Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 69073, 12 pages
doi:10.1155/DDNS/2006/69073
Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities
Fuyi Xu1
, Yonghong Wu2
, Lishan Liu3
and Yunming Zhou1
1School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, Shandong, China
2Department of Mathematics and Statistics, Curtin University of Technology, Perth 6845, WA, Australia
3Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China
Abstract
We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.