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Asymptotic Representation of the Solutions of Differential Equations with Regularly Varying Nonlinearities

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Ukrainian Mathematical Journal Aims and scope

We establish the conditions of existence of some types of power-type solutions of a binomial nonautonomous ordinary differential equation with regularly varying nonlinearities.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    V. M. Evtukhov & E. S. Korepanova

Authors
  1. V. M. Evtukhov
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  2. E. S. Korepanova
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 9, pp. 1198–1216, September, 2017.

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Evtukhov, V.M., Korepanova, E.S. Asymptotic Representation of the Solutions of Differential Equations with Regularly Varying Nonlinearities. Ukr Math J 69, 1393–1415 (2018). https://doi.org/10.1007/s11253-018-1439-6

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  • DOI: https://doi.org/10.1007/s11253-018-1439-6

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