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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 312–324 (Mi smj2308)  
This article is cited in 7 scientific papers (total in 7 papers)

On the properties of solutions to a class of nonlinear systems of differential equations of large dimension

I. I. Matveevaab, I. A. Mel'nikab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (303 kB) Citations (7)
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Abstract: We consider the Cauchy problem for a class of nonlinear systems of differential equations of large dimension, establish some properties of solutions, and prove that for a sufficiently large number of differential equations the last component of the solution is an approximate solution to the initial value problem for a delay differential equation.
Keywords: system of ordinary differential equations of large dimension, limit theorems, delay differential equation.
Received: 21.03.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 248–258
DOI: https://doi.org/10.1134/S0037446612020085
Bibliographic databases:
Document Type: Article
UDC: 517.925.5+517.929
Language: Russian
Citation: I. I. Matveeva, I. A. Mel'nik, “On the properties of solutions to a class of nonlinear systems of differential equations of large dimension”, Sibirsk. Mat. Zh., 53:2 (2012), 312–324; Siberian Math. J., 53:2 (2012), 248–258
Citation in format AMSBIB
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\pages 312--324
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :110
    References:79
    First page:10
     
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