A computational method for integro-differential hyperbolic equation with integral conditions

Abstract

C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 6 2 , N u m b e r 1 , P a g e s 1 3 1 -1 4 2 (2 0 1 3 ) IS S N 1 3 0 3 -5 9 9 1 A COMPUTATIONAL METHOD FOR INTEGRO-DIFFERENTIAL HYPERBOLIC EQUATION WITH INTEGRAL CONDITIONS* AHCENE MERAD AND ABDELFATAH BOUZIANIAbstract. The subject of this work is to prove existence, uniqueness, and continuous dependence upon the data of solution to integrodi¤erential hyperbolic equation with integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, the solution by using a numerical technique for inverting the Laplace transforms is obtained.