{"title":"奇异脉冲微分方程的Tikhonov定理","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":"{\"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}","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}
Tikhonov theorem for differential equations with singular impulses
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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