Open Access Research Article

Positive Solutions for Nonlinear th-Order Singular Nonlocal Boundary Value Problems

Xin'an Hao1*, Lishan Liu1,2 and Yonghong Wu2

Author Affiliations

1 Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, China

2 Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia

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Boundary Value Problems 2007, 2007:074517 doi:10.1155/2007/74517


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2007/1/074517


Received:23 June 2006
Revisions received:16 January 2007
Accepted:26 January 2007
Published:5 April 2007

© 2007 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.

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