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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 29–38 (Mi ivm1637)  
This article is cited in 5 scientific papers (total in 5 papers)

On the problem of the stability of functional-differential equations with infinite delay

S. V. Pavlikov

Kama State Engineering-Economics Academy, Naberezhnye Chelny, Russia
Full-text PDF (205 kB) Citations (5)
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Abstract: We study the stability of functional differential equations with infinite delay, using the Lyapunov functional of constant sign with a derivative of constant sign. Limit equations are constructed in a special phase space. We establish a theorem on localization of a positive limit set and theorems on the stability and the asymptotic stability. The results are illustrated by examples.
Keywords: functional differential equation, infinite delay, Lyapunov functional of constant sign, limit equations.
Received: 23.05.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 7, Pages 24–32
DOI: https://doi.org/10.3103/S1066369X08070049
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: S. V. Pavlikov, “On the problem of the stability of functional-differential equations with infinite delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 29–38; Russian Math. (Iz. VUZ), 52:7 (2008), 24–32
Citation in format AMSBIB
\Bibitem{Pav08}
\by S.~V.~Pavlikov
\paper On the problem of the stability of functional-differential equations with infinite delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 7
\pages 29--38
\mathnet{http://mi.mathnet.ru/ivm1637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2467443}
\zmath{https://zbmath.org/?q=an:1189.34146}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 7
\pages 24--32
\crossref{https://doi.org/10.3103/S1066369X08070049}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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