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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 178–185
DOI: https://doi.org/10.4213/mzm11385 (Mi mzm11385) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System

R. R. Gontsovab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.4213/mzm11385
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.
Keywords: Fuchsian system, logarithmic connection, Piccard–Vessiot extension, differential Galois group, Liouvillian solution.
Funding agency Grant number
Russian Science Foundation 14-50-00150
This work was carried out at the Institute for Information Transmission Problems, Russian Academy of Sciences, and supported by the Russian Science Foundation under grant 14-50-00150.
Received: 21.09.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 149–155
DOI: https://doi.org/10.1134/S0001434617070173
Bibliographic databases:
Document Type: Article
UDC: 517.927.7
Language: Russian
Citation: R. R. Gontsov, “On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System”, Mat. Zametki, 102:2 (2017), 178–185; Math. Notes, 102:2 (2017), 149–155
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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