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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 53–56 (Mi into164)  
Stability of nonautonomous difference equations with bounded parameters

A. Yu. Kulikov

Perm State National Research University
Full-text PDF (252 kB)
Abstract: For a nonautonomous difference equation with bounded parameters, stability conditions in terms of estimates of the Cauchy function are obtained.
Keywords: difference equation, equation with delay, stability, Cauchy function.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 699–702
DOI: https://doi.org/10.1007/s10958-018-3772-6
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 39A30
Language: Russian
Citation: A. Yu. Kulikov, “Stability of nonautonomous difference equations with bounded parameters”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 53–56; J. Math. Sci. (N. Y.), 230:5 (2018), 699–702
Citation in format AMSBIB
\Bibitem{Kul17}
\by A.~Yu.~Kulikov
\paper Stability of nonautonomous difference equations with bounded parameters
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 53--56
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into164}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801384}
\zmath{https://zbmath.org/?q=an:1391.39023}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 699--702
\crossref{https://doi.org/10.1007/s10958-018-3772-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044472022}
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