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

Boundary value problems

R Khaldi¹  A Guezane-Lakoud²  N Bendjazia² 

[1] Faculty of Sciences, Laboratory LASEA, Badji Mokhtar-Annaba University, Annaba, Algeria;Faculty of Sciences, Laboratory of Advanced Materials, Badji Mokhtar-Annaba University, Annaba, Algeria

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

DOI  :  10.1186/1687-2770-2013-102

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY