{"title":"Exponential stability of random impulsive semilinear integro-differential systems","authors":"Anu Souriar","doi":"10.28919/eml/4094","DOIUrl":null,"url":null,"abstract":"In this article, we study the existence, uniqueness and exponential stability of random impulsive semilinear integro-differential systems. The results are obtained by using the contraction mapping principle. finally, an example is given to illustrate the applications of the abstract results.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/eml/4094","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 article, we study the existence, uniqueness and exponential stability of random impulsive semilinear integro-differential systems. The results are obtained by using the contraction mapping principle. finally, an example is given to illustrate the applications of the abstract results.