{"title":"论延迟隐含函数积分--微分方程","authors":"Malak M. S. Ba-Ali","doi":"10.21608/ajst.2024.250598.1021","DOIUrl":null,"url":null,"abstract":": In this work, we use the De Blasi measure of noncompactness and Darbo fixed point Theorem to study the existence of solutions for an initial value problem of a delay implicit functional integro-differential equation. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on some data will be studied.","PeriodicalId":504746,"journal":{"name":"Alexandria Journal of Science and Technology","volume":"42 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Delay Implicit Functional Integro - Differential Equation\",\"authors\":\"Malak M. S. Ba-Ali\",\"doi\":\"10.21608/ajst.2024.250598.1021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": In this work, we use the De Blasi measure of noncompactness and Darbo fixed point Theorem to study the existence of solutions for an initial value problem of a delay implicit functional integro-differential equation. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on some data will be studied.\",\"PeriodicalId\":504746,\"journal\":{\"name\":\"Alexandria Journal of Science and Technology\",\"volume\":\"42 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-16\",\"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.2024.250598.1021\",\"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.2024.250598.1021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
:在这项工作中，我们利用非紧凑性的 De Blasi 度量和 Darbo 定点定理来研究延迟隐式函数积分微分方程初值问题解的存在性。将给出解唯一性的充分条件。还将研究唯一解对某些数据的连续依赖性。
On a Delay Implicit Functional Integro - Differential Equation
: In this work, we use the De Blasi measure of noncompactness and Darbo fixed point Theorem to study the existence of solutions for an initial value problem of a delay implicit functional integro-differential equation. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on some data will be studied.
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