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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 3, Pages 70–78 (Mi ivm9340)  
This article is cited in 16 scientific papers (total in 16 papers)

Asymptotic solving linear bisingular problems with additional boundary layer

D. A. Tursunov

Osh State University, 331 Lenin str., Osh, 723500 Kyrgyzstan
Full-text PDF (201 kB) Citations (16)
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Abstract: We study two bisingular Dirichlet problem with the additional boundary layer: 1) for the second order linear elliptic equation in a ring, 2) for linear ordinary differential equations of second order in a segment. We construct asymptotic solutions of the three-zone, bisingular Dirichlet by using the generalized method of boundary functions and obtain estimates for the residual functions.
Keywords: asymptotic solution, the Dirichlet problem, boundary functions, small parameter, bisingularly problem, three-zone problem, intermediate boundary layer, additional boundary layer.
Received: 12.12.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 3, Pages 60–67
DOI: https://doi.org/10.3103/S1066369X18030088
Bibliographic databases:
Document Type: Article
UDC: 517.955:517.928
Language: Russian
Citation: D. A. Tursunov, “Asymptotic solving linear bisingular problems with additional boundary layer”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 70–78; Russian Math. (Iz. VUZ), 62:3 (2018), 60–67
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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