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Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order n with Regularly Varying Nonlinearities

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Ukrainian Mathematical Journal Aims and scope

Existence conditions and asymptotic (as t ↑ ω (ω ≤ +∞)) representations are obtained for one class of monotone solutions of a differential equation of order n whose right-hand side contains partial sums of terms with regularly varying nonlinearities.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    V. M. Evtukhov & A. M. Klopot

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  1. V. M. Evtukhov
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  2. A. M. Klopot
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 3, pp. 354–380, March, 2013.

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Evtukhov, V.M., Klopot, A.M. Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order n with Regularly Varying Nonlinearities. Ukr Math J 65, 393–422 (2013). https://doi.org/10.1007/s11253-013-0785-7

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  • DOI: https://doi.org/10.1007/s11253-013-0785-7

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