the Laplace transform.