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On one class of solutions of a countable quasilinear system of differential equations with slowly varying parameters

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Abstract

For a countable quasilinear differential system whose coefficients are represented as Fourier series with slowly varying coefficients and frequency, we present conditions under which solutions of this system have analogous structure.

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Authors and Affiliations

  1. Odessa University, Odessa

    S. A. Shchegolev

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  1. S. A. Shchegolev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 8, pp. 1121–1128, August, 1998.

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Shchegolev, S.A. On one class of solutions of a countable quasilinear system of differential equations with slowly varying parameters. Ukr Math J 50, 1280–1289 (1998). https://doi.org/10.1007/BF02513083

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  • DOI: https://doi.org/10.1007/BF02513083

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