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

UDC 517.925 We establish new results concerning the conditions of existence of one class of monotonous solutions of a two-term nonautonomous differential equation of the the second-order with a rapidly varying nonlinearity. These results essentially supplement the results of previous researches. &am...

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Datum:2021
Hauptverfasser: Evtukhov , V. M., Chernikova , A. G., Evtukhov, V.M., Євтухов, В. М., Чернiкова, А. Г.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/627
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.925 We establish new results concerning the conditions of existence of one class of monotonous solutions of a two-term nonautonomous differential equation of the the second-order with a rapidly varying nonlinearity. These results essentially supplement the results of previous researches.  
DOI:10.37863/umzh.v73i4.627