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Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations

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Abstract

A bisingular boundary-value problem for an ordinary differential equation is considered. The asymptotics of the solution as the sum of an outer expansion and an analog of a number of functions of the boundary layer is constructed.

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Authors and Affiliations

  1. Osh State University, Osh, Kirghizia

    K. Alymkulov & T. D. Asylbekov

  2. Chelyabinsk State University, Chelyabinsk, Russia

    S. F. Dolbeeva

Authors
  1. K. Alymkulov
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  2. T. D. Asylbekov
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  3. S. F. Dolbeeva
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Correspondence to K. Alymkulov.

Additional information

Original Russian Text © K. Alymkulov, T. D. Asylbekov, S. F. Dolbeeva, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 4, pp. 483–487.

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Alymkulov, K., Asylbekov, T.D. & Dolbeeva, S.F. Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations. Math Notes 94, 451–454 (2013). https://doi.org/10.1134/S0001434613090162

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  • DOI: https://doi.org/10.1134/S0001434613090162

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