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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 2, Pages 88–97 (Mi vngu339)  
On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension

I. A. Uvarova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: In the paper we consider a class of systems of nonlinear differential equations of higher dimension. We study some properties of solutions and prove that, for sufficiently large number of equations in the system, the last component of the solution can be approximated by a solution to a delay differential equation.
Keywords: system of ordinary differential equations of higher dimension, delay differential equation, limit theorem.
Received: 11.11.2013
English version:
Journal of Mathematical Sciences, 2015, Volume 211, Issue 6, Pages 902–909
DOI: https://doi.org/10.1007/s10958-015-2643-7
Document Type: Article
UDC: 517.925.5+517.929
Language: Russian
Citation: I. A. Uvarova, “On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:2 (2014), 88–97; J. Math. Sci., 211:6 (2015), 902–909
Citation in format AMSBIB
\Bibitem{Uva14}
\by I.~A.~Uvarova
\paper On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 2
\pages 88--97
\mathnet{http://mi.mathnet.ru/vngu339}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 211
\issue 6
\pages 902--909
\crossref{https://doi.org/10.1007/s10958-015-2643-7}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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