Asymptotic behavior of solutions of a scalar delay difference equations with continuous time


Hajnalka Péics, Andrea Rožnjik




In this work we study the asymptotic behavior of solutions of scalar delay difference equation with continuous time of the form \[ x(t)=a(t)x(t-1)+b(t)x(p(t)), \] where $a$, $b$, $p$ are given real functions such that $p(t)<t$ and $p$ is monotone increasing.