Boundary Value Problems
Volume 2007 (2007), Article ID 74517, 10 pages
Positive Solutions for Nonlinear th-Order Singular Nonlocal Boundary Value Problems
1Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China
2Department of Mathematics and Statistics, Curtin University of Technology, Perth 6845, WA, Australia
Received 23 June 2006; Revised 16 January 2007; Accepted 26 January 2007
Academic Editor: Ivan Kiguradze
Copyright © 2007 Xin'an Hao 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.
We study the existence and multiplicity of positive solutions for a class of th-order singular
nonlocal boundary value problems, , where . The singularity may appear at and/or . The Krasnosel'skii-Guo theorem on cone expansion and
compression is used in this study. The main results improve and generalize
the existing results.