Open Access

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

Boundary Value Problems20082008:937138

DOI: 10.1155/2008/937138

Received: 19 June 2008

Accepted: 27 August 2008

Published: 10 September 2008

Abstract

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Shaoyang University
(2)
Department of Mathematics, Guangdong University of Business Studies

Copyright

© 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.