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 1, Pages 55–59
DOI: https://doi.org/10.55959/MSU0579-9368-1-2023-1-55-59 (Mi vmumm4520) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short notes

Criterion of Lyapunov reducibility of a linear autonomous differential system to a linear autonomous equation

I. N. Sergeev, K. V. Umansky

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (335 kB) Citations (1) English version article
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-2023-1-55-59
Abstract: We establish a unified criterion for the reducibility of a linear homogeneous differential system with constant coefficients to a linear homogeneous differential equation with constant coefficients by means of both Lyapunov and periodic transformations. The resulting necessary and sufficient condition on a system is formulated in terms of properties of the Jordan normal form of its matrix.
Key words: differential equation, linear system, linear equation, periodic system, Lyapunov reducibility, Lyapunov transformation.
Received: 20.05.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 1, Pages 52–56
DOI: https://doi.org/10.3103/S0027132223010096
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: I. N. Sergeev, K. V. Umansky, “Criterion of Lyapunov reducibility of a linear autonomous differential system to a linear autonomous equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 1, 55–59; Moscow University Mathematics Bulletin, 78:1 (2023), 52–56
Citation in format AMSBIB
\Bibitem{SerUma23}
\by I.~N.~Sergeev, K.~V.~Umansky
\paper Criterion of Lyapunov reducibility of a linear autonomous differential system to a linear autonomous equation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 1
\pages 55--59
\mathnet{http://mi.mathnet.ru/vmumm4520}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-2023-1-55-59}
\zmath{https://zbmath.org/?q=an:7711505}
\elib{https://elibrary.ru/item.asp?id=50317697}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 1
\pages 52--56
\crossref{https://doi.org/10.3103/S0027132223010096}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4520
  • https://www.mathnet.ru/eng/vmumm/y2023/i1/p55
    • 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
    Statistics & downloads:
    Abstract page:210
    Full-text PDF :119
    References:62
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025