Esraa Elghanam, Ahmed M. A. El-Sayed, Mahmoud Elalem
{"title":"受电弓问题制约的非线性函数积分方程问题","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":"{\"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}","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}
A constrained problem of a nonlinear functional integral equation subject to the pantograph problem
: 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.