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

• Дата: 2017
• Автори: Evtukhov, V. M., Chernikova, A. G., Евтухов, В. М., Черникова, А. Г.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2017
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1786
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...