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On the dimension of the subspace of Liouvillian solutions of a Fuchsian system

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Abstract

The paper deals with the problem of determining the dimension of the subspace of Liouvillian solutions of a Fuchsian system of linear differential equations in the case where this question can be answered directly in terms of the matrix of coefficients of the system.

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Authors and Affiliations

  1. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    R. R. Gontsov

  2. National Research University “Moscow Power Engineering Institute”, Moscow, Russia

    R. R. Gontsov

Authors
  1. R. R. Gontsov
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Correspondence to R. R. Gontsov.

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Original Russian Text © R. R. Gontsov, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 178–185.

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Gontsov, R.R. On the dimension of the subspace of Liouvillian solutions of a Fuchsian system. Math Notes 102, 149–155 (2017). https://doi.org/10.1134/S0001434617070173

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  • DOI: https://doi.org/10.1134/S0001434617070173

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