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, 2013, Volume 93, Issue 5, Pages 702–715
DOI: https://doi.org/10.4213/mzm9136
(Mi mzm9136)
 

This article is cited in 1 scientific paper (total in 1 paper)

Stability of Solutions of Pseudolinear Differential Equations with Impulse Action

A. I. Dvirnyja, V. I. Slyn'kob

a Academy of Fire Secyrity
b Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine
Full-text PDF (484 kB) Citations (1)
References:
Abstract: In this paper, we develop a new approach to constructing piecewise differentiable Lyapunov functions for certain classes of nonlinear differential equations with impulse action. This approach is based on the method of “frozen” coefficients, and the required function is constructed as a pseudoquadratic form. For the case under consideration, stability conditions in the sense of Lyapunov are obtained. The proposed approach can be used to study the stability of the critical equilibrium states of systems of differential equations with impulse action.
Keywords: pseudodifferential equation with impulse action, Lyapunov stability of solutions of differential equations, pseudoquadratic form, critical equilibrium state, method of “frozen” coefficients.
Received: 21.04.2011
Revised: 30.06.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 5, Pages 691–703
DOI: https://doi.org/10.1134/S0001434613050052
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. I. Dvirnyj, V. I. Slyn'ko, “Stability of Solutions of Pseudolinear Differential Equations with Impulse Action”, Mat. Zametki, 93:5 (2013), 702–715; Math. Notes, 93:5 (2013), 691–703
Citation in format AMSBIB
\Bibitem{DviSly13}
\by A.~I.~Dvirnyj, V.~I.~Slyn'ko
\paper Stability of Solutions of Pseudolinear Differential Equations with Impulse Action
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 5
\pages 702--715
\mathnet{http://mi.mathnet.ru/mzm9136}
\crossref{https://doi.org/10.4213/mzm9136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3206018}
\zmath{https://zbmath.org/?q=an:06198909}
\elib{https://elibrary.ru/item.asp?id=20731726}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 5
\pages 691--703
\crossref{https://doi.org/10.1134/S0001434613050052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000321274300005}
\elib{https://elibrary.ru/item.asp?id=20439844}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879898517}
Linking options:
  • https://www.mathnet.ru/eng/mzm9136
  • https://doi.org/10.4213/mzm9136
  • https://www.mathnet.ru/eng/mzm/v93/i5/p702
  • 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:362
    Full-text PDF :170
    References:55
    First page:18
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024