Geodesic
On one system of ordinary differential equations of large dimension and a delay equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 59-73

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We consider some system of ordinary differential equations modeling a multistage synthesis of a substance. We prove the global limit theorems that establish connections between the solutions to a system of ordinary differential equations of large dimension and the solutions to a delay equation. The obtained results enable us to find the approximate solutions to the systems under consideration of an arbitrarily high dimension on the whole half-axis. Some approximation estimates are established.
Keywords: system of ordinary differential equations of high dimension, delay equation, global limit theorem, approximation estimate. 
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     author = {G. V. Demidenko and I. A. Uvarova and Yu. A. Khazova},
     title = {On one system of ordinary differential equations of large dimension and a delay equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a5/}
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G. V. Demidenko; I. A. Uvarova; Yu. A. Khazova. On one system of ordinary differential equations of large dimension and a delay equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 59-73. http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a5/