On the global stability of some k-order difference equations

Year 2018, Volume: 1 Issue: 1, 13 - 18, 15.03.2018

Vasile Berinde , Hafiz Fukhar-ud-din , Mădălina Păcurar

Abstract

We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2. In this way, we can study the global stability for more general initial value problems associated with particular forms of difference equations.

Keywords

Difference equation;, Equilibrium point, Global attractor, Global asymptotic stability, Presic fixed point theorem

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