Submitted:
29 October 2019
Posted:
31 October 2019
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Abstract
In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equations xn+1 =xn-1yn - 1, yn+1 = yn-1xn - 1 n = 0,1,..., where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.
Keywords:
difference equation
; stability
; global stability
; periodicity
; eventually periodicity
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