Global asymptotic stability of a system of difference equations

Ibrahim Yalcinkaya Faculty of Education, Department of Mathematics, University of Selcuk, Meram Yeni Yol, Konya, TurkeyCorrespondence[email protected]

Cengiz Cinar Faculty of Education, Department of Mathematics, University of Selcuk, Meram Yeni Yol, Konya, Turkey

Dagistan Simsek Faculty of Education, Department of Mathematics, University of Selcuk, Meram Yeni Yol, Konya, Turkey

Abstract

In this article, a sufficient condition is obtained for the global asymptotic stability of the following system of difference equations

where the parameter a ∈ (0, ∞) and the initial values (z _k, t _k) ∈ (0, ∞) (for k = −1, 0).

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Global asymptotic stability of a system of difference equations

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Global asymptotic stability of a system of difference equations

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