Geodesic
On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 2, pp. 88-97

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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. 
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     author = {I. A. Uvarova},
     title = {On {Properties} of {Solutions} to a {System} of {Ordinary} {Differential} {Equations} of {Higher} {Dimension}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {88--97},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_2_a8/}
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I. A. Uvarova. On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 2, pp. 88-97. http://geodesic.mathdoc.fr/item/VNGU_2014_14_2_a8/