Multiple Periodic Solutions of Nonautonomous Delay Differential Equations

被引：0

作者：

Li, Lin ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2023年 / 33卷 / 10期

关键词：

High order; nonautonomous delay differential equation; periodic solutions; Z(n) index theory; variational method; SYSTEMS; EXISTENCE;

D O I：

10.1142/S0218127423501183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a nonautonomous high-order delay differential equation with 2r - 1 lags. The 4r-periodic orbits are obtained by using the variational method and a new Zn index theory. This is a new type of nonautonomous delay differential equation compared with all existing ones. An example is given to demonstrate our main results.

引用

页数：13

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