{"title":"具有“上极值”的脉冲微分方程的二测度稳定性","authors":"S. Hristova","doi":"10.1155/2011/703189","DOIUrl":null,"url":null,"abstract":"Sufficient conditions for stability in terms of two measures for nonlinear impulsive differential equations with ``supremum'' are obtained. Perturbing piecewise continuous Lyapunov functions have been applied. Razumikhin method and comparison scalar impulsive ordinary differential equations have been employed. The obtained sufficient conditions significantly depend on the impulses.","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"17 1","pages":"299-308"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2011/703189","citationCount":"22","resultStr":"{\"title\":\"Stability in terms of two measures for impulsive differential equations with ``supremum''\",\"authors\":\"S. Hristova\",\"doi\":\"10.1155/2011/703189\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Sufficient conditions for stability in terms of two measures for nonlinear impulsive differential equations with ``supremum'' are obtained. Perturbing piecewise continuous Lyapunov functions have been applied. Razumikhin method and comparison scalar impulsive ordinary differential equations have been employed. The obtained sufficient conditions significantly depend on the impulses.\",\"PeriodicalId\":38616,\"journal\":{\"name\":\"Nonlinear Studies\",\"volume\":\"17 1\",\"pages\":\"299-308\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1155/2011/703189\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Studies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2011/703189\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2011/703189","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Stability in terms of two measures for impulsive differential equations with ``supremum''
Sufficient conditions for stability in terms of two measures for nonlinear impulsive differential equations with ``supremum'' are obtained. Perturbing piecewise continuous Lyapunov functions have been applied. Razumikhin method and comparison scalar impulsive ordinary differential equations have been employed. The obtained sufficient conditions significantly depend on the impulses.
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