Multiple symmetric periodic solutions of differential systems with distributed delay

被引：5

作者：

Xiao, Huafeng ^{[1
,2
]}

Wu, Xuan ^{[3
]}

Yu, Jianshe ^{[2
]}

机构：

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

[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Guangdong, Peoples R China

[3] Univ Macau, Fac Sci & Technol, Macau, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 373卷

基金：

中国国家自然科学基金;

关键词：

Delay differential system; Distributed delay; Variational method; Pseudoindex theory; Periodic solutions; EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jde.2023.07.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of periodic solutions to the following delay differential system: � x  1(t) = � 0 -1 f1(x2(t +8))c18, x 2(t) = 1.0 -1 f2(x1(t +8))c18. By transforming the problem of searching for periodic solutions of the above system to the problem of finding periodic solutions of an associated ordinary differential system with boundary value conditions and using pseudoindex theory, some sufficient conditions are obtained to guarantee the existence of multiple W-symmetric 2-periodic solutions. We also present three specific examples to illustrate our results. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页码：626 / 653

页数：28

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