Email this article Asymptotics of the Solutions of Second-Order Differential Equations with Regularly and Rapidly Varying Nonlinearities
- Authors: Evtukhov V.M.1, Kolun N.P.2
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Affiliations:
- Mechnikov Odessa National University
- Military Academy
- Issue: Vol 243, No 3 (2019)
- Pages: 381-408
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243101
- DOI: https://doi.org/10.1007/s10958-019-04546-w
- ID: 243101
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Abstract
We establish conditions for the existence of a class of monotone solutions of the second-order differential equations with regularly and rapidly varying nonlinearities and the asymptotic representations of these solutions as t ↑ ω (ω ≤ + ∞).
About the authors
V. M. Evtukhov
Mechnikov Odessa National University
Author for correspondence.
Email: emden@farlep.net
Ukraine, Dvoryanskaya Str., 2, Odessa, 65026
N. P. Kolun
Military Academy
Email: emden@farlep.net
Ukraine, Fontanskaya Road, 10, Odessa, 65009
