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Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II

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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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References

  1. V. M. Evtukhov and V. A. Kas’yanova, “Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. I,” Ukr. Mat. Zh., 57, No. 3, 338–355 (2005).

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Authors and Affiliations

  1. Odessa National University, Odessa

    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. 58, No. 7, pp. 901–921, July, 2006.

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Evtukhov, V.M., Kas’yanova, V.A. Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II. Ukr Math J 58, 1016–1041 (2006). https://doi.org/10.1007/s11253-006-0120-7

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  • DOI: https://doi.org/10.1007/s11253-006-0120-7

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