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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 180–196 (Mi timm1270)  
This article is cited in 1 scientific paper (total in 1 paper)

On a double boundary layer in a nonlinear boundary value problem

S. A. Kordyukovaa, L. A. Kalyakinb

a Ufa State University of Economics and Service
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Full-text PDF (235 kB) Citations (1)
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Abstract: A nonlinear second order differential equation with a small parameter at derivatives is considered in the case when the limiting algebraic equation has a multiple root. The matching method is applied to construct an asymptotic expansion for the solution of the boundary value problem. Two boundary layer variables with different scale are used to describe the asymptotic solution near the boundary.
Keywords: nonlinear equation, small parameter, asymptotics, boundary layer, matching method.
Funding agency Grant number
Russian Science Foundation 14-11-00078
Received: 16.11.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 129–146
DOI: https://doi.org/10.1134/S0081543817050145
Bibliographic databases:
Document Type: Article
UDC: 517.956.226
Language: Russian
Citation: S. A. Kordyukova, L. A. Kalyakin, “On a double boundary layer in a nonlinear boundary value problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 180–196; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 129–146
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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