Apparent singularities of Fuchsian equations and the Painleve property for Gamier systems

被引：3

作者：

Gontsov, R. R. ^{[1
]}

Vyugin, I. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 127994, Russia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2011年 / 61卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Inverse monodromy problems; Fuchsian systems; Schlesinger deformations; Painleve type equations; Movable singularities; SCHLESINGER EQUATION;

D O I：

10.1016/j.geomphys.2011.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study movable singularities of Gamier systems using the connection of the latter with Schlesinger isomonodromic deformations of Fuchsian systems. Questions on the existence of solutions for some inverse monodromy problems are also considered. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2419 / 2435

页数：17

共 4 条

[1] On the painleve property of isomonodromic deformations of Fuchsian systems
Poberezhny, Vladimir
ACTA APPLICANDAE MATHEMATICAE, 2008, 101 (1-3) : 255 - 263
[2] On the Painlevé Property of Isomonodromic Deformations of Fuchsian Systems
Vladimir Poberezhny
Acta Applicandae Mathematicae, 2008, 101 : 255 - 263
[3] Discrete Symmetries of Systems of Isomonodromic Deformations of Second-Order Fuchsian Differential Equations
S. V. Oblezin
Functional Analysis and Its Applications, 2004, 38 : 111 - 124
[4] Discrete symmetries of systems of isomonodromic deformations of second-order Fuchsian differential equations
Oblezin, SV
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2004, 38 (02) : 111 - 124

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