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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 10, Pages 51–59 (Mi ivm7139)  
This article is cited in 11 scientific papers (total in 11 papers)

The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients

R. K. Romanovskii, L. V. Belgart

Omsk State Technical University, Omsk, Russia
Full-text PDF (190 kB) Citations (11)
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Abstract: By the direct Lyapunov method we prove a sufficient condition for the exponential dichotomy with weakened (in comparison with a case of arbitrary coefficients) requirements to the difference derivative of the Lyapunov function along the system trajectory. We give an illustrating example.
Keywords: exponential dichotomy, indefinite Hermitian form, shell of an almost periodical matrix.
Received: 21.01.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 10, Pages 44–51
DOI: https://doi.org/10.3103/S1066369X10100051
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. K. Romanovskii, L. V. Belgart, “The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10, 51–59; Russian Math. (Iz. VUZ), 54:10 (2010), 44–51
Citation in format AMSBIB
\Bibitem{RomBel10}
\by R.~K.~Romanovskii, L.~V.~Belgart
\paper The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 10
\pages 51--59
\mathnet{http://mi.mathnet.ru/ivm7139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2808741}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 10
\pages 44--51
\crossref{https://doi.org/10.3103/S1066369X10100051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649531996}
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    • This publication is cited in the following 11 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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