Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 1

A COMPUTATIONAL METHOD FOR INTEGRO-DIFFERENTIAL HYPERBOLIC EQUATION WITH INTEGRAL CONDITIONS

Sayfa
131–142
DOI
—

Abstract

The subject of this work is to proveexistence,uniqueness,andcon- tinuous dependence upon the data of solution to integrodifferential 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 Laplacetransforms isobtained.