Boundary Value Problems
Volume 2010 (2010), Article ID 325415, 16 pages
doi:10.1155/2010/325415
Research Article

Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions

Huiwen Chen and Jianli Li

Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China

Received 18 September 2010; Accepted 9 November 2010

Academic Editor: Zhitao Zhang

Copyright © 2010 Huiwen Chen and Jianli Li. 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.

Abstract

We study the existence of 𝑛 distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory.