**Stability in discrete equations with variable delays**

**E. Yankson**, University of Cape Coast, Cape Coast, Ghana

E. J. Qualitative Theory of Diff. Equ., No. 8. (2009), pp. 1-7.

Communicated by P. Eloe. | Received on 2008-11-14 Appeared on 2009-02-16 |

**Abstract: **In this paper we study the stability of the zero solution of difference equations with variable delays. In particular we consider the scalar delay equation

\begin{equation}

\Delta x(n)=-a(n)x(n-\tau(n))

\end{equation}

and its generalization

\begin{equation}

\Delta x(n)=-\sum^{N}_{j=1}a_j(n)x(n-\tau_j(n)).

\end{equation}

Fixed point theorems are used in the analysis.

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