Boundary Value Problems
Volume 2009 (2009), Article ID 316812, 17 pages
Research Article

Variational Method to the Impulsive Equation with Neumann Boundary Conditions

Department of Mathematics, Central South University, Changsha, 410075 Hunan, China

Received 28 August 2009; Accepted 28 September 2009

Academic Editor: Pavel Drábek

Copyright © 2009 Juntao Sun and Haibo Chen. 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.


We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.