Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity

被引：11

作者：

Chen, Guanwei ^{[1
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

homoclinic orbits; second order Hamiltonian systems; asymptotically linear; variational method; EXISTENCE;

D O I：

10.1186/1687-1847-2014-114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using some different asymptotically linear conditions from those previously used in Hamiltonian systems, we obtain the existence of nontrivial homoclinic orbits for a class of second order Hamiltonian systems by the variational method.

引用

页数：9

共 24 条

[11] 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

[12] On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on RN [J].

Jeanjean, L .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1999, 129 :787-809

[13] Existence of homoclinic solutions for a class of second-order Hamiltonian systems [J].

Lv, Xiang ;

Lu, Shiping ;

Yan, Ping .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) :390-398

[14]

Omana W., 1992, Diff. Int. Equ, V5, P1115

[15] Existence of homoclinic solution for the second order Hamiltonian systems [J].

Ou, ZQ ;

Tang, CL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) :203-213

[16] Multiple homoclinic orbits for a class of Hamiltonian systems [J].

Paturel, E .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2001, 12 (02) :117-143

[17] 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

[18] SOME RESULTS ON CONNECTING ORBITS FOR A CLASS OF HAMILTONIAN-SYSTEMS [J].

RABINOWITZ, PH ;

TANAKA, K .

MATHEMATISCHE ZEITSCHRIFT, 1991, 206 (03) :473-499

[19] Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems [J].

Wang, Jun ;

Zhang, Fubao ;

Xu, Junxiang .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 366 (02) :569-581

[20] Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials [J].

Wei, Jicheng ;

Wang, Jun .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 366 (02) :694-699

← 1 2 3 →