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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

Published: 2 January 2008

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.