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Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I

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Abstract

We establish asymptotic representations for one class of unbounded solutions of second-order differential equations whose right-hand sides contain a sum of terms with nonlinearities of a more general form than nonlinearities of the Emden-Fowler type.

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Authors and Affiliations

  1. Odessa National University, Odessa, Ukraine

    V. M. Evtukhov & V. A. Kas'yanova

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  1. V. M. Evtukhov
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  2. V. A. Kas'yanova
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 3, pp. 338–355, March, 2005.

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Evtukhov, V.M., Kas'yanova, V.A. Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I. Ukr Math J 57, 406–426 (2005). https://doi.org/10.1007/s11253-005-0199-2

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  • DOI: https://doi.org/10.1007/s11253-005-0199-2

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