Submitted:
05 October 2020
Posted:
06 October 2020
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Abstract
This paper aims to investigate the global asymptotic stability of following system of higher order difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-m}²)),y_{n+1}=A+B((x_{n})/(x_{n-m}²)) where A and B are positive numbers and the initial values are positive numbers. We also study the rate of convergence and oscillation behaviour of the solutions of related system.
Keywords:
Difference equations
; global asymptotic stability
; boundedness
; rate of convergence
; oscillation
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