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