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Matematicheskie Zametki, 2019, Volume 105, Issue 1, Pages 9–17
DOI: https://doi.org/10.4213/mzm11739 (Mi mzm11739) 		 
An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices

Yu. A. Konyaev, D. A. Maslov

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.4213/mzm11739
Abstract: An asymptotic method for reducing nonautonomous systems of differential equations with matrices represented as sums of matrix functions of different periods to systems with almost-constant matrices is proposed. On the basis of the proposed method, sufficient conditions for the asymptotic stability of solutions of systems of differential equations of this type are derived.
Keywords: nonautonomous system of differential equations, splitting method, asymptotic reducibility method, stability.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00772-а
16-08-01269-а
This work was supported by the Russian Foundation for Basic Research under grants 16-01-00772-a and 16-08-01269-a.
Received: 10.09.2017
Revised: 28.02.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 1, Pages 8–15
DOI: https://doi.org/10.1134/S0001434619010024
Bibliographic databases:
Document Type: Article
UDC: 517.925
PACS: 02.30.Hq
Language: Russian
Citation: Yu. A. Konyaev, D. A. Maslov, “An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices”, Mat. Zametki, 105:1 (2019), 9–17; Math. Notes, 105:1 (2019), 8–15
Citation in format AMSBIB
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