EXISTENCE AND UNIQUENESS OF SOLUTIONS TO PSEUDOHYPERBOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITION

Ahcene Merad

Abstract


The aim of this paper is to prove existence,uniqueness,and con-
tinuous dependence upon the data of solution to pseudohyperbolic equation
with purely integral (nonlocal) conditions.The proofs are based on a priory
estimates and Laplace transform method. After,we obtain the solution by us-
ing a numerical technique(Stehfest algorithm) for inverting the Laplace trans-
forms.Numerical results are provides to show the accuracy of the proposed
method.

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