{"title":"微分方程解的存在性服从于闭集","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":"{\"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}","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}
De l'existence de solutions d'équations différentielles assujetties à rester dans un ensemble fermé
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.