Discrete Dynamics in Nature and Society
Volume 2006 (2006), Issue 4, Article ID 32018, 11 pages
doi:10.1155/DDNS/2006/32018
Multiple positive solutions of Sturm-Liouville equations with singularities
Zenggui Wang1
, Lishan Liu1
and Yonghong Wu3
1Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China
3Department of Mathematics and Statistics, Curtin University of Technology, Perth 6845, Australia
Abstract
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.