Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions

• Date: 2019
• Main Authors: Evtukhov, V. M., Droggina, A. V., Евтухов, В. М., Дрожжина, А.В., Євтухов, В. М., Дрожжина, А. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1006
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The conditions of existence and asymptotic representations as $t\uparrow\omega \ (\omega\le +\infty)$ are obtained for one class of solutions of nonautonomous differential equations of the $n$th order that are asymptotically close, in a certain sense, to the equations with regularly varying nonlinea...