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  • Research Article
  • Open Access

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

Boundary Value Problems20102010:626054

https://doi.org/10.1155/2010/626054

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

Abstract

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).

Keywords

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

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China

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