On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities

We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differential equations of the second order with rapidly varying nonlinearities and the asymptotic representations of these solutions and their first-order derivatives as $t \uparrow \omega (\omeg...

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Bibliographic Details
Date:2019
Main Authors: Evtukhov, V. M., Chernikova, A. G., Евтухов, В. М., Черникова, А. Г.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1420
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal