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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)
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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
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    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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