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.
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页数：13
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