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On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation

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Abstract

Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.

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References

  1. A. B. Vasil’eva and V. F. Butuzov, AsymptoticMethods in the Theory of Singular Perturbations (Vysshaya Shkola, Moscow, 1990) [in Russian].

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. F. Butuzov

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  1. V. F. Butuzov
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Correspondence to V. F. Butuzov.

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Original Russian Text © V. F. Butuzov, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 1, pp. 68–80.

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Butuzov, V.F. On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. Math Notes 94, 60–70 (2013). https://doi.org/10.1134/S0001434613070067

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  • DOI: https://doi.org/10.1134/S0001434613070067

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