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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 3, Pages 18–26 (Mi ivm1195)  
This article is cited in 8 scientific papers (total in 8 papers)

On the stability of nonautonomous difference equations with several delays

V. V. Malygina, A. Yu. Kulikov

Perm State Technical University
Full-text PDF (203 kB) Citations (8)
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Abstract: We consider the possibility to construct efficient stability criteria for solutions to difference equations with variable coefficients. We prove that one can associate a difference equation with a certain functional differential equation, whose solution has the same asymptotic behavior. We adduce examples, demonstrating the essential character of conditions of the obtained theorems and the exactness of the constant 3/2 which defines the boundary of the stability domain.
Keywords: difference equation, fundamental solution, stability.
Received: 26.03.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 3, Pages 15–23
DOI: https://doi.org/10.3103/S1066369X0803002X
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, A. Yu. Kulikov, “On the stability of nonautonomous difference equations with several delays”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 3, 18–26; Russian Math. (Iz. VUZ), 52:3 (2008), 15–23
Citation in format AMSBIB
\Bibitem{MalKul08}
\by V.~V.~Malygina, A.~Yu.~Kulikov
\paper On the stability of nonautonomous difference equations with several delays
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 3
\pages 18--26
\mathnet{http://mi.mathnet.ru/ivm1195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2444077}
\zmath{https://zbmath.org/?q=an:1189.39025}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 3
\pages 15--23
\crossref{https://doi.org/10.3103/S1066369X0803002X}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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