Boundary Value Problems
Volume 2008 (2008), Article ID 574842, 9 pages
doi:10.1155/2008/574842
Research Article
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems
Department of Applied Mathematics, Hohai University, Nanjing 210098, China
Received 2 July 2007; Accepted 13 December 2007
Academic Editor: Colin Rogers
Copyright © 2008 Yigang Sun. 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.