Complete Description of the Lyapunov Spectra of Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Semiaxis
- Авторлар: Barabanov E.A.1, Bykov V.V.2, Karpuk M.V.1
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Мекемелер:
- Institute of Mathematics
- Lomonosov Moscow State University
- Шығарылым: Том 54, № 12 (2018)
- Беттер: 1535-1544
- Бөлім: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154887
- DOI: https://doi.org/10.1134/S0012266118120017
- ID: 154887
Дәйексөз келтіру
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.
Авторлар туралы
E. Barabanov
Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: bar@im.bas-net.by
Белоруссия, Minsk, 220072
V. Bykov
Lomonosov Moscow State University
Email: bar@im.bas-net.by
Ресей, Moscow, 119991
M. Karpuk
Institute of Mathematics
Email: bar@im.bas-net.by
Белоруссия, Minsk, 220072
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