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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
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DOI: https://doi.org/10.4213/mzm9250
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:
    1. Muhammad Asif Zahoor Raja, Saleem Abbas, Muhammed Ibrahem Syam, Abdul Majid Wazwaz, “Design of neuro-evolutionary model for solving nonlinear singularly perturbed boundary value problems”, Appl. Soft. Comput., 62 (2018), 373–394  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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