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Izvestiya: Mathematics, 2004, Volume 68, Issue 2, Pages 259–272
DOI: https://doi.org/10.1070/IM2004v068n02ABEH000474 (Mi im474) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Refined Fuchs inequalities for systems of linear differential equations

R. R. Gontsov
English version PDF (182 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2004v068n02ABEH000474
Abstract: We refine the Fuchs inequalities obtained by Corel for systems of linear meromorphic differential equations given on the Riemann sphere. Fuchs inequalities enable one to estimate the sum of exponents of the system over all its singular points. We refine these well-known inequalities by considering the Jordan structure of the leading coefficient of the Laurent series for the matrix of the right-hand side of the system in the neighbourhood of a singular point.
Received: 11.09.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 2, Pages 39–52
DOI: https://doi.org/10.4213/im474
Bibliographic databases:
UDC: 517.531.57
MSC: 34-02, 34M99, 34M50, 34A30
Language: English
Original paper language: Russian
Citation: R. R. Gontsov, “Refined Fuchs inequalities for systems of linear differential equations”, Izv. Math., 68:2 (2004), 259–272
Citation in format AMSBIB
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\by R.~R.~Gontsov
\paper Refined Fuchs inequalities for systems of linear differential equations
\jour Izv. Math.
\yr 2004
\vol 68
\issue 2
\pages 259--272
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\crossref{https://doi.org/10.1070/IM2004v068n02ABEH000474}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746531175}
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  • https://doi.org/10.1070/IM2004v068n02ABEH000474
  • https://www.mathnet.ru/eng/im/v68/i2/p39
    Erratum
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:599
    Russian version PDF:246
    English version PDF:25
    References:69
    First page:1
     
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