{"title":"Tikhonov theorem for differential equations with singular impulses","authors":"M. Akhmet, S. cCaug","doi":"10.5890/dnc.2018.09.007","DOIUrl":null,"url":null,"abstract":"The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is applied to proof the main theorems. Illustrative examples with simulations are given to support the theoretical results.","PeriodicalId":296600,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5890/dnc.2018.09.007","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
The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is applied to proof the main theorems. Illustrative examples with simulations are given to support the theoretical results.
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