TY - JOUR AU - V. M. Evtukhov AU - A. M. Klopot PY - 2013/03/25 Y2 - 2024/03/28 TI - Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ with Regularly Varying Nonlinearities JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 3 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2424 AB - Existence conditions and asymptotic (as $t \uparrow \omega (\omega \leq +\infty)$) representations are obtained for one class of monotone solutionsof an $n$th-order differential equation whose right-hand side contains a sum of terms with regularly varying nonlinearities. ER -