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Asymptotic Representations of the Solutions of Differential Equations with Regularly and Rapidly Varying Nonlinearities

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We establish the asymptotic properties of some types of solutions of the second-order differential equations whose right-hand sides contain a sum of terms with regularly and rapidly varying nonlinearities.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    V. М. Evtukhov & N. P. Kolun

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  1. V. М. Evtukhov
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  2. N. P. Kolun
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 1, pp. 32–42, January–March, 2017.

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Evtukhov, V.М., Kolun, N.P. Asymptotic Representations of the Solutions of Differential Equations with Regularly and Rapidly Varying Nonlinearities. J Math Sci 240, 34–47 (2019). https://doi.org/10.1007/s10958-019-04334-6

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