{"title":"Mild solution in the α-norm for some partial integrodifferential equations involving a nonlocal condition","authors":"Jaouad El Matloub, K. Ezzinbi","doi":"10.1515/msds-2023-0170","DOIUrl":null,"url":null,"abstract":"Abstract In this work, we investigate the existence of mild solutions in the α \\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonautonomous Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/msds-2023-0170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
Abstract In this work, we investigate the existence of mild solutions in the α \alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.
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