Email this article A class of systems of ordinary differential equations of large dimension
- Authors: Demidenko G.V.1,2, Uvarova I.A.1
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 10, No 2 (2016)
- Pages: 179-191
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212322
- DOI: https://doi.org/10.1134/S1990478916020034
- ID: 212322
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Abstract
We consider the Cauchy problem for a class of systems of ordinary differential equations of large dimension.We prove that, for sufficiently large number of equations, the last component of a solution to the Cauchy problem is an approximate solution to the initial value problem for a delay differential equation. Estimates of the approximation are obtained.
About the authors
G. V. Demidenko
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
I. A. Uvarova
Sobolev Institute of Mathematics
Email: demidenk@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090
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