{"title":"随机脉冲半线性积分-微分系统的指数稳定性","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":"{\"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}","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}
Exponential stability of random impulsive semilinear integro-differential systems
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.