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Maximal linear transformation groups preserving asymptotic properties of linear differential systems: I

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Abstract

We consider the problem of describing sets of linear piecewise differentiable transformations that preserve some asymptotic property of linear differential systems. We present definitions needed for solving this problem, obtain preliminary results, and describe the set of linear transformations preserving the property of boundedness of the coefficients of linear differential systems on the time half-line.

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Authors and Affiliations

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

    E. A. Barabanov

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  1. E. A. Barabanov
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Original Russian Text © E.A. Barabanov, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 10, pp. 1339–1354.

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Barabanov, E.A. Maximal linear transformation groups preserving asymptotic properties of linear differential systems: I. Diff Equat 48, 1319–1334 (2012). https://doi.org/10.1134/S0012266112100011

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  • DOI: https://doi.org/10.1134/S0012266112100011

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