Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 11, Pages 1983–2003 (Mi zvmmf9751)  
This article is cited in 26 scientific papers (total in 26 papers)

Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter

V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1576 kB) Citations (26)
References:
PDF
HTML
Abstract: A singularly perturbed boundary value problem for a system of equations with different powers of a small parameter is considered in the one-dimensional case. The asymptotic behavior and existence of a solution with an internal transition layer are analyzed. The asymptotics are substantiated using the asymptotic method of differential inequalities.
Key words: singularly perturbed system of second-order differential equations, small parameter, asymptotic solution method.
Received: 22.05.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 11, Pages 1526–1546
DOI: https://doi.org/10.1134/S096554251211005X
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova, “Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012), 1983–2003; Comput. Math. Math. Phys., 52:11 (2012), 1526–1546
Citation in format AMSBIB
\Bibitem{ButLevMel12}
\by V.~F.~Butuzov, N.~T.~Levashova, A.~A.~Mel'nikova
\paper Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2012
\vol 52
\issue 11
\pages 1983--2003
\mathnet{http://mi.mathnet.ru/zvmmf9751}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3247702}
\elib{https://elibrary.ru/item.asp?id=18059285}
\transl
\jour Comput. Math. Math. Phys.
\yr 2012
\vol 52
\issue 11
\pages 1526--1546
\crossref{https://doi.org/10.1134/S096554251211005X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314305700006}
\elib{https://elibrary.ru/item.asp?id=20489304}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869830331}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9751
  • https://www.mathnet.ru/eng/zvmmf/v52/i11/p1983
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025