V. M. Evtukhov, N. P. Kolun

Asymptotic Behaviour of Solutions of Second-Order Nonlinear Differential Equations

The existence conditions and asymptotic representations as $t\uparrow\omega$ $(\omega\leq+\infty)$ of one class of monotonous solutions of the $n$-th order differential equations containing on the right-hand side a sum of terms with regularly varying nonlinearities are established.

Mathematics Subject Classification: 34D05, 34C11

Key words and phrases: Second-order differential equations, regularly varying nonlinearities, rapidly varying nonlinearities, asymptotics of solutions