{"title":"EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS","authors":"K. Daoudi, J. Henderson, Abdelghnai Ouahab","doi":"10.12732/CAA.V22I3.1","DOIUrl":null,"url":null,"abstract":"In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with state-dependent delays. We assume that the linear part generates a strongly continuous semigroup on a general Banach space. AMS Subject Classification: 34G20, 34K20, 34K30","PeriodicalId":92887,"journal":{"name":"Communications in applied analysis","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in applied analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/CAA.V22I3.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with state-dependent delays. We assume that the linear part generates a strongly continuous semigroup on a general Banach space. AMS Subject Classification: 34G20, 34K20, 34K30