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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 25–34 (Mi ivm7300)  
This article is cited in 6 scientific papers (total in 6 papers)

Stability of semi-autonomous difference equations

A. Yu. Kulikov, V. V. Malygina

Chair of Computational Mathematics and Mechanics, Perm State Technical University, Perm, Russia
Full-text PDF (200 kB) Citations (6)
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Abstract: For a linear difference equation with constant coefficients and several bounded variable delays we obtain criteria for the uniform and uniformly exponential stability expressed in terms of parameters of the initial problem. We adduce examples that prove the exactness of the boundaries of the obtained stability domain.
Keywords: difference equations, stability, efficient criteria.
Received: 13.11.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 19–27
DOI: https://doi.org/10.3103/S1066369X11050045
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. Yu. Kulikov, V. V. Malygina, “Stability of semi-autonomous difference equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 25–34; Russian Math. (Iz. VUZ), 55:5 (2011), 19–27
Citation in format AMSBIB
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\by A.~Yu.~Kulikov, V.~V.~Malygina
\paper Stability of semi-autonomous difference equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 25--34
\mathnet{http://mi.mathnet.ru/ivm7300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920086}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 19--27
\crossref{https://doi.org/10.3103/S1066369X11050045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051642452}
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    • This publication is cited in the following 6 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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