Homoclinic orbits of a Hamiltonian system

被引：67

作者：

Ding, YH ^{[1
]}

Willem, M

机构：

[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

[2] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1999年 / 50卷 / 05期

关键词：

homoclinic orbits; Hamiltonian systems; linking theorem; concentation-compactness;

D O I：

10.1007/s000330050177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence results of homoclinic orbits of the first order time-dependent Hamiltonian system (z)over dot = JH(z) (t, z), where H(t, z) depends periodically on t, H(t, z) = (1)/(2)zL(t)z + W(t , z), L(t) is a symmetric matrix valued function and W(t, z) satisfies certain global superquadratic condition. We relax partly the assumption often used before: L is independent of t and sp(JL)boolean AND iR = phi.

引用

页码：759 / 778

页数：20

共 20 条

[1]

AMBROSETTI A, 1992, CR ACAD SCI I-MATH, V314, P601

[2] On a nonlinear Schrodinger equation with periodic potential [J].

Bartsch, T ;

Ding, YH .

MATHEMATISCHE ANNALEN, 1999, 313 (01) :15-37

[3]

COPPEL WA, 1978, LECT NOTES MATHS, V629

[4]

COTIZELATI V, 1990, MATH ANN, V288, P133

[5]

COTIZELATI V, 1991, J AM MATH SOC, V4, P693

[6]

Ding Y., 1993, Dyn. 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] 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

[9] 1ST ORDER ELLIPTIC-SYSTEMS AND THE EXISTENCE OF HOMOCLINIC ORBITS IN HAMILTONIAN-SYSTEMS [J].

HOFER, H ;

WYSOCKI, K .

MATHEMATISCHE ANNALEN, 1990, 288 (03) :483-503

[10]

Kato T., 1966, Perturbation Theory for Linear Operators., DOI [10.1007/978-3-662-12678-3, DOI 10.1007/978-3-662-12678-3]

← 1 2 →