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Asymptotic Solution of Linear Bisingular Problems With Additional Boundary Layer

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Abstract

We study two bisingular Dirichlet problem with the additional boundary layer: 1) for the second order linear elliptic equation in a ring, 2) for linear ordinary differential equations of second order in a segment. We construct asymptotic solutions to the three-zone, bisingular Dirichlet problems by using the generalized method of boundary functions and obtain estimates for the residual functions.

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Authors and Affiliations

  1. Osh State University, ul. Lenina 331, Osh, 723500, Kyrgyzstan

    D. A. Tursunov

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  1. D. A. Tursunov
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Correspondence to D. A. Tursunov.

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Original Russian Text © D.A. Tursunov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 3, pp. 70–78.

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Tursunov, D.A. Asymptotic Solution of Linear Bisingular Problems With Additional Boundary Layer. Russ Math. 62, 60–67 (2018). https://doi.org/10.3103/S1066369X18030088

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  • DOI: https://doi.org/10.3103/S1066369X18030088

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