{"title":"关于模糊微分方程","authors":"W. Congxin","doi":"10.1109/AFSS.1996.583712","DOIUrl":null,"url":null,"abstract":"It is well-known that, in the research on fuzzy differential equations, O. Kaleva's (1987, 1990) work is important. In this paper, we develop his work in two directions: (1) the existence and uniqueness theorem for a solution to the Cauchy problem of fuzzy differential equations; and (2) the existence theorem under a compactness-type condition to the Cauchy problem of fuzzy differential equations.","PeriodicalId":197019,"journal":{"name":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","volume":"115 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the fuzzy differential equations\",\"authors\":\"W. Congxin\",\"doi\":\"10.1109/AFSS.1996.583712\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is well-known that, in the research on fuzzy differential equations, O. Kaleva's (1987, 1990) work is important. In this paper, we develop his work in two directions: (1) the existence and uniqueness theorem for a solution to the Cauchy problem of fuzzy differential equations; and (2) the existence theorem under a compactness-type condition to the Cauchy problem of fuzzy differential equations.\",\"PeriodicalId\":197019,\"journal\":{\"name\":\"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium\",\"volume\":\"115 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AFSS.1996.583712\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AFSS.1996.583712","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It is well-known that, in the research on fuzzy differential equations, O. Kaleva's (1987, 1990) work is important. In this paper, we develop his work in two directions: (1) the existence and uniqueness theorem for a solution to the Cauchy problem of fuzzy differential equations; and (2) the existence theorem under a compactness-type condition to the Cauchy problem of fuzzy differential equations.
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