Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems
Author(s) -
Jingli Xie,
Zhiguo Luo,
Guoping Chen
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/583107
Subject(s) - homoclinic orbit , mathematics , hamiltonian system , class (philosophy) , order (exchange) , limit (mathematics) , hamiltonian (control theory) , mathematical analysis , pure mathematics , discrete mathematics , combinatorics , computer science , mathematical optimization , physics , bifurcation , artificial intelligence , quantum mechanics , nonlinear system , finance , economics
This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem
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