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Open Access Research Article

Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems

Yigang Sun

Author Affiliations

Department of Applied Mathematics, Hohai University, Nanjing 210098, China

Boundary Value Problems 2008, 2008:574842  doi:10.1155/2008/574842


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2008/1/574842


Received:2 July 2007
Accepted:13 December 2007
Published:2 January 2008

© 2008 The Author(s).

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.

Abstract

We establish the existence of multiple positive solutions for a singular nonlinear third-order periodic boundary value problem. We are mainly interested in the semipositone case. The proof relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.

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