{"title":"Viability for functional differential inclusions without convexity","authors":"M. Aitalioubrahim","doi":"10.52846/ami.v49i1.1516","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to prove the existence result of viable solutions for the differential inclusion x ̇(t)ϵF(t,T(t)x) where F is a set-valued map with closed graph. We consider the case when the constraint is moving.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"5 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of the University of Craiova-Mathematics and Computer Science Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52846/ami.v49i1.1516","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to prove the existence result of viable solutions for the differential inclusion x ̇(t)ϵF(t,T(t)x) where F is a set-valued map with closed graph. We consider the case when the constraint is moving.