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Asymptotic Behavior of the Solutions of Boundary-Value Problems for Singularly Perturbed Integrodifferential Equations

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Ukrainian Mathematical Journal Aims and scope

We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two higher derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved.

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Authors and Affiliations

  1. Al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    M. K. Dauylbayev

  2. Al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    A. B. Uaissov

Authors
  1. M. K. Dauylbayev
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  2. A. B. Uaissov
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Correspondence to M. K. Dauylbayev or A. B. Uaissov.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 11, pp. 1466–1479, November, 2019.

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Dauylbayev, M.K., Uaissov, A.B. Asymptotic Behavior of the Solutions of Boundary-Value Problems for Singularly Perturbed Integrodifferential Equations. Ukr Math J 71, 1677–1691 (2020). https://doi.org/10.1007/s11253-020-01741-w

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  • DOI: https://doi.org/10.1007/s11253-020-01741-w

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