Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems

被引：0

作者：

Suo, Hongmin ^{[1
]}

Di, Lan ^{[2
]}

An, Yucheng ^{[1
]}

Chu, Changmu ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Sch Sci, Guiyang 550025, Peoples R China

[2] Jiangnan Univ, Sch Digital Media, Wuxi 214122, Jiangsu, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

second-order systems; periodic solution; Sobolev's inequality; Wirtinger's inequality;

D O I：

10.1186/1029-242X-2014-411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the existence and multiplicity of periodic solutions for the following non-autonomous second-order Hamiltonian systems: <(u) double over dot>(t) = del F(t, u(t)) a.e. t is an element of [0, T], u(0) -u(T) = (u)over dot(0) - (u)over dot(T) = 0, where T > 0. Some new existence and multiplicity theorems are obtained by using the least action principle, and the minimax method in critical point theory, which unify and generalize some of the recent corresponding results in the literature.

引用

页数：13

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