Standard

On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation. / Demidenko, G. V.; Uvarova, I. A.; Khazova, Yu A.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 3, 01.07.2019, p. 447-459.

Research output: Contribution to journal › Article › peer-review

Harvard

Demidenko, GV, Uvarova, IA & Khazova, YA 2019, 'On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation', Journal of Applied and Industrial Mathematics, vol. 13, no. 3, pp. 447-459. https://doi.org/10.1134/S1990478919030062

APA

Demidenko, G. V., Uvarova, I. A., & Khazova, Y. A. (2019). On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation. Journal of Applied and Industrial Mathematics, 13(3), 447-459. https://doi.org/10.1134/S1990478919030062

Vancouver

Demidenko GV, Uvarova IA, Khazova YA. On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation. Journal of Applied and Industrial Mathematics. 2019 Jul 1;13(3):447-459. doi: 10.1134/S1990478919030062

Author

Demidenko, G. V. ; Uvarova, I. A. ; Khazova, Yu A. / On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 3. pp. 447-459.

BibTeX

@article{7faa47232d634425a34c4796591685e8,
title = "On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation",
abstract = "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 = "approximation estimate, delay equation, global limit theorem, system of ordinary differential equations of high dimension",
author = "Demidenko, {G. V.} and Uvarova, {I. A.} and Khazova, {Yu A.}",
year = "2019",
month = jul,
day = "1",
doi = "10.1134/S1990478919030062",
language = "English",
volume = "13",
pages = "447--459",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

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 -

ID: 21452026