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Construction of approximations for a stationary solution of a system of singular ordinary differential equations

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Abstract

We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required stationary solution.

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Authors and Affiliations

  1. Physicomechanical Institute, Ukrainian Academy of Sciences, Lviv

    I. M. Romanyshyn

  2. Lviv University, Lviv

    L. A. Synyts’kyi

Authors
  1. I. M. Romanyshyn
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  2. L. A. Synyts’kyi
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 774–778, June, 1997

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Romanyshyn, I.M., Synyts’kyi, L.A. Construction of approximations for a stationary solution of a system of singular ordinary differential equations. Ukr Math J 49, 865–870 (1997). https://doi.org/10.1007/BF02513426

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  • DOI: https://doi.org/10.1007/BF02513426

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