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

Yan Lizhao | Zendy; Xu Fei | Zendy; Lai Mingyong | Zendy

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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.

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