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

被引：69

作者：

Tang, X. H. ^{[1
]}

Xiao, Li ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 02期

关键词：

Homoclinic solutions; Hamiltonian systems; Coercive potential; ORBITS; EXISTENCE;

D O I：

10.1016/j.jmaa.2008.10.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new existence result of homoclinic orbits is obtained for the second-order Hamiltonian systems u(t) = del F(t, u (t)) + f(t), where F(t, x) is periodic with respect to t. This result generalizes some known results in the literature. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：586 / 594

页数：9

共 15 条

[1]

Ambrosetti A., 1993, REND SEMIN MAT U PAD, V89, P177, DOI DOI 10.1016/0165-0114(92)90069-G

[2]

[Anonymous], 1989, DIRECT METHODS CALCU

[3]

[Anonymous], 1989, APPL MATH SCI

[4] 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

[5]

Coti-Zelati V, 1991, J AM MATH SOC, V4, P693

[6]

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

[7] HOMOCLINIC ORBITS FOR FIRST-ORDER HAMILTONIAN-SYSTEMS [J].

DING, YH ;

LI, SJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (02) :585-601

[8] 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

[9] Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential [J].

Izydorek, Marek ;

Janczewska, Joanna .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) :1119-1127

[10] 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

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