Existence of multiple periodic solutions for a class of second-order delay differential equations

被引：35

作者：

Guo, Chengjun ^{[2
]}

Guo, Zhiming ^{[1
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 05期

关键词：

Delay differential equations; Multiple periodic solutions; Critical point theory; S-1-index theory; CRITICAL-POINT THEORY; HAMILTONIAN-SYSTEMS; INDEFINITE FUNCTIONALS;

D O I：

10.1016/j.nonrwa.2008.10.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the critical theory and S-1-index theory, we obtain a new result for the existence and multiplicity of periodic solutions fora class of second-order delay differential equations x ''(t) = -f(x(t - tau)). (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3285 / 3297

页数：13

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