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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2016-06-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6933 |