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Russian Mathematical Surveys, 2008, Volume 63, Issue 4, Pages 603–639
DOI: https://doi.org/10.1070/RM2008v063n04ABEH004547 (Mi rm9230) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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

R. R. Gontsova, V. A. Poberezhnyib

a Institute for Information Transmission Problems, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
English version PDF (630 kB) Citations (8) Russian version article
References:
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DOI: https://doi.org/10.1070/RM2008v063n04ABEH004547
Abstract: A counterexample to Hilbert's 21st problem was found by Bolibrukh in 1988 (and published in 1989). In the further study of this problem he 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.
Received: 30.06.2008
Bibliographic databases:
Document Type: Article
UDC: 517.927.7+517.936
MSC: Primary 34M50; Secondary 34M35, 34M55
Language: English
Original paper language: Russian
Citation: R. R. Gontsov, V. A. Poberezhnyi, “Various versions of the Riemann–Hilbert problem for linear differential equations”, Russian Math. Surveys, 63:4 (2008), 603–639
Citation in format AMSBIB
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\paper Various versions of the Riemann--Hilbert problem for linear differential equations
\jour Russian Math. Surveys
\yr 2008
\vol 63
\issue 4
\pages 603--639
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1470
    Russian version PDF:463
    English version PDF:53
    References:102
    First page:27
     
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