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  • Research Article
  • Open Access

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

Boundary Value Problems20082008:574842

https://doi.org/10.1155/2008/574842

  • Received: 2 July 2007
  • Accepted: 13 December 2007
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Periodic Solution
  • Functional Equation

Publisher note

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Authors’ Affiliations

(1)
Department of Applied Mathematics, Hohai University, Nanjing, 210098, China

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