Open Access

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

Boundary Value Problems20082008:574842

DOI: 10.1155/2008/574842

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.

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Authors’ Affiliations

Department of Applied Mathematics, Hohai University


© Yigang Sun. 2008

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