An iterative oscillation test for delay difference equations

Year 2022, Volume: 51 Issue: 1, 74 - 82, 14.02.2022

Başak Karpuz Zehra Ozsever

https://doi.org/10.15672/hujms.944131

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

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