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Sbornik: Mathematics, 2013, Volume 204, Issue 4, Pages 485–507
DOI: https://doi.org/10.1070/SM2013v204n04ABEH004309 (Mi sm8091) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Stability in terms of two measures for a class of semilinear impulsive parabolic equations

A. I. Dvirnyja, V. I. Slyn'kob

a Hedmark University College
b Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine
English version PDF (373 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2013v204n04ABEH004309
Abstract: The problem of stability in terms of two measures is considered for semilinear impulsive parabolic equations. A new version of the comparison method is proposed, and sufficient conditions for stability in terms of two measures are obtained on this basis. An example of a hybrid impulsive system formed by a system of ordinary differential equations coupled with a partial differential equation of parabolic type is given. The efficiency of the described approaches is demonstrated.
Bibliography: 24 titles.
Keywords: stability in a cone, impulsive effect, semilinear parabolic equation, semiordering, comparison principle.
Received: 29.11.2011 and 06.07.2012
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 4, Pages 25–48
DOI: https://doi.org/10.4213/sm8091
Bibliographic databases:
Document Type: Article
UDC: 517.925.51+517.956.4
MSC: 34A37, 34D40
Language: English
Original paper language: Russian
Citation: A. I. Dvirnyj, V. I. Slyn'ko, “Stability in terms of two measures for a class of semilinear impulsive parabolic equations”, Mat. Sb., 204:4 (2013), 25–48; Sb. Math., 204:4 (2013), 485–507
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v204/i4/p25
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:60
    First page:26
     
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