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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 2, Pages 284–294 (Mi zvmmf521)  
This article is cited in 6 scientific papers (total in 6 papers)

On a problem with nonperiodic frequent alternation of boundary conditions imposed on fast oscillating sets

D. I. Borisov

Bashkir State Pedagogical University, ul. Oktyabr'skoi revolyutsii 3a, Ufa, 450000, Bashkortostan, Russia
Full-text PDF (1343 kB) Citations (6)
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Abstract: A singularly perturbed eigenvalue problem for the Laplacian in a cylinder is considered. The problem is characterized by frequent nonperiodic alternation of boundary conditions imposed on narrow strips lying on the cylinder's lateral surface. The width of the strips is an arbitrary function of a small parameter and can oscillate rapidly, with the nature of the oscillations being arbitrary. Sharp estimates are derived for the convergence rate of the eigenvalues and eigenfunctions in the problem.
Key words: singularly perturbed problem, eigenvalue problem, convergence rate, asymptotic expansions.
Received: 05.08.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 2, Pages 271–281
DOI: https://doi.org/10.1134/S0965542506020096
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: D. I. Borisov, “On a problem with nonperiodic frequent alternation of boundary conditions imposed on fast oscillating sets”, Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006), 284–294; Comput. Math. Math. Phys., 46:2 (2006), 271–281
Citation in format AMSBIB
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\paper On a~problem with nonperiodic frequent alternation of boundary conditions imposed on fast oscillating sets
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  • https://www.mathnet.ru/eng/zvmmf/v46/i2/p284
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:60
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