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Matematicheskie Zametki, 2017, Volume 101, Issue 2, Pages 226–231
DOI: https://doi.org/10.4213/mzm11017 (Mi mzm11017) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices

Yu. A. Konyaev, D. A. Maslov

National Research University "Moscow Power Engineering Institute"
Full-text PDF (372 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11017
Abstract: An algorithm for the spectral analysis of nonautonomous systems of differential equations on the semiaxis whose matrix can be presented as the sum of exponential-type matrices is developed. This method, which is based on a version of the splitting method, allows us to prove a theorem stating that the initial system is almost reducible to a simpler equivalent system and to formulate a sufficient condition for the asymptotic stability and the stability of its trivial solution.
Keywords: nonautonomous system of ordinary differential equations, splitting method, asymptotic reducibility, stability.
Received: 17.11.2015
Revised: 02.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 260–264
DOI: https://doi.org/10.1134/S0001434617010308
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: Yu. A. Konyaev, D. A. Maslov, “Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices”, Mat. Zametki, 101:2 (2017), 226–231; Math. Notes, 101:2 (2017), 260–264
Citation in format AMSBIB
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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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