Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 60734, 16 pages
Global solutions for a nonlinear hyperbolic equation with boundary memory source term
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
Copyright © 2006 Fuqin Sun and Mingxin Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.