Open Access Research

Galerkin method applied to telegraph integro-differential equation with a weighted integral condition

A Guezane-Lakoud1, N Bendjazia1* and R Khaldi2

Author Affiliations

1 Faculty of Sciences, Laboratory of Advanced Materials, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria

2 Faculty of Sciences, Laboratory LASEA, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria

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Boundary Value Problems 2013, 2013:102  doi:10.1186/1687-2770-2013-102

Published: 24 April 2013

Abstract

In this work, we study a telegraph integro-differential equation with a weighted integral condition. By means of the Galerkin method, we establish the existence and uniqueness of a generalized solution.

MSC: 35L05, 35L20, 35L99.

Keywords:
integro-differential equation; integral conditions; approximate solution; Galerkin method