TY - JOUR
AU - V. M. Evtukhov
AU - A. G. Chernikova
PY - 2019/01/25
Y2 - 2020/12/02
TI - On the asymptotic of solutions of second-order differential
equations with rapidly varying nonlinearities
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 1
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1420
AB - We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differentialequations of the second order with rapidly varying nonlinearities and the asymptotic representations of these solutions andtheir first-order derivatives as $t \uparrow \omega (\omega \leq +\infty )$.
ER -