Boundary Value Problems

, 2008:937138 | Cite as

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

  • Xingyuan Liu
  • Yuji Liu
Open Access
Research Article


This paper deals with the existence of solutions of the periodic boundary value problem of the impulsive Duffing equations: Open image in new window . 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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Copyright information

© 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.

Authors and Affiliations

  1. 1.Department of MathematicsShaoyang UniversityShaoyangChina
  2. 2.Department of MathematicsGuangdong University of Business StudiesGuangzhouChina

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