On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions

被引：14
|
作者：
Costa, David G. [1 ]
Tehrani, Hossein [1 ]
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期
关键词：
Singular Hamiltonian system; Homoclinic solution; Periodic coefficients; Category theory; Strong-Force condition; ORBITS; POTENTIALS; MULTIPLICITY; EXISTENCE; CATEGORY; SPACE;
D O I：
10.1016/j.jmaa.2013.10.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems ii + V-u(t,u) = 0, -infinity < t < infinity. We use variational methods under the assumption that V(t, u) satisfies the so-called "Strong-Force" condition. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：200 / 211
页数：12
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