On the differential and difference equation with a power delayed argument

We study the qualitative behaviour of solutions of the differential equation $$ \dot{y}(t)=a\,y(t^{\alpha})+b\,y(t),\qquad t\in [1,\infty ), $$ where $0<\alpha <1$, $a\ne 0$, $b\le 0$ are real scalars. Our aim is to present (and using the analysis of the numerical discretization also partly ex...

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Bibliographic Details
Main Author: Jan Čermák
Format: Article
Language:English
Published: University of Szeged 2008-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=316