Abstract and Applied Analysis
Volume 2014, Article ID 728760, 6 pages
http://dx.doi.org/10.1155/2014/728760
Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback
1College of Computer Science, Beijing University of Technology, Beijing 100124, China
2School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
Received 22 January 2014; Accepted 4 March 2014; Published 10 April 2014
Academic Editor: Dragoş-Pătru Covei
Copyright © 2014 Bei Gong and Xiaopeng Zhao. 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.
Abstract
We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term.