Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

被引：4

作者：

Lv, Xiang ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷

基金：

中国国家自然科学基金;

关键词：

Homoclinic solutions; Hamiltonian systems; Variational methods; ORBITS;

D O I：

10.1016/j.amc.2016.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems (u) over dot - L (t) u + W-u (t, u) = 0, where L (t) is not necessarily positive definite and the growth rate of potential function W can be in (1, 3/2). Using the variant fountain theorem, we obtain the existence of infinitely many homoclinic solutions for the second-order Hamiltonian systems. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：298 / 306

页数：9

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