Construction of a Fuchs equation with four given finite singular points and given reducible \(2 \times 2\) monodromy matrices
type: Item
instance of: scholarly article
title: Construction of a Fuchs equation with four given finite singular points and given reducible \(2 \times 2\) monodromy matrices
zbMATH Open document ID: 1393.34062
DOI: 10.1134/S0012266118010019
author: V. V. Amelkin
author: M. N. Vasilevich
published in: Differential Equations
publication date: 2018-07-06T00:00:00Z
review text: The authors consider \(2\times 2\)-systems of Fuchsian linear differential equations on Riemann's sphere with four poles (three of which can be normalized to \(\pm 1\) and \(i\)) and with reducible monodromy groups. They explain how in the nonresonance case, given the monodromy group and the poles, one can construct the residua to obtain a Fuchsian system with the given poles and monodromy group.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34M50
zbMATH DE Number: 6899057
zbMATH Keywords: Fuchsian linear system
zbMATH Keywords: monodromy
zbMATH Keywords: residuum
zbMATH Keywords: resonance
Wikidata QID: Q115250799
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
cites work: The Riemann-Hilbert problem
cites work: Q3062970
cites work: Q3964699
cites work: Q3464805
cites work: Q4095200
cites work: Q4063757
full work available at URL: s0012266118010019
OpenAlex ID: W2796054865
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description: scientific article; zbMATH DE number 6899057