Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 60734, 16 pages
doi:10.1155/JIA/2006/60734

Global solutions for a nonlinear hyperbolic equation with boundary memory source term

Fuqin Sun1 and Mingxin Wang2

 1Department of Mathematics and Physics, Tianjin University of Technology and Education, Tianjin 300222, China
2Department of Mathematics, Southeast University, Nanjing 210096, China
Received 21 January 2005; Accepted 17 August 2005

Abstract

We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solution.