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Open Access Research Article

Variational Method to the Impulsive Equation with Neumann Boundary Conditions

Juntao Sun* and Haibo Chen

Author Affiliations

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

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Boundary Value Problems 2009, 2009:316812  doi:10.1155/2009/316812

Published: 11 October 2009

Abstract

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.