TY - JOUR AU - V. M. Evtukhov AU - A. G. Chernikova PY - 2017/10/25 Y2 - 2024/03/29 TI - Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 69 IS - 10 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1786 AB - We establish conditions for the existence of one class of solutions of two-term nonautonomous differential equations of thesecond-order with rapidly varying nonlinearities and the asymptotic representations for these solutions and their first-orderderivatives as и $t \uparrow \omega (\omega \leq +\infty )$. ER -