Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems

被引：1

作者：

Ming-hai YANG ^{[1
]}

Yue-fen CHEN ^{[1
]}

Yan-fang XUE ^{[1
]}

机构：

[1] Department of Mathematics,Xinyang Normal University

来源：

Acta Mathematicae Applicatae Sinica | 2016年 / 32卷 / 01期

关键词：

second-order Hamiltonian systems; periodic solutions; Fountain theorem;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems{ü(t)+A(t)u(t)+▽F(t,u(t))=0,u(0)-u(T)=(0)-(T)=0,where F(t,u) is even in u,and ▽(t,u) is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.

引用

页码：231 / 238

页数：8

共 7 条

[1] 共振条件下的常微分方程组2π-周期解的存在性 [J].

韩志清 .

数学学报, 2000, (04) :639-644

[2]

A periodic solution for a second-order asymptotically linear Hamiltonian system [J] . Fukun Zhao,Jin Chen,Minbo Yang.&nbsp&nbspNonlinear Analysis . 2008 (11)

[3]

Periodic solutions for some second order systems [J] . Fengjuan Meng,Fubao Zhang.&nbsp&nbspNonlinear Analysis . 2007 (11)

[4] Infinitely many solutions for Hamiltonian systems [J].