On the global stability of some k-order difference equations

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

References

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