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On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter

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Abstract

We prove the existence of unstable systems in one-parameter families of Millionshchikov linear differential systems with continuous dependence on a real parameter containing Lyapunov improper systems with quasiperiodic coefficients.

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REFERENCES

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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. On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter. Diff Equat 58, 468–474 (2022). https://doi.org/10.1134/S0012266122040036

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  • DOI: https://doi.org/10.1134/S0012266122040036

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