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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 2, Pages 47–60
DOI: https://doi.org/10.17377/sibjim.2016.19.205 (Mi sjim920) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a class of systems of ordinary differential equations of large dimension

G. V. Demidenkoab, I. A. Uvarovaa

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
Full-text PDF (250 kB) Citations (4)
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DOI: https://doi.org/10.17377/sibjim.2016.19.205
Abstract: We consider the Cauchy problem for a class of systems of ordinary differential equations of large dimension. We prove that, for a sufficiently many equations, the last component of the solution to the Cauchy problem is an approximate solution to an initial value problem for a delay differential equation. Estimates of the approximation are obtained.
Keywords: system of ordinary differential equations of large dimension, limit theorem, delay differential equation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31528
Received: 17.08.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 2, Pages 179–191
DOI: https://doi.org/10.1134/S1990478916020034
Bibliographic databases:
Document Type: Article
UDC: 517.925.5+517.929
Language: Russian
Citation: G. V. Demidenko, I. A. Uvarova, “On a class of systems of ordinary differential equations of large dimension”, Sib. Zh. Ind. Mat., 19:2 (2016), 47–60; J. Appl. Industr. Math., 10:2 (2016), 179–191
Citation in format AMSBIB
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\paper On a~class of systems of ordinary differential equations of large dimension
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\pages 47--60
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\jour J. Appl. Industr. Math.
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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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    		Сибирский журнал индустриальной математики
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