The Schröder equation and asymptotic properties of linear delay differential equations

We study the asymptotic behaviour of solutions of the differential equation $$ \dot{x}(t)=-p(t)[x(t)-kx(t-\tau (t))]+q(t),\qquad t\in I=[t_0,\infty), $$ where $k\ne 0$ is a scalar, $p$ is a positive function and $\tau$ is a positive and unbounded delay. Our aim is to show that under some asymptotic...

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Bibliographic Details
Main Author: Jan Čermák
Format: Article
Language:English
Published: University of Szeged 2004-08-01
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=193