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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 3, Pages 379–383 (Mi zvmmf8069)  

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

Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two

A. B. Vasil'eva

Faculty of Physics, Moscow State University, Moscow, 119992 Russia

Abstract: The occurrence of exponential boundary layers in a second-order ordinary differential equation due to the fact that the degenerate equation has a root of multiplicity two is briefly reviewed.

Key words: singularly perturbed ordinary differential equation of second order, existence of roots of degenerate equation, boundary layers, the method of upper and lower solutions.

Full text: PDF file (155 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:3, 351–354

Bibliographic databases:

UDC: 519.624.2
Received: 29.04.2010
Revised: 01.08.2010

Citation: A. B. Vasil'eva, “Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 379–383; Comput. Math. Math. Phys., 51:3 (2011), 351–354

Citation in format AMSBIB
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\by A.~B.~Vasil'eva
\paper Boundary layers in the solution of singularly perturbed boundary value problem with a~degenerate equation having roots of multiplicity two
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2011
\vol 51
\issue 3
\pages 379--383
\mathnet{http://mi.mathnet.ru/zvmmf8069}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2839571}
\transl
\jour Comput. Math. Math. Phys.
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\vol 51
\issue 3
\pages 351--354
\crossref{https://doi.org/10.1134/S0965542511030110}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. F. Butuzov, “Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation”, Sb. Math., 207:8 (2016), 1100–1126  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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