An iterative oscillation test for delay difference equations

Abstract

In this paper, we advance a recent oscillation test for the oscillation of the delay difference equation \begin{equation} x(n+1)-x(n)+p(n)x(n-\tau)=0\quad\text{for}\ n=0,1,\cdots,\nonumber \end{equation} where $\{p(n)\}$ is a nonnegative sequence of reals and $\tau$ is a nonnegative integer. We also present a numerical example emphasizing the significance of our new result in the literature of delay difference equations.