{"title":"A Nonlocal (Two-point with Parameters) Boundary Value Problem of Differential Inclusion","authors":"A. El-Sayed, W. El-Sayed, Somyya S. Amrajaa","doi":"10.37622/ijde/16.1.2021.19-34","DOIUrl":null,"url":null,"abstract":"Here, we study the existence of solutions of a nonlocal two-point with parameters boundary value problem of a first order nonlinear differential inclusion. The maximal and minimal solutions will be studied. The continuous dependence of the unique solution on the parameters of the nonlocal condition will be proved. The anti-periodic boundary value problem will be considered as an application","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Difference Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/ijde/16.1.2021.19-34","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
Here, we study the existence of solutions of a nonlocal two-point with parameters boundary value problem of a first order nonlinear differential inclusion. The maximal and minimal solutions will be studied. The continuous dependence of the unique solution on the parameters of the nonlocal condition will be proved. The anti-periodic boundary value problem will be considered as an application
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