{"title":"De l'existence de solutions d'équations différentielles assujetties à rester dans un ensemble fermé","authors":"Grzegorz Gabor , Marc Quincampoix","doi":"10.1016/S0764-4442(01)02165-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this Note, we prove existence of trajectories to – possibly multivalued – differential equations remaining in a given closed set of constraints. It is a consequence of behaviour of solutions on the boundary of the set of constraints.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 10","pages":"Pages 913-918"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02165-6","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021656","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this Note, we prove existence of trajectories to – possibly multivalued – differential equations remaining in a given closed set of constraints. It is a consequence of behaviour of solutions on the boundary of the set of constraints.
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