TY - JOUR

T1 - On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation

AU - Demidenko, G. V.

AU - Uvarova, I. A.

AU - Khazova, Yu A.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - 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.

AB - 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.

KW - approximation estimate

KW - delay equation

KW - global limit theorem

KW - system of ordinary differential equations of high dimension

UR - http://www.scopus.com/inward/record.url?scp=85071421824&partnerID=8YFLogxK

U2 - 10.1134/S1990478919030062

DO - 10.1134/S1990478919030062

M3 - Article

AN - SCOPUS:85071421824

VL - 13

SP - 447

EP - 459

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -