# Asymptotic behavior of first order delay difference equation with a forcing term

## DOI:

https://doi.org/10.14419/ijamr.v4i2.4244## Published:

2015-03-08## Keywords:

Asymptotic Behavior, Delay Difference Equation, Oscillatory Solution.## Abstract

In this paper, we study the asymptotic behavior of solutions of the following first order forced delay difference equation \begin{equation*}\quad \quad \quad \quad \Delta x(n)+p(n)f(x(n-\tau))+r(n)=0,\quad n\geq 0. \quad \quad \quad \quadÂ (*)\end{equation*} Some sufficient conditions for every solution of (*) to tend to zero are established.## References

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