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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2012 Volume 277, Pages 22–32 (Mi tm3384)
Some properties of Malgrange isomonodromic deformations of linear $2\times2$ systems

Yu. P. Bibiloa, R. R. Gontsovb

a National Research University Higher School of Economics, Moscow, Russia
b Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia

Abstract: We study movable singularities of the Malgrange isomonodromic deformation of a linear differential $2\times 2$ system with two irregular singularities of Poincaré rank $1$ and with an arbitrary number of Fuchsian singular points.

UDC: 517.927

Received in January 2012


 English version: Proceedings of the Steklov Institute of Mathematics, 2012, 277, 16–26

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© Steklov Math. Inst. of RAS, 2025