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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 201–214
DOI: https://doi.org/10.4213/mzm10832 (Mi mzm10832) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Dependence of the Structure of Boundary Layers on the Boundary Conditions in a Singularly Perturbed Boundary-Value Problem with Multiple Root of the Related Degenerate Equation

V. F. Butuzov

Lomonosov Moscow State University
Full-text PDF (460 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm10832
Abstract: We consider the two-point boundary-value problem for a singularly perturbed second-order differential equation for the case in which the related degenerate equation has a double root. It is shown that the structure of boundary layers essentially depends on the degree of proximity of the given boundary values of the solution to the root of the degenerate equation; this phenomenon is determined by the multiplicity of the root.
Keywords: singularly perturbed second-order differential equation, boundary layer, two-point boundary-value problem, three-zone boundary layer, asymptotics of the boundary-layer solution.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04619
Received: 24.06.2015
Revised: 15.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 210–221
DOI: https://doi.org/10.1134/S0001434616010247
Bibliographic databases:
Document Type: Article
UDC: 517.228.4
Language: Russian
Citation: V. F. Butuzov, “On the Dependence of the Structure of Boundary Layers on the Boundary Conditions in a Singularly Perturbed Boundary-Value Problem with Multiple Root of the Related Degenerate Equation”, Mat. Zametki, 99:2 (2016), 201–214; Math. Notes, 99:2 (2016), 210–221
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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