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Upper Semicontinuity of the Upper Lyapunov Exponent of Millionshchikov Linear Differential Systems with an Affine Parameter

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Abstract

For one-parameter families of linear differential systems of a special class containing Lyapunov irregular systems with quasiperiodic coefficients, we prove that the upper Lyapunov exponent as a function of a real affine parameter is upper semicontinuous almost everywhere.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Belarus, Minsk, 220072, Belarus

    A. V. Lipnitskii

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  1. A. V. Lipnitskii
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Correspondence to A. V. Lipnitskii.

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Translated by V. Potapchouck

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Lipnitskii, A.V. Upper Semicontinuity of the Upper Lyapunov Exponent of Millionshchikov Linear Differential Systems with an Affine Parameter. Diff Equat 56, 60–67 (2020). https://doi.org/10.1134/S0012266120010073

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  • DOI: https://doi.org/10.1134/S0012266120010073

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