Esraa Elghanam, Ahmed M. A. El-Sayed, Mahmoud Elalem
{"title":"A constrained problem of a nonlinear functional integral equation subject to the pantograph problem","authors":"Esraa Elghanam, Ahmed M. A. El-Sayed, Mahmoud Elalem","doi":"10.21608/ajst.2024.257068.1023","DOIUrl":null,"url":null,"abstract":": Here we study the existence of solution and its continuous dependence of a constrained problem of a nonlinear functional integral equation subject to a constraint of an initial value problem of a pantograph differential equation. The Hyers-Ulam stability of the problem will be proved.","PeriodicalId":504746,"journal":{"name":"Alexandria Journal of Science and Technology","volume":"70 11-12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Alexandria Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/ajst.2024.257068.1023","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
: Here we study the existence of solution and its continuous dependence of a constrained problem of a nonlinear functional integral equation subject to a constraint of an initial value problem of a pantograph differential equation. The Hyers-Ulam stability of the problem will be proved.