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.
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页码：694 / 699
页数：6
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