Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 32018, 11 pages

Multiple positive solutions of Strum-Liouville equations with singularities

Zenggui Wang,1 Lishan Liu,1,2 and Yonghong Wu2

1Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China
2Department of Mathematics and Statistics, Curtin University of Technology, Perth 6845, Australia

Received 20 October 2005; Accepted 8 January 2006

Copyright © 2006 Zenggui Wang 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.


The existence of multiple positive solutions for Strum-Liouville boundary value problems with singularities is investigated. By applying a fixed point theorem of cone map, some existence and multiplicity results of positive solutions are derived. Our results improve and generalize those in some well-known results.