Complete Description of the Lyapunov Spectra of Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Semiaxis


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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.

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E. Barabanov

Institute of Mathematics

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Email: bar@im.bas-net.by
白俄罗斯, Minsk, 220072

V. Bykov

Lomonosov Moscow State University

Email: bar@im.bas-net.by
俄罗斯联邦, Moscow, 119991

M. Karpuk

Institute of Mathematics

Email: bar@im.bas-net.by
白俄罗斯, Minsk, 220072

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