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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
English version PDF (376 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2006v170n01ABEH002307
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 1, Pages 163–182
DOI: https://doi.org/10.4213/im553
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. RAN. Ser. Mat., 70:1 (2006), 163–182; Izv. Math., 70:1 (2006), 153–169
Citation in format AMSBIB
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  • 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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    Abstract page:576
    Russian version PDF:279
    English version PDF:5
    References:63
    First page:4
     
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