Email this article Relations Between Second-Order Fuchsian Equations and First-Order Fuchsian Systems
- Authors: Babich M.V.1, Slavyanov S.Y.2
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University
- St. Petersburg State University
- Issue: Vol 240, No 5 (2019)
- Pages: 646-650
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242806
- DOI: https://doi.org/10.1007/s10958-019-04381-z
- ID: 242806
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Abstract
Each component of any solution of a Fuchsian differential system satisfies a Fuchsian differential equation. The set of Fuchsian systems is fibered into equivalence classes. Each class consists of systems with similar sets of matrix residues, the conjugation matrix being the same for all elements of the set. We investigate the corresponding classes of scalar equations.
About the authors
M. V. Babich
St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University
Author for correspondence.
Email: mbabich@pdmi.ras.ru
Russian Federation, St. Petersburg
S. Yu. Slavyanov
St. Petersburg State University
Email: mbabich@pdmi.ras.ru
Russian Federation, St. Petersburg
