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Asymptotic behavior of solutions of nth-order ordinary differential equations with regularly varying nonlinearities

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Abstract

We obtain existence conditions and asymptotic, as t → ω (ω ≤ +∞), representations of a certain class of monotone solutions of an nth-order differential equation whose right-hand side is a sum of terms with regularly varying nonlinearities.

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Authors and Affiliations

  1. 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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Correspondence to V. M. Evtukhov.

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Original Russian Text © V.M. Evtukhov, A.M. Klopot, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 5, pp. 584–600.

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Evtukhov, V.M., Klopot, A.M. Asymptotic behavior of solutions of nth-order ordinary differential equations with regularly varying nonlinearities. Diff Equat 50, 581–597 (2014). https://doi.org/10.1134/S0012266114050024

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  • DOI: https://doi.org/10.1134/S0012266114050024

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