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Russian Mathematical Surveys, 2011, Volume 66, Issue 1, Pages 63–105
DOI: https://doi.org/10.1070/RM2011v066n01ABEH004728 (Mi rm9404) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On deformations of linear differential systems

R. R. Gontsova, V. A. Poberezhnyib, G. F. Helminckc

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
c Korteweg–de Vries Institute for Mathematics, University of Amsterdam, The Netherlands
English version PDF (737 kB) Citations (6)
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DOI: https://doi.org/10.1070/RM2011v066n01ABEH004728
Abstract: This article concerns deformations of meromorphic linear differential systems. Problems relating to their existence and classification are reviewed, and the global and local behaviour of solutions to deformation equations in a neighbourhood of their singular set is analysed. Certain classical results established for isomonodromic deformations of Fuchsian systems are generalized to the case of integrable deformations of meromorphic systems.
Bibliography: 40 titles.
Keywords: holomorphic bundle, meromorphic connection, integrability, monodromy, Painlevé property, isomonodromic deformation.
Received: 07.12.2010
Russian version:
Uspekhi Matematicheskikh Nauk, 2011, Volume 66, Issue 1(397), Pages 65–110
DOI: https://doi.org/10.4213/rm9404
Bibliographic databases:
Document Type: Article
UDC: 517.927.7+517.936
MSC: Primary 34M35, 34M50, 53C07; Secondary 32G34, 34M55
Language: English
Original paper language: Russian
Citation: R. R. Gontsov, V. A. Poberezhnyi, G. F. Helminck, “On deformations of linear differential systems”, Uspekhi Mat. Nauk, 66:1(397) (2011), 65–110; Russian Math. Surveys, 66:1 (2011), 63–105
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:475
    English version PDF:25
    References:88
    First page:35
     
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