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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 3, Pages 39–44
(Mi vmumm626)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vmumm626 https://www.mathnet.ru/eng/vmumm/y2019/i3/p39
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