{"title":"Stability of Uncertain Equations of Volterra-Levin type and an Uncertain Delay Differential Equation Via Fixed Point Method","authors":"V. Roomi, Hamid Reza Ahmadi̇","doi":"10.31197/atnaa.1212287","DOIUrl":null,"url":null,"abstract":"In this work four uncertain delay differential equations of Volterra-Levin type will be considered. Applying suitable contraction mapping and fixed point method, the stability of the equations will be studied. It will be shown that the solutions are bounded and, with additional condition, the solutions tend to zero. Also, a necessary and sufficient condition for the asymptotic stability of the solutions of an uncertain differential equation will be presented.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.1212287","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
In this work four uncertain delay differential equations of Volterra-Levin type will be considered. Applying suitable contraction mapping and fixed point method, the stability of the equations will be studied. It will be shown that the solutions are bounded and, with additional condition, the solutions tend to zero. Also, a necessary and sufficient condition for the asymptotic stability of the solutions of an uncertain differential equation will be presented.
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