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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 197–211 (Mi timm1271)  
This article is cited in 2 scientific papers (total in 2 papers)

On the asymptotics of a solution to an equation with a small parameter in a neighborhood of a point of inflexion

E. F. Lelikovaab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (218 kB) Citations (2)
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Abstract: We study the asymptotic behavior of the first boundary value problem for a second-order elliptic equation in the case where the small parameter is a factor at only one of the highest derivatives and the limit equation is an ordinary differential equation. Although the limit equation has the same order as the original equation, the problem under consideration is bisingular. We investigate the asymptotic behavior of this problem using the method of matched asymptotic expansions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00322
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 132–147
DOI: https://doi.org/10.1134/S0081543817090164
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. F. Lelikova, “On the asymptotics of a solution to an equation with a small parameter in a neighborhood of a point of inflexion”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 197–211; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 132–147
Citation in format AMSBIB
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\paper On the asymptotics of a solution to an equation with a small parameter in a neighborhood of a point of inflexion
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\vol 22
\issue 1
\pages 197--211
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 299
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\pages 132--147
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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