Construction of \(2\times 2\) Fuchsian system with five singular points

DOI10.1134/S199508022104017XOpenAlexW3169612855MaRDI QIDQ2030151

Sergei V. Rogosin, L. Khvoshchinskaya

Publication date: 7 June 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022104017x

zbMATH Keywords

Riemann-Hilbert problemmonodromy groupfactorizationpartial indicescanonical matrix of the boundary value problemdifferential equation of Fuchsian typelogarithmization methodpiecewise constant matrix

Mathematics Subject Classification ID

Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (3)

On the Poincaré problem solution for a system of two functions ⋮ Factorization of the partly non-rational matrix of arbitrary order ⋮ Construction of the Fuchs differential equation with \(3\times 3\) residue-matrices and three singular points using logarithmization method

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• Constructive solutions to the Riemann-Hilbert problem and middle convolution
• Constructive methods for factorization of matrix-functions
• The Riemann-Hilbert problem
• Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI

This page was built for publication: Construction of \(2\times 2\) Fuchsian system with five singular points