Global asymptotic stability of a system of difference equations

Author: Yalcinkaya Ibrahim   Cinar Cengiz   Simsek Dagistan  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.87, Iss.6, 2008-06, pp. : 677-687

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Abstract

In this article, a sufficient condition is obtained for the global asymptotic stability of the following system of difference equations [image omitted] where the parameter a ∈ (0, ∞) and the initial values (zk, tk) ∈ (0, ∞) (for k = -1, 0).