RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sib. Zh. Ind. Mat., 2016, Volume 19, Number 2, Pages 47–60 (Mi sjim920)  
This article is cited in 1 scientific paper (total in 1 paper)

On a class of systems of ordinary differential equations of large dimension

G. V. Demidenkoab, I. A. Uvarovaa

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk

Abstract: We consider the Cauchy problem for a class of systems of ordinary differential equations of large dimension. We prove that, for a sufficiently many equations, the last component of the solution to the Cauchy problem is an approximate solution to an initial value problem for a delay differential equation. Estimates of the approximation are obtained.

Keywords: system of ordinary differential equations of large dimension, limit theorem, delay differential equation.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-31528


DOI: https://doi.org/10.17377/sibjim.2016.19.205

Full text: PDF file (250 kB)
References: PDF file   HTML file

English version:
Journal of Applied and Industrial Mathematics, 2016, 10:2, 179–191

Bibliographic databases:

UDC: 517.925.5+517.929
Received: 17.08.2015

Citation: G. V. Demidenko, I. A. Uvarova, “On a class of systems of ordinary differential equations of large dimension”, Sib. Zh. Ind. Mat., 19:2 (2016), 47–60; J. Appl. Industr. Math., 10:2 (2016), 179–191

Citation in format AMSBIB
\Bibitem{DemUva16}
\by G.~V.~Demidenko, I.~A.~Uvarova
\paper On a~class of systems of ordinary differential equations of large dimension
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 2
\pages 47--60
\mathnet{http://mi.mathnet.ru/sjim920}
\crossref{https://doi.org/10.17377/sibjim.2016.19.205}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3549866}
\elib{http://elibrary.ru/item.asp?id=26001726}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 2
\pages 179--191
\crossref{https://doi.org/10.1134/S1990478916020034}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84971264840}


Linking options:
  • http://mi.mathnet.ru/eng/sjim920
  • http://mi.mathnet.ru/eng/sjim/v19/i2/p47

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. V. Demidenko, I. A. Uvarova, Yu. A. Khazova, “On one system of ordinary differential equations of large dimension and a delay equation”, J. Appl. Industr. Math., 13:3 (2019), 447–459  mathnet  crossref  crossref  elib
    		• Сибирский журнал индустриальной математики
    Number of views:
    This page:276
    Full text:66
    References:42
    First page:16
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020