Multiplicity results of periodic solutions for a class of second order delay differential systems

被引：11

作者：

Wu, Ke ^{[2
]}

Wu, Xian ^{[1
]}

Zhou, Fen ^{[3
]}

机构：

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

[2] Zhaotong Coll, Dept Math, Zhaotong 657000, Yunnan, Peoples R China

[3] Zhaotong Coll, Dept Comp Sci, Zhaotong 657000, Yunnan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Variational methods; Delay differential systems; Critical point; EQUATIONS; EXISTENCE; THEOREM;

D O I：

10.1016/j.na.2012.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the periodic boundary value problem {u(t) + lambda u(t - tau) = del F(t, u(t - tau)) a.e. t is an element of [0, 2 tau] u(0) - u(2 tau) = (u) over dot(0) - (u) over dot(2 tau) = 0, (1) where tau > 0 is a given constant, lambda is an element of R is a parameter. The variational principle is given and some multiplicity results of periodic solutions of (1) are obtained directly via variational methods. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5836 / 5844

页数：9

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