Homoclinic solutions for second order impulsive Hamiltonian systems with small forcing terms

In this paper, we establish some new sufficient conditions on the existence of homoclinic solution for a class of second-order impulsive Hamiltonian systems. By using the mountain pass theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem. We also present some examples to illustrate the applications of our main results. Copyright © 2016 John Wiley & Sons, Ltd.