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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 29–32 (Mi into159)  
This article is cited in 1 scientific paper (total in 1 paper)

On stability of linear systems with impulsive action at the matrix

N. I. Zhelonkina, A. N. Sesekin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (264 kB) Citations (1)
Abstract: We discuss properties of stability and asymptotic stability of solutions to linear systems of differential equations with generalized actions in matrices of systems. We obtain sufficient conditions that guarantee the stability and asymptotic stability of solutions to these system. A distinctive feature of systems considered is the fact that the right-hand sides of systems contain the ill-posed operation of multiplication of discontinuous functions by generalized functions.
Keywords: differential equation, impulsive action, stability, asymptotic stability.
Funding agency Grant number
Russian Science Foundation 16-11-10146
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 673–676
DOI: https://doi.org/10.1007/s10958-018-3767-3
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34K45
Language: Russian
Citation: N. I. Zhelonkina, A. N. Sesekin, “On stability of linear systems with impulsive action at the matrix”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 29–32; J. Math. Sci. (N. Y.), 230:5 (2018), 673–676
Citation in format AMSBIB
\Bibitem{ZheSes17}
\by N.~I.~Zhelonkina, A.~N.~Sesekin
\paper On stability of linear systems with impulsive action at the matrix
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 29--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into159}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801379}
\zmath{https://zbmath.org/?q=an:1393.34058}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 673--676
\crossref{https://doi.org/10.1007/s10958-018-3767-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044463917}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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