Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2014, Volume 96, Issue 4, Pages 596–608
DOI: https://doi.org/10.4213/mzm9367 (Mi mzm9367) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Qualitative Properties of Differential-Algebraic Equations

V. F. Chistyakova, Ta Duy Phuongb

a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
b Hanoi Institute of Mathematics
Full-text PDF (527 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9367
Abstract: Linear systems of ordinary differential equations with identically degenerate coefficient matrix before the derivative of the unknown vector function are considered. The structure of general solutions and the notion of singular point of such systems are discussed. From the comparison of the properties of the “perturbed” and original problems, a sufficient criterion for the Lyapunov asymptotic stability of the zero solution is obtained.
Keywords: differential-algebraic equation, Lyapunov stability, Lyapunov asymptotic stability, regularizing operator, Euler difference scheme, Kronecker–Capelli condition.
Received: 24.01.2012
English version:
Mathematical Notes, 2014, Volume 96, Issue 4, Pages 563–574
DOI: https://doi.org/10.1134/S0001434614090314
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. F. Chistyakov, Ta Duy Phuong, “On Qualitative Properties of Differential-Algebraic Equations”, Mat. Zametki, 96:4 (2014), 596–608; Math. Notes, 96:4 (2014), 563–574
Citation in format AMSBIB
\Bibitem{ChiPhu14}
\by V.~F.~Chistyakov, Ta~Duy~Phuong
\paper On Qualitative Properties of Differential-Algebraic Equations
\jour Mat. Zametki
\yr 2014
\vol 96
\issue 4
\pages 596--608
\mathnet{http://mi.mathnet.ru/mzm9367}
\crossref{https://doi.org/10.4213/mzm9367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3344336}
\zmath{https://zbmath.org/?q=an:06435022}
\elib{https://elibrary.ru/item.asp?id=22834424}
\transl
\jour Math. Notes
\yr 2014
\vol 96
\issue 4
\pages 563--574
\crossref{https://doi.org/10.1134/S0001434614090314}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000344334500031}
\elib{https://elibrary.ru/item.asp?id=24945932}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920930593}
Linking options:
  • https://www.mathnet.ru/eng/mzm9367
  • https://doi.org/10.4213/mzm9367
  • https://www.mathnet.ru/eng/mzm/v96/i4/p596
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:643
    Full-text PDF :188
    References:85
    First page:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024