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On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation

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Abstract

In the present article, the method of deviating argument is applied to solving a singularly perturbed Cauchy problem for an ordinary differential equation of the second order with variable coefficients.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Informatics, and Mechanics, Almaty, Kazakhstan

    T. Sh. Kal’menov

  2. South-Kazakh State University, Shymkent, 160012, Kazakhstan

    A. Sh. Shaldanbaev

Authors
  1. T. Sh. Kal’menov
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  2. A. Sh. Shaldanbaev
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Corresponding author

Correspondence to T. Sh. Kal’menov.

Additional information

Original Russian Text © T. Sh. Kal’menov and A. Sh. Shaldanbaev, 2010, published in Matematicheskie Trudy, 2010, Vol. 13, No. 2, pp. 128–138.

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Kal’menov, T.S., Shaldanbaev, A.S. On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation. Sib. Adv. Math. 21, 274–281 (2011). https://doi.org/10.3103/S1055134411040055

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  • DOI: https://doi.org/10.3103/S1055134411040055

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