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, 2024, Number 1, Pages 50–54
DOI: https://doi.org/10.55959/vmumm4588 (Mi vmumm4588) 		 
Mathematics

Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
Full-text PDF (346 kB)
References:
PDF
HTML
DOI: https://doi.org/10.55959/vmumm4588
Abstract: New characteristics of differential systems are studied, which meaningfully develop the concepts of Lyapunov, Perron and upper limit stability or instability of the zero solution of a differential system from the standpoint of probability theory. Examples of autonomous systems are proposed for which these characteristics take opposite values in a certain sense.
Key words: differential system, autonomous systems, Lyapunov stability, Perron stability, upper-limit stability, measure of stability.
Received: 04.08.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 1, Pages 55–59
DOI: https://doi.org/10.3103/S0027132224700062
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: I. N. Sergeev, “Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 50–54; Moscow University Mathematics Bulletin, 79:1 (2024), 55–59
Citation in format AMSBIB
\Bibitem{Ser24}
\by I.~N.~Sergeev
\paper Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 1
\pages 50--54
\mathnet{http://mi.mathnet.ru/vmumm4588}
\crossref{https://doi.org/10.55959/vmumm4588}
\elib{https://elibrary.ru/item.asp?id=62487647}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 1
\pages 55--59
\crossref{https://doi.org/10.3103/S0027132224700062}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4588
  • https://www.mathnet.ru/eng/vmumm/y2024/i1/p50
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:58
    Full-text PDF :29
    References:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024