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This article is cited in 1 scientific paper (total in 1 paper)
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
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.
DOI:
https://doi.org/10.17377/sibjim.2016.19.205
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English version:
Journal of Applied and Industrial Mathematics, 2016, 10:2, 179–191
Bibliographic databases:
UDC:
517.925.5+517.929 Received: 17.08.2015
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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\jour J. Appl. Industr. Math.
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http://mi.mathnet.ru/eng/sjim920 http://mi.mathnet.ru/eng/sjim/v19/i2/p47
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This publication is cited in the following articles:
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G. V. Demidenko, I. A. Uvarova, Yu. A. Khazova, “On one system of ordinary differential equations of large dimension and a delay equation”, J. Appl. Industr. Math., 13:3 (2019), 447–459
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