{"title":"Stability of Set Differential Equations in Fréchet Spaces","authors":"Junyan Bao, Wei Chen, Peiguang Wang","doi":"10.1155/2023/5134374","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the stability of set differential equations in Fréchet space \n \n F\n \n . Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space \n \n F\n \n is a projective limit of Banach spaces.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1155/2023/5134374","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate the stability of set differential equations in Fréchet space
F
. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space
F
is a projective limit of Banach spaces.
期刊介绍:
Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike.
As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.