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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 3, Pages 501–518
DOI: https://doi.org/10.1070/IM1974v008n03ABEH002118 (Mi im1936) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the algebraic dependence of the components of solutions of a system of linear differential equations

Yu. V. Nesterenko
English version PDF (895 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/IM1974v008n03ABEH002118
Abstract: A description is given of the set of algebraic equations that connect the components of the solutions of a system of linear differential equations. The result thus obtained is applied to the proof of a theorem on the estimates of the orders of the zeros.
Received: 18.08.1972
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 3, Pages 495–512
Bibliographic databases:
UDC: 517.9
MSC: Primary 10F35, 12H05, 30A08; Secondary 33A35, 13C99
Language: English
Original paper language: Russian
Citation: Yu. V. Nesterenko, “On the algebraic dependence of the components of solutions of a system of linear differential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974), 495–512; Math. USSR-Izv., 8:3 (1974), 501–518
Citation in format AMSBIB
\Bibitem{Nes74}
\by Yu.~V.~Nesterenko
\paper On the algebraic dependence of the components of solutions of a~system of linear differential equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 3
\pages 495--512
\mathnet{http://mi.mathnet.ru/im1936}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=371870}
\zmath{https://zbmath.org/?q=an:0308.35016}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 3
\pages 501--518
\crossref{https://doi.org/10.1070/IM1974v008n03ABEH002118}
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  • https://doi.org/10.1070/IM1974v008n03ABEH002118
  • https://www.mathnet.ru/eng/im/v38/i3/p495
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:348
    Russian version PDF:120
    English version PDF:14
    References:60
    First page:1
     
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