Date: 16 Nov 2012

Multiplicity of solutions for second-order Hamiltonian systems with impulses

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Abstract

In this paper, we study the existence of infinitely many solutions for second-order Hamiltonian systems with impulses. By using an infinitely many critical points theorem and Fountain theorem, we obtain some new criteria for guaranteeing that the impulsive Hamiltonian systems have infinitely many solutions. No symmetric condition on the nonlinear term is assumed. Some examples are also given in this paper to illustrate our main results.

This work is supported by the Fundamental Research Funds for the Central Universities of Central South University (2012zzts004).