Homoclinic solutions for a class of second-order Hamiltonian systems

被引：19

作者：

Lv, Xiang ^{[1
]}

Lu, Shiping ^{[2
]}

Jiang, Jifa ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 01期

基金：

高等学校博士学科点专项科研基金;

关键词：

Homoclinic solutions; Hamiltonian systems; Mountain Pass theorem; Superquadratic potentials; PERIODIC-SOLUTIONS; ORBITS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2011.07.023

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 systems u(t)+del V(t, u(t)) = f(t), where t is an element of R, u is an element of R-n and V is an element of C-1 (R x R-n, R), V(t, x) = -K(t, x) + W(t, x) 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 existing results in the known literature. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：176 / 185

页数：10

共 30 条

[1] Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation [J].

Alves, CO ;

Carriao, PC ;

Miyagaki, OH .

APPLIED MATHEMATICS LETTERS, 2003, 16 (05) :639-642

[2]

[Anonymous], 1994, COMM APPL NONLINEAR

[3]

[Anonymous], 1989, APPL MATH SCI

[4] ABSTRACT CRITICAL-POINT THEOREMS AND APPLICATIONS TO SOME NON-LINEAR PROBLEMS WITH STRONG RESONANCE AT INFINITY [J].

BARTOLO, P ;

BENCI, V ;

FORTUNATO, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (09) :981-1012

[5]

Ding Y., 1993, DYNAM SYST APPL, V2, P131

[6] EXISTENCE AND MULTIPLICITY RESULTS FOR HOMOCLINIC SOLUTIONS TO A CLASS OF HAMILTONIAN-SYSTEMS [J].

DING, YH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (11) :1095-1113

[7]

Fei GH, 1996, CHINESE ANN MATH B, V17, P403

[8]

Felmer PL., 1998, ANN SC NORM SUPER S, V26, P285

[9] Periodic and homoclinic solutions generated by impulses for asymptotically linear and sublinear Hamiltonian system [J].

Han, Xizhi ;

Zhang, Hao .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) :1531-1541

[10] Homoclinic solutions for a class of the second order Hamiltonian systems [J].

Izydorek, M ;

Janczewska, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 219 (02) :375-389

← 1 2 3 →