Complete Description of the Lyapunov Spectra of Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Semiaxis
- Авторы: Barabanov E.A.1, Bykov V.V.2, Karpuk M.V.1
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Учреждения:
- Institute of Mathematics
- Lomonosov Moscow State University
- Выпуск: Том 54, № 12 (2018)
- Страницы: 1535-1544
- Раздел: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154887
- DOI: https://doi.org/10.1134/S0012266118120017
- ID: 154887
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Аннотация
We consider families of n-dimensional (n ≥ 2) linear differential systems on the time semiaxis with parameter varying in a metric space. For such families continuously depending on the parameter in the sense of uniform convergence on the time semiaxis, we completely describe the spectra of their Lyapunov exponents as vector functions of the parameter.
Об авторах
E. Barabanov
Institute of Mathematics
Автор, ответственный за переписку.
Email: bar@im.bas-net.by
Белоруссия, Minsk, 220072
V. Bykov
Lomonosov Moscow State University
Email: bar@im.bas-net.by
Россия, Moscow, 119991
M. Karpuk
Institute of Mathematics
Email: bar@im.bas-net.by
Белоруссия, Minsk, 220072
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