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Matematicheskie Zametki, 2023, Volume 113, Issue 6, Pages 895–904
DOI: https://doi.org/10.4213/mzm13744 (Mi mzm13744) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System

I. N. Sergeev

Lomonosov Moscow State University
Full-text PDF (529 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm13744
Abstract: We consider the problem of the possibility randomly of choosing the initial value for a perturbed solution of a given differential system so that it remained close to the initial zero solution. In this regard, we introduce completely new concepts and study (as applied to different classes of systems) the measure of stability and the measure of instability of various types: Lyapunov, Perron, or upper-limit.
Keywords: differential system, Lyapunov stability, Perron stability, upper-limit stability, measure of stability.
Received: 27.09.2022
Published: 01.06.2023
English version:
Mathematical Notes, 2023, Volume 113, Issue 6, Pages 831–839
DOI: https://doi.org/10.1134/S0001434623050243
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
Language: Russian
Citation: I. N. Sergeev, “Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System”, Mat. Zametki, 113:6 (2023), 895–904; Math. Notes, 113:6 (2023), 831–839
Citation in format AMSBIB
\Bibitem{Ser23}
\by I.~N.~Sergeev
\paper Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 6
\pages 895--904
\mathnet{http://mi.mathnet.ru/mzm13744}
\crossref{https://doi.org/10.4213/mzm13744}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 6
\pages 831--839
\crossref{https://doi.org/10.1134/S0001434623050243}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85163167488}
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    • This publication is cited in the following 9 articles:
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