Differential equations with meromorphic coefficients. (English. Russian original) Zbl 1296.30037
Proc. Steklov Inst. Math. 272, Suppl. 2, S13-S43 (2011); translation from Sovrem. Probl. Mat. 1, 29-82 (2003).
Summary: The following problems of the analytic theory of differential equations are considered: Hilbert’s 21st problem for Fuchsian systems of linear differential equations, the Birkhoff normal form problem for systems of linear differential equations with irregular singularities, and the classification problem for isomonodromic deformations of Fuchsian systems.
MSC:
| 30D30 | Meromorphic functions of one complex variable (general theory) |
| 34M05 | Entire and meromorphic solutions to ordinary differential equations in the complex domain |
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