Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities

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

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Bibliographic Details
Date:2017
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 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1786
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal