{"title":"Mean square exponential stability for stochastic functional differential equations with impulses","authors":"Nan Ding","doi":"10.12988/NADE.2013.13002","DOIUrl":null,"url":null,"abstract":"Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution of such system are obtained. Our results can generalize and improve the existing works.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2013.13002","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
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution of such system are obtained. Our results can generalize and improve the existing works.