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Title: Асимптотическая эквивалентность систем дифференциальных уравнений с линейным автономным первым приближением (Russian)
Title: Asymptotic equivalence of systems of differential equations with a linear autonomous first approximation (English)
Author: Voskresenskij, E. V.
Language: Russian
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 24
Issue: 1
Year: 1983
Pages: 31-50
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Category: math
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MSC: 34A10
MSC: 34C11
MSC: 34E99
idZBL: Zbl 0525.34047
idMR: MR703924
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Date available: 2008-06-05T21:13:51Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106203
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Reference: [1] LEVINSON N.: The asymptotic behavior of system of linear differential equations.Amer. J. Math. 68 (1946), 1-6. MR 0015181
Reference: [2] BRAUER F.: Nonlinear Differential equations with foreing terms.Proc. Amer. Math. Soc. 15 (1964), 758-765. MR 0166452
Reference: [3] MIZOHATA S., YAMAGUTI M.: On the existence of periodic solutions of the nonlinear differential equation.Mem. Coll. Sci. Univ., Kyoto, ser. A. Math. 27 (1951), 109-113. MR 0054127
Reference: [4] HARTMAN P.: Ordinary differential equations.New York - London - Sydney, John Wiley 1964. Zbl 0125.32102, MR 0171038
Reference: [5] WINTER A.: An Abelian lemma concerning asymptotic equilibria.Amer. Journ. Math. 68 (1946), 451-454. MR 0016812
Reference: [6] EPУГИH H. П.: Пpивoдимыe cиcтeмы.Tpyды Мaтeм. Ин-та AH CCCP XIII (1946), 736-839.
Reference: [7] LIMA A. C.: A note on the asymptotic equivalence of two systems of differential equations.Acta Fac. Rerum Natur. Univ. Comen. 33 (1977) (1978), 35-49. Zbl 0414.34061, MR 0541310
Reference: [8] ДEMИДOBИЧ B. П.: Лoкции пo мaтeмaтичecкoй теopии ycтoйчивocти.Mocквa, "Hayкa", 1967, 472 c.
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