{"title":"时滞微分方程的一般逼近","authors":"L. Bel","doi":"10.1364/idlnos.1985.tuc5","DOIUrl":null,"url":null,"abstract":"Let us consider a time-delay differential equation of the following type:\n where G is a tuning constant, and where \n \n \n \n \n \n x\n ^\n \n \n i\n \n \n \n are p time-delayed values of the variable x, the ri being functionals of x(t).","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of Time-Delay Differential Equations by Ordinary Ones\",\"authors\":\"L. Bel\",\"doi\":\"10.1364/idlnos.1985.tuc5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let us consider a time-delay differential equation of the following type:\\n where G is a tuning constant, and where \\n \\n \\n \\n \\n \\n x\\n ^\\n \\n \\n i\\n \\n \\n \\n are p time-delayed values of the variable x, the ri being functionals of x(t).\",\"PeriodicalId\":262701,\"journal\":{\"name\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/idlnos.1985.tuc5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/idlnos.1985.tuc5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximation of Time-Delay Differential Equations by Ordinary Ones
Let us consider a time-delay differential equation of the following type:
where G is a tuning constant, and where
x
^
i
are p time-delayed values of the variable x, the ri being functionals of x(t).