Open Access Research

Infinitely many solutions for a boundary value problem with impulsive effects

Gabriele Bonanno1*, Beatrice Di Bella2 and Johnny Henderson3

Author Affiliations

1 Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics, University of Messina, Messina, 98166, Italy

2 Department of Mathematics and Computer Science, University of Messina, Messina, 98166, Italy

3 Department of Mathematics, Baylor University, Waco, 76798-7328, USA

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Boundary Value Problems 2013, 2013:278  doi:10.1186/1687-2770-2013-278

Published: 20 December 2013

Abstract

In this paper we are interested in multiplicity results for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms. The study of the problem is based on the variational methods and critical point theory. Infinitely many solutions follow from a recent variational result.

MSC: 34B37, 34B15.

Keywords:
impulsive differential equations; critical points; infinitely many solutions