Existence and Uniqueness for a Solution of Pseudohyperbolic equation with Nonlocal Boundary Condition

Abstract

Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonl ocal) conditions. We derive useful results involving this c lass including (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining such a problem to solve the using a numerical technique (Stehfest algorithm) which provides to show the accuracy of the proposed method.