Homoclinic solutions for second order impulsive Hamiltonian systems with small forcing terms |
| |
| Authors: | Lizhao Yan Fei Xu Mingyong Lai |
| |
| Institution: | 1. College of Business, Hunan Normal University, Changsha, Hunan, China;2. Department of Economics and Trade, Hunan University, Changsha, Hunan, China;3. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada |
| |
| Abstract: | 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. |
| |
| Keywords: | variational methods impulsive Hamiltonian systems homoclinic solutions |
|
|
