Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 504982, 12 pages
doi:10.1155/2010/504982
Research Article

On Lyapunov-Type Inequalities for Two-Dimensional Nonlinear Partial Systems

Lian-Ying Chen,1 Chang-Jian Zhao,1 and Wing-Sum Cheung2

1Department of Mathematics, China Jiliang University, Hangzhou 310018, China
2Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

Received 27 February 2010; Accepted 23 June 2010

Academic Editor: Alberto Cabada

Copyright © 2010 Lian-Ying Chen et al. 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 establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved.