Multiplicity of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
1 College of Mathematics, Changchun Normal University, Changchun, Jilin, 130032, P.R. China
2 Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, 130012, P.R. China
Boundary Value Problems 2013, 2013:200 doi:10.1186/1687-2770-2013-200Published: 5 September 2013
In this paper, we consider the existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions. Infinitely many solutions are obtained by using a version of the symmetric mountain-pass theorem, and this sequence of solutions converge to zero. Some recent results are extended.
MSC: 34B37, 35B38.