{"title":"The existence and multiplicity of symmetrical periodic solutions for asymptotically linear distributed delay differential systems","authors":"Yuyou Zhong , Qi Wang , Chungen Liu","doi":"10.1016/j.jde.2024.11.050","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we study the existence and multiplicity of the symmetrical periodic solutions for some asymptotically linear distributed delay differential systems under a symmetric condition by using the symmetric <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>-index theory.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"420 ","pages":"Pages 99-117"},"PeriodicalIF":2.4000,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039624007861","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study the existence and multiplicity of the symmetrical periodic solutions for some asymptotically linear distributed delay differential systems under a symmetric condition by using the symmetric -index theory.
期刊介绍:
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics