On the Poincaré problem solution for a system of two functions

DOI10.1134/s1995080223080292OpenAlexW4389103018MaRDI QIDQ6140437

L. Khvoshchinskaya

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1134/s1995080223080292

zbMATH Keywords

monodromy groupPoincaré problemmatrix functiondifferential substitutionFuchs class differential equation

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

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
• The Riemann-Hilbert problem
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