Small solutions of the damped half-linear oscillator with step function coefficients

In this paper we consider the damped half-linear oscillator \begin{equation*} x''|x'|^{n-1} + c(t) |x'|^{n-1} x' + a(t)|x|^{n-1}x=0, \qquad n \in \mathbb{R}^+. \end{equation*} We give a sufficient condition guaranteeing the existence of a small solution, that is a non-trivia...

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Bibliographic Details
Main Authors: Attila Dénes, László Székely
Format: Article
Language:English
Published: University of Szeged 2016-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6933