New results for perturbed Hamiltonian systems with impulses

摘要

In this paper, we study the existence of three solutions for second-order impulsive Hamiltonian systems. By using a variational method and some critical points theorems of B. Ricceri, we obtain some new criteria for guaranteeing that the impulsive Hamiltonian systems have three solutions. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results.