Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2007, Volume 198, Issue 7, Pages 1025–1062
DOI: https://doi.org/10.1070/SM2007v198n07ABEH003872 (Mi sm2910) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Moments of solutions of evolution equations and suboptimal programmed controls

D. A. Khrychev

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
English version PDF (507 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2007v198n07ABEH003872
Abstract: Moments of solutions of non-linear differential equations subjected to random perturbations satisfy infinite systems of equations that do not contain finite closed subsystems. One of the methods for approximate solution of such infinite systems consists in replacing them by finite systems obtained from the original one as a result of equating to zero all the moments of sufficiently high order. It is shown that the moments of solutions of a wide class of ordinary differential equations, as well as of certain classes of partial differential equations, are approximated by solutions of those finite systems. The results obtained are used for constructing suboptimal programmed controls of dynamical systems with random parameters.
Bibliography: 10 titles.
Received: 14.08.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 7, Pages 123–160
DOI: https://doi.org/10.4213/sm2910
Bibliographic databases:
UDC: 517.927.7+517.957+519.218.3
MSC: Primary 34F05, 35R60, 49J55; Secondary 35K55, 47J35, 49J15, 49J20, 93E20
Language: English
Original paper language: Russian
Citation: D. A. Khrychev, “Moments of solutions of evolution equations and suboptimal programmed controls”, Mat. Sb., 198:7 (2007), 123–160; Sb. Math., 198:7 (2007), 1025–1062
Citation in format AMSBIB
\Bibitem{Khr07}
\by D.~A.~Khrychev
\paper Moments of solutions of evolution equations and suboptimal programmed
controls
\jour Mat. Sb.
\yr 2007
\vol 198
\issue 7
\pages 123--160
\mathnet{http://mi.mathnet.ru/sm2910}
\crossref{https://doi.org/10.4213/sm2910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2354537}
\zmath{https://zbmath.org/?q=an:1151.34048}
\elib{https://elibrary.ru/item.asp?id=9541675}
\transl
\jour Sb. Math.
\yr 2007
\vol 198
\issue 7
\pages 1025--1062
\crossref{https://doi.org/10.1070/SM2007v198n07ABEH003872}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000250726000007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36048956151}
Linking options:
  • https://www.mathnet.ru/eng/sm2910
  • https://doi.org/10.1070/SM2007v198n07ABEH003872
  • https://www.mathnet.ru/eng/sm/v198/i7/p123
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:483
    Russian version PDF:222
    English version PDF:13
    References:85
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024