Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Barkatou, M.A., Gontsov, R.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210237
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification / M.A. Barkatou, R.R. Gontsov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 23 назв. — англ.

We study the problem of solvability of linear differential systems with small coefficients in the Liouvillian sense (or, by generalized quadratures). For a general system, this problem is equivalent to that of the solvability of the Lie algebra of the differential Galois group of the system. However...