Asymptotic stability of two dimensional systems of linear difference equations and of second order half-linear differential equations with step function coefficients
We give a sufficient condition guaranteeing asymptotic stability with respect to $x$ for the zero solution of the half-linear differential equation \[x''|x'|^{n-1} + q(t)|x|^{n-1}x=0, \qquad 1\le n \in \mathbb{R},\] with step function coefficient $q$. The geometric method of the proof...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2011-06-01
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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=784 |