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, 2008, Volume 83, Issue 3, Pages 417–427
DOI: https://doi.org/10.4213/mzm4527 (Mi mzm4527) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lyapunov Functionals of Constant Signs in the Stability Problem for a Functional-Differential Equation of Neutral Type

S. V. Pavlikov

Kama State Academy of Engineering and Economics
Full-text PDF (480 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4527
Abstract: We present a generalization of the Lyapunov functional method and use it to study the stability of nonautonomous functional-differential equations of neutral type with finite delay. This generalization is based on constructing the limit equations and the limit functionals.
Keywords: Lyapunov functional method, functional-differential equation, method of the limit equation, limit functional, Banach space.
Received: 05.06.2006
Revised: 17.10.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 378–388
DOI: https://doi.org/10.1134/S0001434608030085
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: S. V. Pavlikov, “Lyapunov Functionals of Constant Signs in the Stability Problem for a Functional-Differential Equation of Neutral Type”, Mat. Zametki, 83:3 (2008), 417–427; Math. Notes, 83:3 (2008), 378–388
Citation in format AMSBIB
\Bibitem{Pav08}
\by S.~V.~Pavlikov
\paper Lyapunov Functionals of Constant Signs in the Stability Problem for a Functional-Differential Equation of Neutral Type
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 3
\pages 417--427
\mathnet{http://mi.mathnet.ru/mzm4527}
\crossref{https://doi.org/10.4213/mzm4527}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423938}
\zmath{https://zbmath.org/?q=an:1168.34047}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 3
\pages 378--388
\crossref{https://doi.org/10.1134/S0001434608030085}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255998600008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43749088048}
Linking options:
  • https://www.mathnet.ru/eng/mzm4527
  • https://doi.org/10.4213/mzm4527
  • https://www.mathnet.ru/eng/mzm/v83/i3/p417
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024