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

被引：10

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.

引用

页码：3484 / 3490

页数：7

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