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Homoclinic solutions for second order impulsive Hamiltonian systems with small forcing terms
Author(s) -
Yan Lizhao,
Xu Fei,
Lai Mingyong
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3943
Subject(s) - homoclinic orbit , mathematics , hamiltonian system , forcing (mathematics) , order (exchange) , hamiltonian (control theory) , class (philosophy) , mountain pass theorem , mathematical analysis , limit (mathematics) , second order equation , homoclinic bifurcation , pure mathematics , mathematical optimization , bifurcation , differential equation , nonlinear system , computer science , physics , finance , quantum mechanics , artificial intelligence , economics
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 2 k T ‐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.