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.

引用

页码：3484 / 3490

页数：7

共 50 条

[31] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Wang, Da-Bin
Xie, Hua-Fei
Guan, Wen
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[32] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Da-Bin Wang
Hua-Fei Xie
Wen Guan
Advances in Difference Equations, 2016
[33] Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential
Lin, Xiaoyan
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[34] Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential
Xiaoyan Lin
Advances in Difference Equations, 2013
[35] Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
Irena Rachůnková
Jan Tomeček
Boundary Value Problems, 2009
[36] Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
Rachunkova, Irena
Tomecek, Jan
BOUNDARY VALUE PROBLEMS, 2009,
[37] Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
Yang, Ming-Hai
Han, Zhi-Qing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (07) : 2635 - 2646
[38] HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND-ORDER HAMILTONIAN SYSTEMS WITH LOCALLY DEFINED POTENTIALS
Lv, Xiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[39] EXISTENCE AND NONUNIQUENESS OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES
Wu, Dong-Lun
Tang, Chun-Lei
Wu, Xing-Ping
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (01) : 57 - 72
[40] Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
Zhang, Dan
BOUNDARY VALUE PROBLEMS, 2012,

← 1 2 3 4 5 →