Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems

被引：9
|
作者：
Wang, Jun [1 ]
Zhang, Hui [2 ]
Xu, Junxiang [2 ]
Zhang, Fubao [2 ]
机构：
[1] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期
关键词：
Homoclinic orbits; Hamiltonian systems; (C)(c)-condition; Variational methods; SCHRODINGER-EQUATION;
D O I：
10.1016/j.na.2012.04.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following nonperiodic Hamiltonian system (z) over dot = JH(z)(t, z), where H(t, z) is superquadratic in z is an element of R-2N as |z| -> infinity. By applying a generalized linking theorem for strongly indefinite functionals, we obtain infinitely many homoclinic orbits for the above system. (C) 2012 Elsevier Ltd. All rights reserved.
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收藏
页码：4873 / 4883
页数：11
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