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Matematicheskie Zametki, 1997, Volume 62, Issue 4, Pages 494–501
DOI: https://doi.org/10.4213/mzm1632 (Mi mzm1632) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Singularly perturbed problems with double singularity

Yu. A. Konyaev

Moscow Power Engineering Institute (Technical University)
Full-text PDF (161 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm1632
Abstract: A class of singularly perturbed initial and boundary value problems for systems of linear differential equations with singularities of various types is studied. The asymptotics of the solutions of these problems is constructed; in contrast to known results, it involves boundary layers of new types that are dependent not only on the spectrum of the limit operator.
Received: 09.03.1995
Revised: 10.01.1997
English version:
Mathematical Notes, 1997, Volume 62, Issue 4, Pages 414–419
DOI: https://doi.org/10.1007/BF02358973
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: Yu. A. Konyaev, “Singularly perturbed problems with double singularity”, Mat. Zametki, 62:4 (1997), 494–501; Math. Notes, 62:4 (1997), 414–419
Citation in format AMSBIB
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\paper Singularly perturbed problems with double singularity
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\pages 494--501
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\jour Math. Notes
\yr 1997
\vol 62
\issue 4
\pages 414--419
\crossref{https://doi.org/10.1007/BF02358973}
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Linking options:
  • https://www.mathnet.ru/eng/mzm1632
  • https://doi.org/10.4213/mzm1632
  • https://www.mathnet.ru/eng/mzm/v62/i4/p494
    • This publication is cited in the following 7 articles:
    1. Asan Omuraliev, Peil Esengul Kyzy, Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows, 2023  crossref
    2. Omuraliev A.S. Abylaeva E.D. Kyzy P.E., “Parabolic Problem With a Power-Law Boundary Layer”, Differ. Equ., 57:1 (2021), 75–85  crossref  isi
    3. A. S. Omuraliev, P. Esengul kyzy, “A Singularly Perturbed System of Parabolic Equations”, Lobachevskii J Math, 42:15 (2021), 3696  crossref
    4. Asan S. Omuraliev, Élla D. Abylaeva, “Ordinary differential equations with power boundary layers”, J Math Sci, 242:3 (2019), 427  crossref
    5. Xinzhi Liu, Xuemin Shen, Yi Zhang, “Exponential Stability of Singularly Perturbed Systems with Time Delay”, Applicable Analysis, 82:2 (2003), 117  crossref
    6. Konyaev, YA, “A class of singularly perturbed boundary value problems with unstable spectrum of the limit operator”, Differential Equations, 37:4 (2001), 589  mathnet  crossref  mathscinet  zmath  isi  scopus  scopus
    7. Yu. A. Konyaev, “The splitting method in the theory of regular and singular perturbations”, Russian Math. (Iz. VUZ), 44:6 (2000), 8–13  mathnet  mathscinet  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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