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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1199–1208 (Mi smj1133)  
This article is cited in 1 scientific paper (total in 1 paper)

An estimate for the attraction domains of difference equations with periodic linear terms

K. Aidyna, H. Ya. Bulgakova, G. V. Demidenkob

a Selçuk University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We consider the quasilinear systems of difference equations with periodic coefficients in linear terms. We obtain estimates for the attraction domain of the zero solution and establish inequalities for the norms of solutions. The results are stated in terms of Lyapunov-type matrix series.
Keywords: asymptotic stability, attraction domain, Lyapunov discrete equation.
Received: 08.06.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 983–991
DOI: https://doi.org/10.1023/B:SIMJ.0000048914.60495.c1
Bibliographic databases:
UDC: 517.962.22
Language: Russian
Citation: K. Aidyn, H. Ya. Bulgakov, G. V. Demidenko, “An estimate for the attraction domains of difference equations with periodic linear terms”, Sibirsk. Mat. Zh., 45:6 (2004), 1199–1208; Siberian Math. J., 45:6 (2004), 983–991
Citation in format AMSBIB
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\by K.~Aidyn, H.~Ya.~Bulgakov, G.~V.~Demidenko
\paper An estimate for the attraction domains of difference equations with periodic linear terms
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\yr 2004
\vol 45
\issue 6
\pages 1199--1208
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2123286}
\zmath{https://zbmath.org/?q=an:1101.39002}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 6
\pages 983--991
\crossref{https://doi.org/10.1023/B:SIMJ.0000048914.60495.c1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000225820500001}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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