Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects

Abstract: In this paper, a class of second-order Hamiltonian systems with impulsive effects are considered. We establish some sufficient conditions for the existence of solutions for the second-order Hamiltonian systems with impulsive effects where , , are continuous and . The solutions are sought by means of some critical point theorems. Finally, two examples are presented to illustrate the feasibility and effectiveness of our results. [Copyright &y& Elsevier]