This article is cited in 4 papers

Isomonodromic deformations of systems of linear differential equations with irregular singularities

Yu. P. Bibilo

National Research University "Higher School of Economics"

Abstract: An isomonodromic deformation of a linear system of differential equations with irregular singularities is considered. A theorem on the general form of a differential 1-form describing such a deformation is proved.
Bibliography: 21 titles.

Keywords: isomonodromic deformation, irregular singularities, Stokes data, deformation 1-form.

UDC: 517.927.7

MSC: 34A30, 34M56

Received: 16.03.2011

DOI: 10.4213/sm7861

 English version: Sbornik: Mathematics, 2012, 203:6, 826–843

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