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Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations: I

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Abstract

For linear differential equations with continuous coefficients, we compute the Borel types of Lebesgue sets of their lower and upper characteristic frequencies of zeros, signs, and roots, which are treated as functions on the direct product of the space of equations with the compact-open topology and the space of initial vectors of solutions.

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Authors and Affiliations

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

    E. A. Barabanov & A. S. Voidelevich

Authors
  1. E. A. Barabanov
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  2. A. S. Voidelevich
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Correspondence to E. A. Barabanov.

Additional information

Original Russian Text © E.A. Barabanov, A.S. Voidelevich, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 10, pp. 1302–1320.

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Barabanov, E.A., Voidelevich, A.S. Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations: I. Diff Equat 52, 1249–1267 (2016). https://doi.org/10.1134/S0012266116100013

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  • DOI: https://doi.org/10.1134/S0012266116100013

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