Constructive Solutions to the Riemann-Hilbert Problem and Middle Convolution

被引：1

作者：

Bibilo, Yulia ^{[1
]}

Filipuk, Galina ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Bolshoy Karetny Per 19, Moscow 127994, Russia

[2] Univ Warsaw, Dept Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2017年 / 23卷 / 01期

关键词：

Fuchsian systems; Monodromy; Riemann-Hilbert problem; Middle convolution; EQUATIONS;

D O I：

10.1007/s10883-015-9306-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present a general scheme to generate constructive solutions to the Riemann-Hilbert problem via middle convolution and illustrate this approach for a Fuchsian system with four singular points.

引用

页码：55 / 70

页数：16

共 20 条

[1]

Amelkin VV, 2013, SCI PUBLICATIONS S A, V5, P7

[2]

Anosov DV, 1994, ASPECTS MATH, pE22

[3]

Boalch P, 2007, IRMA LECT MATH THEOR, V9, P85

[4]

Bolibruch A. A., 2009, Inverse Monodromy Problems in the Analytic Theory of Differential Equations

[5] Differential equations with meromorphic coefficients [J].

Bolibrukh, A. A. .

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 272 :S13-S43

[6] An algorithm of Katz and its application to the inverse Galois problem [J].

Dettweiler, M ;

Reiter, S .

JOURNAL OF SYMBOLIC COMPUTATION, 2000, 30 (06) :761-798

[7] Middle convolution of Fuchsian systems and the construction of rigid differential systems [J].

Dettweiler, Michael ;

Reiter, Stefan .

JOURNAL OF ALGEBRA, 2007, 318 (01) :1-24

[8] Painleve' equations and the middle convolution [J].

Dettweiler, Michael ;

Reiter, Stefan .

ADVANCES IN GEOMETRY, 2007, 7 (03) :317-330

[9]

Erugin N. P, 1982, Riemann Problem

[10]

Erugin N. P., 1976, DIFF EQUAT+, V12, P779

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