Boundary Value Problems
Volume 2008 (2008), Article ID 574842, 9 pages
doi:10.1155/2008/574842

Multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems

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.