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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 222–226
DOI: https://doi.org/10.4213/mzm9250
(Mi mzm9250)
 

This article is cited in 1 scientific paper (total in 1 paper)

Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator

A. G. Eliseeva, Yu. A. Konyaevb, D. A. Shaposhnikovaa

a National Research University "Moscow Power Engineering Institute"
b Peoples Friendship University of Russia, Moscow
Full-text PDF (383 kB) Citations (1)
References:
Abstract: The paper contains an asymptotic study of solutions of singularly perturbed boundary-value problems in the case of a limit operator with unstable spectrum. The main singularities of the solution are described and the principal term of the asymptotics is constructed.
Keywords: singularly perturbed boundary-value problem, unstable spectrum of the limit operator, regularization method, nonlocal boundary-value problem, turning point.
Received: 06.09.2011
Revised: 09.04.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 204–207
DOI: https://doi.org/10.1134/S0001434614010210
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: A. G. Eliseev, Yu. A. Konyaev, D. A. Shaposhnikova, “Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator”, Mat. Zametki, 95:2 (2014), 222–226; Math. Notes, 95:2 (2014), 204–207
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm9250
  • https://doi.org/10.4213/mzm9250
  • https://www.mathnet.ru/eng/mzm/v95/i2/p222
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:332
    Full-text PDF :169
    References:56
    First page:38
     
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