{"title":"Stability for neutral integro-dynamic equations with multiple functional delays on time scales","authors":"K. Khelil, A. Ardjouni, A. Djoudi","doi":"10.32513/tmj/19322008147","DOIUrl":null,"url":null,"abstract":"In this work, we use the Banach fixed point theorem to establish new results on the stability and asymptotic stability of the zero solution for a neutral integro-dynamic equation on time scales. The results obtained here extend those due to Yankson. We end by giving two examples to illustrate our work.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tbilisi Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32513/tmj/19322008147","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this work, we use the Banach fixed point theorem to establish new results on the stability and asymptotic stability of the zero solution for a neutral integro-dynamic equation on time scales. The results obtained here extend those due to Yankson. We end by giving two examples to illustrate our work.
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