Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity

被引：33

作者：

Zhao, FK ^{[1
]}

Wu, XA ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 02期

关键词：

periodic solution; non-autonomous second-order systems; (PS) condition; Sobolev's inequality; Wirtinger's inequality;

D O I：

10.1016/j.na.2004.08.031

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 solution for the following non-autonomous second-order systems: {u(0) - u(T) = <(u)over dot>(0) - <(u)over dot>(T) = 0.<(u)double over dot>(t) = delF(t, u(t)) a.e. t is an element of [0, T], Some new existence and multiplicity theorems are obtained by using the least action principle and the minimax method. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：325 / 335

页数：11

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