Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations

• Date: 2011
• Main Authors: Evtukhov, V. M., Koz'ma, A. A., Евтухов, В. М., Козьма, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2775
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish existence theorems and asymptotic representations for some classes of solutions of second-order differential equations whose right-hand sides contain nonlinearities of a more general form than nonlinearities of the Emden - Fowler type.