{"title":"脉冲泛函微分方程的条件稳定性","authors":"I. Stamova, G. Stamov","doi":"10.1155/AMRX/2006/94865","DOIUrl":null,"url":null,"abstract":"We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"3 1","pages":"94865"},"PeriodicalIF":0.0000,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the conditional stability of impulsive functional differential equations\",\"authors\":\"I. Stamova, G. Stamov\",\"doi\":\"10.1155/AMRX/2006/94865\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.\",\"PeriodicalId\":89656,\"journal\":{\"name\":\"Applied mathematics research express : AMRX\",\"volume\":\"3 1\",\"pages\":\"94865\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied mathematics research express : AMRX\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/AMRX/2006/94865\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied mathematics research express : AMRX","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/AMRX/2006/94865","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the conditional stability of impulsive functional differential equations
We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
