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Lebesgue Sets of Izobov Exponents of Linear Differential Systems. I

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Abstract

We give a complete description of the Lebesgue sets of upper Izobov \(\sigma\)-exponents of linear differential systems continuously depending on a parameter varying in a metric space. We prove the simultaneous attainability of the upper Izobov \(\sigma\)-exponents by the Lyapunov exponents and their upper semicontinuity as functions of the perturbation exponent \(-\sigma\).

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  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. V. Bykov

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  1. V. V. Bykov
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Translated by V. Potapchouck

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Bykov, V.V. Lebesgue Sets of Izobov Exponents of Linear Differential Systems. I. Diff Equat 56, 39–50 (2020). https://doi.org/10.1134/S001226612001005X

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