- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 1
- An iterative oscillation test for delay difference equations
An iterative oscillation test for delay difference equations
Authors : Başak Karpuz, Zehra Ozsever
Pages : 74-82
Doi:10.15672/hujms.944131
View : 12 | Download : 4
Publication Date : 2022-02-14
Article Type : Research
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.Keywords : Oscillation, Difference equations, Iteration