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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 98–105 (Mi smj961)  
This article is cited in 9 scientific papers (total in 9 papers)

The direct lyapunov method for an almost periodic difference system on a compactum

S. M. Dobrovolskiia, A. V. Rogozinb

a Omsk State University
b Omsk State Technical University
Full-text PDF (191 kB) Citations (9)
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Abstract: We establish a sufficient condition for asymptotic stability for the systems under consideration in which the condition on the difference derivative by the system is weakened in comparison with the Lyapunov condition $\dot{v}<0$. We also obtain applications to the analysis of stability of equilibria of dynamical systems with infinite-dimensional phase space.
Keywords: almost periodicity, stability, compactum.
Received: 27.10.2003
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 77–82
DOI: https://doi.org/10.1007/s11202-005-0008-z
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: S. M. Dobrovolskii, A. V. Rogozin, “The direct lyapunov method for an almost periodic difference system on a compactum”, Sibirsk. Mat. Zh., 46:1 (2005), 98–105; Siberian Math. J., 46:1 (2005), 77–82
Citation in format AMSBIB
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\paper The direct lyapunov method for an almost periodic difference system on a~compactum
\jour Sibirsk. Mat. Zh.
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\vol 46
\issue 1
\pages 98--105
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141305}
\zmath{https://zbmath.org/?q=an:1101.39004}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 77--82
\crossref{https://doi.org/10.1007/s11202-005-0008-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227076100008}
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  • https://www.mathnet.ru/eng/smj/v46/i1/p98
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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