{"title":"集控制微分方程解的有界性","authors":"N. Phu, L. T. Quang, L. Dung","doi":"10.5923/J.AM.20120204.08","DOIUrl":null,"url":null,"abstract":"The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see(1)-(6),(8)-(10)). Beside that, we have to studied the problems of existence, co mparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see(7),(11)-(16)). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisib le control- feedback.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Boundedness Properties of Solutions to Set Control Differential Equations\",\"authors\":\"N. Phu, L. T. Quang, L. Dung\",\"doi\":\"10.5923/J.AM.20120204.08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see(1)-(6),(8)-(10)). Beside that, we have to studied the problems of existence, co mparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see(7),(11)-(16)). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisib le control- feedback.\",\"PeriodicalId\":49251,\"journal\":{\"name\":\"Journal of Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2012-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5923/J.AM.20120204.08\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5923/J.AM.20120204.08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
On the Boundedness Properties of Solutions to Set Control Differential Equations
The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see(1)-(6),(8)-(10)). Beside that, we have to studied the problems of existence, co mparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see(7),(11)-(16)). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisib le control- feedback.
期刊介绍：
Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.
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