Email this article Asymptotics of Slowly Varying Solutions of Ordinary Binomial Differential Equations of the Second Order with Rapidly Varying Nonlinearity
- Authors: Evtukhov V.N.1, Chernikova A.G.1
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Affiliations:
- Mechnikov Odessa National University
- Issue: Vol 228, No 3 (2018)
- Pages: 207-225
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240221
- DOI: https://doi.org/10.1007/s10958-017-3616-9
- ID: 240221
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Abstract
We establish the conditions for the existence of one class of solutions of a nonautonomous binomial differential equation of the second order with rapidly varying nonlinearity and the asymptotic representations for these solutions and their first derivatives as t ↑ ω (ω ≤ +∞).
About the authors
V. N. Evtukhov
Mechnikov Odessa National University
Author for correspondence.
Email: emden@farlep.net
Ukraine, Dvoryanskaya Str., 2, Odessa, 65026
A. G. Chernikova
Mechnikov Odessa National University
Email: emden@farlep.net
Ukraine, Dvoryanskaya Str., 2, Odessa, 65026
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