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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 4, Pages 50–62
DOI: https://doi.org/10.17377/PAM.2015.15.406 (Mi vngu385) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On asymptotic stability of solutions to delay difference equations

G. V. Demidenkoab, D. Sh. Baldanovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/PAM.2015.15.406
Abstract: We consider a class of systems of difference equations with constant coefficients and variable delay. We study asymptotic stability of the zero solution and establish estimates characterizing decay rate of solutions at infinity.
Keywords: delay difference equations, asymptotic stability of solutions, Lyapunov–Krasovskii functionals.
Received: 17.08.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 815–825
DOI: https://doi.org/10.1007/s10958-017-3269-8
Document Type: Article
UDC: 517.962.22
Language: Russian
Citation: G. V. Demidenko, D. Sh. Baldanov, “On asymptotic stability of solutions to delay difference equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015), 50–62; J. Math. Sci., 221:6 (2017), 815–825
Citation in format AMSBIB
\Bibitem{DemBal15}
\by G.~V.~Demidenko, D.~Sh.~Baldanov
\paper On asymptotic stability of solutions to delay difference equations
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 4
\pages 50--62
\mathnet{http://mi.mathnet.ru/vngu385}
\crossref{https://doi.org/10.17377/PAM.2015.15.406}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 815--825
\crossref{https://doi.org/10.1007/s10958-017-3269-8}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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