Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2013, Volume 94, Issue 1, Pages 68–80
DOI: https://doi.org/10.4213/mzm10106 (Mi mzm10106) 		 
This article is cited in 39 scientific papers (total in 39 papers)

On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation

V. F. Butuzov

M. V. Lomonosov Moscow State University
Full-text PDF (457 kB) Citations (39)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10106
Abstract: Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.
Keywords: singularly perturbed problem, second-order differential equation, boundary layer, boundary layer series.
Received: 21.07.2012
Revised: 26.12.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 1, Pages 60–70
DOI: https://doi.org/10.1134/S0001434613070067
Bibliographic databases:
Document Type: Article
UDC: 517.228.4
Language: Russian
Citation: V. F. Butuzov, “On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation”, Mat. Zametki, 94:1 (2013), 68–80; Math. Notes, 94:1 (2013), 60–70
Citation in format AMSBIB
\Bibitem{But13}
\by V.~F.~Butuzov
\paper On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation
\jour Mat. Zametki
\yr 2013
\vol 94
\issue 1
\pages 68--80
\mathnet{http://mi.mathnet.ru/mzm10106}
\crossref{https://doi.org/10.4213/mzm10106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3206068}
\zmath{https://zbmath.org/?q=an:06228529}
\elib{https://elibrary.ru/item.asp?id=20731758}
\transl
\jour Math. Notes
\yr 2013
\vol 94
\issue 1
\pages 60--70
\crossref{https://doi.org/10.1134/S0001434613070067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000323665000006}
\elib{https://elibrary.ru/item.asp?id=20455367}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883319103}
Linking options:
  • https://www.mathnet.ru/eng/mzm10106
  • https://doi.org/10.4213/mzm10106
  • https://www.mathnet.ru/eng/mzm/v94/i1/p68
    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:553
    Full-text PDF :229
    References:101
    First page:59
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024