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  • Research Article
  • Open Access

Existence of Solutions of Periodic Boundary Value Problems for Impulsive Functional Duffing Equations at Nonresonance Case

Boundary Value Problems20082008:937138

  • Received: 19 June 2008
  • Accepted: 27 August 2008
  • Published:


This paper deals with the existence of solutions of the periodic boundary value problem of the impulsive Duffing equations: . Sufficient conditions are established for the existence of at least one solution of above-mentioned boundary value problem. Our method is based upon Schaeffer's fixed-point theorem. Examples are presented to illustrate the efficiency of the obtained results.


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

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Authors’ Affiliations

Department of Mathematics, Shaoyang University, Shaoyang, Hunan, 422000, China
Department of Mathematics, Guangdong University of Business Studies, Guangzhou, Guangdong, 510320, China


© X. Liu and Y. Liu. 2008

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.