Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 5, Pages 16–21
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-2 (Mi vmumm4626) 		 
Mathematics

Coincidence of linear approximation classes providing asymptotic and particular instabilities

A.A. Bondarev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-2
Abstract: A coincidence of classes to linear approximations that provide the properties of asymptotic and particular instabilities (of three types separately: Lyapunov, Perron, and upper-limit) of the zero solution to a non-one-dimensional differential system is proved.
Key words: differential system, nonlinear system, linear approximation, stability at the first approximation, Lyapunov stability, Perron stability, upper-limit stability.
Funding agency Grant number
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 22-8-10-3-1
Received: 29.11.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 5, Pages 223–229
DOI: https://doi.org/10.3103/S0027132224700293
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: A.A. Bondarev, “Coincidence of linear approximation classes providing asymptotic and particular instabilities”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 5, 16–21; Moscow University Mathematics Bulletin, 79:5 (2024), 223–229
Citation in format AMSBIB
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\by A.A.~Bondarev
\paper Coincidence of linear approximation classes providing asymptotic and particular instabilities
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 5
\pages 16--21
\mathnet{http://mi.mathnet.ru/vmumm4626}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-5-2}
\elib{https://elibrary.ru/item.asp?id=72751199}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 5
\pages 223--229
\crossref{https://doi.org/10.3103/S0027132224700293}
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