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Matematicheskie Zametki, 2005, Volume 77, Issue 5, Pages 643–655
DOI: https://doi.org/10.4213/mzm2535 (Mi mzm2535) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Constructive Solvability Conditions for the Riemann–Hilbert Problem

I. V. Vyugin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (229 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2535
Abstract: Sufficient and necessary conditions for the solvability of the Riemann–Hilbert problem are studied. These conditions consist in the possibility of constructing stable and semistable pairs (of bundles and connections) for a given monodromy. The obtained results make it possible to develop algorithms for testing the solvability conditions for the Riemann–Hilbert problem.
Received: 20.02.2004
Revised: 07.04.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 5, Pages 595–605
DOI: https://doi.org/10.1007/s11006-005-0061-8
Bibliographic databases:
UDC: 512.772.3+517.927.7
Language: Russian
Citation: I. V. Vyugin, “Constructive Solvability Conditions for the Riemann–Hilbert Problem”, Mat. Zametki, 77:5 (2005), 643–655; Math. Notes, 77:5 (2005), 595–605
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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