{"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}
引用次数: 1
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.