Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials

被引：30

作者：

Wei, Jicheng ^{[1
,2
]}

Wang, Jun ^{[2
]}

机构：

[1] Chizhou Coll, Dept Math, Chizhou 247000, Anhui, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 02期

关键词：

Hamiltonian systems; Homoclinic orbits; Variational methods; (C)(c)-sequence; EXISTENCE;

D O I：

10.1016/j.jmaa.2009.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the following nonperiodic second order Hamiltonian systems -(u) over dot(t) + L(t)u(t) = Delta R(t, u), del t is an element of R, where L(t) may not be uniformly positive definite for all t is an element of R;. Under more general conditions on R(u)(t, u), we prove that the above system has infinitely many homoclinic orbits provided R is even in it. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：694 / 699

页数：6

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