{"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}
引用次数: 1
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.
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