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Matematicheskie Zametki, 2013, Volume 94, Issue 4, Pages 483–487
DOI: https://doi.org/10.4213/mzm10317 (Mi mzm10317) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations

K. Alymkulova, T. D. Asylbekova, S. F. Dolbeevab

a Osh State University
b Chelyabinsk State University
Full-text PDF (416 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm10317
Abstract: A bisingular boundary-value problem for an ordinary differential equation is considered. The asymptotics of the solution as the sum of an outer expansion and an analog of a number of functions of the boundary layer is constructed.
Keywords: bisingularly perturbed differential equation, boundary-value problem, boundary function method, maximum principle.
Received: 16.07.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 4, Pages 451–454
DOI: https://doi.org/10.1134/S0001434613090162
Bibliographic databases:
Document Type: Article
UDC: 517.928
Language: Russian
Citation: K. Alymkulov, T. D. Asylbekov, S. F. Dolbeeva, “Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations”, Mat. Zametki, 94:4 (2013), 483–487; Math. Notes, 94:4 (2013), 451–454
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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