Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

被引：11
|
作者：
Lv, Xiang [1 ]
Lu, Shiping [1 ]
Yan, Ping [1 ,2 ]
机构：
[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
[2] Univ Helsinki, Dept Math & Stat, Rolf Nevanlinna Inst, FIN-00014 Helsinki, Finland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 7-8期
基金：
芬兰科学院;
关键词：
Homoclinic solutions; Hamiltonian systems; Coercive potential; ORBITS; EXISTENCE;
D O I：
10.1016/j.na.2009.12.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new result for the existence of homoclinic orbits is obtained for the second-order Hamiltonian system u(t) = del F (t, u(t)) + f(t), where t is an element of R, u is an element of R(n), F is an element of C(1)(R x R(n), R) is T-periodic with respect to t, T > 0 and f : R -> R(n) is a continuous and bounded function. This result generalizes and improves some known results in the previous literature. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：3484 / 3490
页数：7
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