Geodesic
On a~class of systems of ordinary differential equations of large dimension
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 2, pp. 47-60

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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. 
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     author = {G. V. Demidenko and I. A. Uvarova},
     title = {On a~class of systems of ordinary differential equations of large dimension},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {47--60},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_2_a4/}
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G. V. Demidenko; I. A. Uvarova. On a~class of systems of ordinary differential equations of large dimension. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 2, pp. 47-60. http://geodesic.mathdoc.fr/item/SJIM_2016_19_2_a4/