R. R. Gontsov, “On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System”, Mat. Zametki, 2017, Volume 102, Issue 2,Pages <nobr>178

This article is cited in 1 paper

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

R. R. Gontsov^ab

^a Institute for Information Transmission Problems, Russian Academy of Sciences
^b National Research University "Moscow Power Engineering Institute"

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.

UDC: 517.927.7

Received: 21.09.2016

DOI: 10.4213/mzm11385