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Izvestiya: Mathematics, 2006, Volume 70, Issue 1, Pages 153–169
DOI: https://doi.org/10.1070/IM2006v170n01ABEH002307
(Mi im553)
 

This article is cited in 3 scientific papers (total in 3 papers)

The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients

A. G. Khovanskiia, S. P. Chulkovb

a Institute of Systems Analysis, Russian Academy of Sciences
b Independent University of Moscow
References:
Abstract: We consider systems of linear partial differential equations with analytic coefficients and discuss existence and uniqueness theorems for their formal and analytic solutions. Using elementary methods, we define and describe an analogue of the Hilbert polynomial for such systems.
Received: 08.09.2003
Bibliographic databases:
UDC: 517.95, 512.555
MSC: 13D40, 20M14, 35C10
Language: English
Original paper language: Russian
Citation: A. G. Khovanskii, S. P. Chulkov, “The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients”, Izv. Math., 70:1 (2006), 153–169
Citation in format AMSBIB
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\by A.~G.~Khovanskii, S.~P.~Chulkov
\paper The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
\jour Izv. Math.
\yr 2006
\vol 70
\issue 1
\pages 153--169
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Linking options:
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  • https://doi.org/10.1070/IM2006v170n01ABEH002307
  • https://www.mathnet.ru/eng/im/v70/i1/p163
  • This publication is cited in the following 3 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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