Various versions of the Riemann-Hilbert problem for linear differential equations

被引：7

作者：

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

Poberezhnyi, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2008年 / 63卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1070/RM2008v063n04ABEH004547

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A counterexample to Hilbert's 21st problem was found by Boli-brukh in 1988 (kind published in 1989). In the further study of this problem lie substantially developed the approach using holomorphic vector bundles and meromorphic connections. Here the best-known results of the past that were obtained by using this approach (both for Hilbert's 21st problem and for certain generalizations) are presented.

引用

页码：603 / 639

页数：37

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