Exponential estimates of solutions of difference equations with continuous time

In this paper we study the scalar difference equation with continuous time of the form \[x(t)=a(t)x(t-1)+b(t)x(p(t)),\] where $a,b:[t_0,\infty)\to {\bf R}$ are given real functions for $t_0>0$ and $p:[t_0,\infty)\to {\bf R}$ is a given function such that $p(t)\le t$, $\lim_{t\to\infty}p(t)=\inft...

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Bibliographic Details
Main Author: Hajnalka Péics
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=199