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
\Delta x(n)=-a(n)x(n-\tau(n))
and its generalization
\Delta x(n)=-\sum^{N}_{j=1}a_j(n)x(n-\tau_j(n)).
Fixed point theorems are used in the analysis.

You can download the full text of this paper in DVI, PostScript or PDF format.