Submitted:
20 November 2020
Posted:
23 November 2020
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Abstract
In this paper, we investigate the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n})/(x_{n-m}²)) with A,B and initial conditions are positive numbers, and m∈{2,3,⋯}. Especially we study the boundedness, periodicity, semi-cycles, global asymptotically stability and rate of convergence of solutions of related higher order difference equations.
Keywords:
difference equations
; global stability
; rate of convergence
; boundedness
; periodicity
; semicycle
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