Abstract
Recurrence of an individual trajectory of a linear nonautonomous differential equation on a compact Lie group for the case of an almost periodic or conditionally periodic dependence of the right-hand side on time is proved. The relation between recurrence and reducibility is examined.
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Translated fromMatematicheskie Zametki, Vol. 64, No. 2, pp. 229–237, August, 1998.
This research was supported by the Russian Foundation for Basic Research under grants No. 96-01-00378 and No. 96-15-96072.
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Moshchevitin, N.G. Differential equations with almost periodic or conditionally periodic coefficients: Recurrence and reducibility. Math Notes 64, 194–201 (1998). https://doi.org/10.1007/BF02310306
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DOI: https://doi.org/10.1007/BF02310306