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.

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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