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

被引：15

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

页码：200 / 211

页数：12

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