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, 2006, Volume 80, Issue 4, Pages 516–525
DOI: https://doi.org/10.4213/mzm2844 (Mi mzm2844) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Asymptotic stability and instability of the solutions of systems with impulse action

A. O. Ignatyeva, O. A. Ignatyevb, A. A. Solimanc

a Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
b Kent State University
c Benha University
Full-text PDF (488 kB) Citations (30)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2844
Abstract: In this paper, we study the stability of the zero solution of a system of ordinary differential equations subject to impulse action. Using the method of Lyapunov functions, we obtain tests for asymptotic stability or instability of the system. Illustrative examples are given.
Received: 26.07.2005
Revised: 08.02.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 4, Pages 491–499
DOI: https://doi.org/10.1007/s11006-006-0167-7
Bibliographic databases:
UDC: 517.925
Language: Russian
Citation: A. O. Ignatyev, O. A. Ignatyev, A. A. Soliman, “Asymptotic stability and instability of the solutions of systems with impulse action”, Mat. Zametki, 80:4 (2006), 516–525; Math. Notes, 80:4 (2006), 491–499
Citation in format AMSBIB
\Bibitem{IgnIgnSol06}
\by A.~O.~Ignatyev, O.~A.~Ignatyev, A.~A.~Soliman
\paper Asymptotic stability and instability of the solutions of systems with impulse action
\jour Mat. Zametki
\yr 2006
\vol 80
\issue 4
\pages 516--525
\mathnet{http://mi.mathnet.ru/mzm2844}
\crossref{https://doi.org/10.4213/mzm2844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314360}
\zmath{https://zbmath.org/?q=an:1125.34036}
\elib{https://elibrary.ru/item.asp?id=9293157}
\transl
\jour Math. Notes
\yr 2006
\vol 80
\issue 4
\pages 491--499
\crossref{https://doi.org/10.1007/s11006-006-0167-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000241868700026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750356460}
Linking options:
  • https://www.mathnet.ru/eng/mzm2844
  • https://doi.org/10.4213/mzm2844
  • https://www.mathnet.ru/eng/mzm/v80/i4/p516
    • This publication is cited in the following 30 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:473
    Full-text PDF :216
    References:63
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024