{"title":"由人口模型引起的非线性泛函时滞微分方程","authors":"Y. Raffoul","doi":"10.37622/adsa/14.1.2019.67-81","DOIUrl":null,"url":null,"abstract":"In this research, our aim is to use a new variation of parameters formula to analyze the behavior of the purely nonlinear functional delay differential equation that arise from population models x′(t) = g(x(t))− g(x(t− L)). Our approach will be based on the use of fixed point theory, by constructing suitable mapping on appropriate spaces. AMS Subject Classifications: 39A10,34A97.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"52 2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonlinear Functional Delay Differential Equations Arising from Population Models\",\"authors\":\"Y. Raffoul\",\"doi\":\"10.37622/adsa/14.1.2019.67-81\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research, our aim is to use a new variation of parameters formula to analyze the behavior of the purely nonlinear functional delay differential equation that arise from population models x′(t) = g(x(t))− g(x(t− L)). Our approach will be based on the use of fixed point theory, by constructing suitable mapping on appropriate spaces. AMS Subject Classifications: 39A10,34A97.\",\"PeriodicalId\":36469,\"journal\":{\"name\":\"Advances in Dynamical Systems and Applications\",\"volume\":\"52 2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Dynamical Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/adsa/14.1.2019.67-81\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/14.1.2019.67-81","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Nonlinear Functional Delay Differential Equations Arising from Population Models
In this research, our aim is to use a new variation of parameters formula to analyze the behavior of the purely nonlinear functional delay differential equation that arise from population models x′(t) = g(x(t))− g(x(t− L)). Our approach will be based on the use of fixed point theory, by constructing suitable mapping on appropriate spaces. AMS Subject Classifications: 39A10,34A97.