Infinitely many homoclinic orbits for the second-order Hamiltonian systems

被引：71
作者：
Zou, WM
Li, SJ
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 08期
基金：
中国国家自然科学基金;
关键词：
homoclinic orbits; new fountain theorem; Hamiltonian systems;
D O I：
10.1016/S0893-9659(03)90130-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence of homoclinic orbits for the second-order Hamiltonian systems without periodicity is studied and infinitely many homoclinic orbits for both superlinear and asymptotically linear cases are obtained. (C) 2003 Elsevier Ltd. All rights reserved.
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收藏
页码：1283 / 1287
页数：5
相关论文
共 10 条
[1]  
[Anonymous], 1996, CHIN J MATH
[2]   Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems [J].
Carriao, PC ;
Miyagaki, OH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 230 (01) :157-172
[3]  
Chen C.N., 1997, ELECT J DIFFERENTIAL, P1
[4]  
COTIZELATI V, 1991, J AM MATH SOC, V4, P693
[5]   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
[6]  
Omana W., 1992, DIFFERENTIAL INTEGRA, V5, P1115
[7]   HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN-SYSTEMS [J].
RABINOWITZ, PH .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 114 :33-38
[8]   On the existence of homoclinic solutions for almost periodic second order systems [J].
Serra, E ;
Tarallo, M ;
Terracini, S .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1996, 13 (06) :783-812
[9]   Homoclinic orbits for asymptotically linear Hamiltonian systems [J].
Szulkin, A ;
Zou, WM .
JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 187 (01) :25-41
[10]   Variant fountain theorems and their applications [J].
Zou, W .
MANUSCRIPTA MATHEMATICA, 2001, 104 (03) :343-358
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