Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 865096, 9 pages
doi:10.1155/2010/865096
Research Article

Lyapunov Inequalities for One-Dimensional p-Laplacian Problems with a Singular Weight Function

Inbo Sim1 and Yong-Hoon Lee2

1Department of Mathematics, University of Ulsan, Ulsan 680-749, South Korea
2Department of Mathematics, Pusan National University, Pusan 609-735, South Korea

Received 8 October 2009; Accepted 24 November 2009

Academic Editor: Yeol Je Cho

Copyright © 2010 Inbo Sim and Yong-Hoon Lee. 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 estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional p-Laplacian problems with weight functions having stronger singularities than L1.