Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 3, Pages 39–44 (Mi vmumm626)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Reducibility of linear differential systems to linear differential equations

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Lyapunov reducibility of any bounded and sometimes unbounded linear homogeneous differential system to some bounded linear homogeneous differential equation is established. The preservation of the additional property of periodicity of coefficients is guaranteed, and for two-dimensional or complex systems the constancy of their coefficients is preserved. The differences in feasibility of asymptotic and generalized Lyapunov reducibility from Lyapunov one are indicated.
Key words: differential equation, linear system, linear equation, periodic system, Lyapunov reducibility, Lyapunov transformation, asymptotic equivalence.
Received: 10.01.2019
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 3, Pages 121–126
DOI: https://doi.org/10.3103/S0027132219030045
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: I. N. Sergeev, “Reducibility of linear differential systems to linear differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3, 39–44; Moscow University Mathematics Bulletin, 74:3 (2019), 121–126
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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