On the global stability of some k-order difference equations

Authors : Vasile BERİNDE, Hafiz FUKHARUDDİN, Mădălina PĂCURAR

Pages : 13-18

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Publication Date : 2018-03-15

Article Type : Research Paper

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