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Open Access

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

Boundary Value Problems20082008:574842

Received: 2 July 2007

Accepted: 13 December 2007

Published: 2 January 2008


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationPeriodic SolutionFunctional Equation

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Authors’ Affiliations

Department of Applied Mathematics, Hohai University, Nanjing, China


© Yigang Sun. 2008

This article is published under license to BioMed Central Ltd. 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.