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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 5, Pages 3–7 (Mi ivm6730)  
This article is cited in 1 scientific paper (total in 1 paper)

The upper semicontinuity of senior generalized Lyapunov exponents of systems of differential equations

T. M. Aldibekov

Chair of Differential Equations and Mathematical Physics, Kazakh National University, Almaty, Republic of Kazakhstan
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Abstract: We study Lyapunov's generalized exponent, i.e., Lyapunov's exponent in a more general scale, which are applied in investigation of asymptotic growth of the solutions of differential systems. We establish necessary and sufficient conditions of semicontinuity from above of senior generalized Lyapunov's exponent in a class of system of the differential equations.
Keywords: Lyapunov's generalized exponent, differential systems, semicontinuity.
Received: 14.04.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 5, Pages 1–5
DOI: https://doi.org/10.3103/S1066369X10050014
Bibliographic databases:
UDC: 517.938
Language: Russian
Citation: T. M. Aldibekov, “The upper semicontinuity of senior generalized Lyapunov exponents of systems of differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5, 3–7; Russian Math. (Iz. VUZ), 54:5 (2010), 1–5
Citation in format AMSBIB
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\by T.~M.~Aldibekov
\paper The upper semicontinuity of senior generalized Lyapunov exponents of systems of differential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 5
\pages 3--7
\mathnet{http://mi.mathnet.ru/ivm6730}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779767}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 5
\pages 1--5
\crossref{https://doi.org/10.3103/S1066369X10050014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649530394}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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