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Singularly perturbed problems with boundary and internal layers

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Abstract

This paper is an expanded version of the talk given by the authors at the International Conference “Differential Equations and Topology” dedicated to the centenary of the birth of L.S. Pontryagin. We present a brief survey and describe new ideas and methods of analysis in the asymptotic theory of solutions with internal layers, which is one of the topical fields of singular perturbation theory.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    A. B. Vasil’eva, V. F. Butuzov & N. N. Nefedov

Authors
  1. A. B. Vasil’eva
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  2. V. F. Butuzov
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  3. N. N. Nefedov
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Additional information

Original Russian Text © A.B. Vasil’eva, V.F. Butuzov, N.N. Nefedov, 2010, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Vol. 268, pp. 268–283.

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Vasil’eva, A.B., Butuzov, V.F. & Nefedov, N.N. Singularly perturbed problems with boundary and internal layers. Proc. Steklov Inst. Math. 268, 258–273 (2010). https://doi.org/10.1134/S0081543810010189

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  • DOI: https://doi.org/10.1134/S0081543810010189

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