{"title":"无凸性的功能性差异包体的生存能力","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":"{\"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}","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
摘要
本文的目的是证明F为闭图集值映射的微分包含x (t)ϵF(t, t (t)x)可行解的存在性结果。我们考虑约束移动的情况。
Viability for functional differential inclusions without convexity
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.