Submitted:
24 June 2019
Posted:
26 June 2019
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Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following four rational difference equations x_{n+1} = (1/(x_{n}(x_{n-1}±1)±1)), x_{n+1} = ((-1)/(x_{n}(x_{n-1}±1)∓1)), such that their solutions are associated with Tribonacci numbers.
Keywords:
difference equations
; solution
; equilibrium point
; tribonacci number
; global asymptotic stability
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