Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 4, Pages 8–15
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-2 (Mi vmumm4548) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Classes of linear approximations providing various types of stability or instability of differential systems

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (266 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-2
Abstract: Relationships (inclusions, coincidences, non-coincidences) between classes of linear approximations that provide various properties of Lyapunov, Perron, and upper-limit stability or instability (from global to particular) of the zero solution to a differential system of arbitrary order are studied. A complete set of non-coinciding stability classes is presented and some considerations are given for a similar description of instability classes.
Key words: differential system, nonlinear system, linear approximation, stability in the first approximation, Lyapunov stability, Perron stability, upper-limit stability.
Received: 10.01.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 4, Pages 163–169
DOI: https://doi.org/10.3103/S0027132223040083
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: I. N. Sergeev, “Classes of linear approximations providing various types of stability or instability of differential systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4, 8–15; Moscow University Mathematics Bulletin, 78:4 (2023), 163–169
Citation in format AMSBIB
\Bibitem{Ser23}
\by I.~N.~Sergeev
\paper Classes of linear approximations providing various types of stability or instability of differential systems
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 4
\pages 8--15
\mathnet{http://mi.mathnet.ru/vmumm4548}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-4-2}
\elib{https://elibrary.ru/item.asp?id=54354434}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 4
\pages 163--169
\crossref{https://doi.org/10.3103/S0027132223040083}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4548
  • https://www.mathnet.ru/eng/vmumm/y2023/i4/p8
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025