2017
Том 69
№ 7

All Issues

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

Evtukhov V. M., Klopot A. M.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 3, pp 393-422.

Citation Example: Evtukhov V. M., Klopot A. M. Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ with Regularly Varying Nonlinearities // Ukr. Mat. Zh. - 2013. - 65, № 3. - pp. 354-380.

Full text