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Lebesgue Sets of Izobov Exponents of Linear Differential Systems. II

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Abstract

We give a complete description of Lebesgue sets of lower Izobov \(\sigma\)-exponents and lower Izobov exponential exponents for families of linear differential systems continuously depending on a parameter belonging to a metric space. The exact Baire class is established for the upper Izobov exponential exponents viewed as functions on the space of systems with the compact-open topology.

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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. II. Diff Equat 56, 158–170 (2020). https://doi.org/10.1134/S0012266120020020

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  • DOI: https://doi.org/10.1134/S0012266120020020

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