Geodesic
On a~system of nonlinear differential equations of higher dimension
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 111-121

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We consider a Cauchy problem for a system of nonlinear differential equations of higher dimension. We prove that for a sufficiently large number of differential equations, the last component of the solution to the Cauchy problem is an approximate solution to the initial value problem for a delay differential equation.
Keywords: system of nonlinear ordinary differential equations of higher dimension, limit theorem, delay differential equation. 
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     author = {I. A. Uvarova},
     title = {On a~system of nonlinear differential equations of higher dimension},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a10/}
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I. A. Uvarova. On a~system of nonlinear differential equations of higher dimension. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 111-121. http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a10/