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.