Homoclinic solutions for a class of second-order Hamiltonian systems

被引：99
|
作者：
Tang, X. H. [1 ]
Lin, Xiaoyan [1 ,2 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
[2] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 02期
关键词：
Homoclinic solutions; Hamiltonian systems; Coercive potential; ORBITS; EXISTENCE;
D O I：
10.1016/j.jmaa.2008.12.052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new result for existence of homoclinic orbits is obtained for the second-order Hamiltonian systems u(t) - L(t)u(t) + del[W(1)(t, u(t)) - W(2) (t, u(t))] = f(t), where t is an element of R, u is an element of R(n) and W(1), W(2) is an element of C(1) (R x R(n), R) and f is an element of C(R, R(n)) are not necessary periodic in t. This result generalizes and improves some existing results in the literature. (C) 2009 Elsevier Inc. All rights reserved.
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页码：539 / 549
页数：11
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