Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems
Department of Applied Mathematics, Hohai University, Nanjing 210098, China
Boundary Value Problems 2008, 2008:574842 doi:10.1155/2008/574842Published: 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.