Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ with Regularly Varying Nonlinearities

  • V. M. Evtukhov
  • A. M. Klopot Одес. нац. ун-т им. И. И. Мечникова

Abstract

Existence conditions and asymptotic (as $t \uparrow \omega (\omega \leq +\infty)$) representations are obtained for one class of monotone solutions of an $n$th-order differential equation whose right-hand side contains a sum of terms with regularly varying nonlinearities.
Published
25.03.2013
How to Cite
Evtukhov, V. M., and A. M. Klopot. “Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ With Regularly Varying Nonlinearities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 3, Mar. 2013, pp. 354-80, https://umj.imath.kiev.ua/index.php/umj/article/view/2424.
Section
Research articles