Submitted:
23 September 2020
Posted:
25 September 2020
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Abstract
In this paper, we study the global asymptotically stability of following system of difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-1}²)),y_{n+1}=A+B((x_{n})/(x_{n-1}²)) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.
Keywords:
difference equations
; dynamical systems
; global stability
; rate of convergence
; boundedness
; oscillation
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