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On the Solutions of Oscillating-Type Countable Differential Systems with Slowly Varying Parameters

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For a countable quasilinear system of differential equations whose coefficients have the form of absolutely and uniformly convergent Fourier series with slowly varying coefficients and frequency, we obtain conditions for the existence of a partial solution of a similar structure. As a result, we establish conditions for the possibility of complete decomposition of a countable linear homogeneous differential system with coefficients of the same structure.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    S. A. Shchogolev & V. V. Jashitova

Authors
  1. S. A. Shchogolev
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  2. V. V. Jashitova
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 59, No. 2, pp. 86–93, April–June, 2016.

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Shchogolev, S.A., Jashitova, V.V. On the Solutions of Oscillating-Type Countable Differential Systems with Slowly Varying Parameters. J Math Sci 231, 587–597 (2018). https://doi.org/10.1007/s10958-018-3836-7

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  • DOI: https://doi.org/10.1007/s10958-018-3836-7

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