Construction of the Fuchs differential equation with \(3\times 3\) residue-matrices and three singular points using logarithmization method

DOI10.1134/S199508022209013XOpenAlexW4312788167WikidataQ115247334 ScholiaQ115247334MaRDI QIDQ2095810

L. Khvoshchinskaya

Publication date: 15 November 2022

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

Full work available at URL: https://doi.org/10.1134/s199508022209013x

zbMATH Keywords

Fuchsian differential equationmonodromy groupRiemann problemresidue matrixcanonical matrixlogarithmization method

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Matrix exponential and similar functions of matrices (15A16)

Cites Work

• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• Construction of \(2\times 2\) Fuchsian system with five singular points
• On a Method of Solving Integral Equation of Carleman Type on the Pair of Segments
• The Riemann-Hilbert problem
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