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On an asymptotic solution of a singularly perturbed system with two small parameters

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Abstract

An initial value problem for a singularly perturbed system of two nonlinear ordinary differential equations with two small parameters is considered. An asymptotic expansion of a solution of this problem is constructed under the assumption that the parameters tend to zero independently of each other.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Ekaterinburg, 620219, Russia

    O. O. Kovrizhnykh

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  1. O. O. Kovrizhnykh
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Original Russian Text © O.O. Kovrizhnykh, 2007, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Vol. 13, No. 2.

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Kovrizhnykh, O.O. On an asymptotic solution of a singularly perturbed system with two small parameters. Proc. Steklov Inst. Math. 259 (Suppl 2), S178–S189 (2007). https://doi.org/10.1134/S0081543807060120

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  • DOI: https://doi.org/10.1134/S0081543807060120

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