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  • Research Article
  • Open Access

Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems

Boundary Value Problems20102010:626054

  • Received: 31 August 2010
  • Accepted: 8 November 2010
  • Published:


This paper is devoted to study the existence of periodic solutions of the second-order equation , where is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Periodic Boundary

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Authors’ Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China


© Ruyun Ma et al. 2010

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.