Solutions to the rational difference equation x_{n+1} = γ / (x_n (x_{n-1} + α) + β) are expressed using generalized Tribonacci numbers, with accompanying stability and asymptotic analysis.
Applied Mathematics Letters , 85: 57-63 (2018)
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Explicit forms, stability, and behavior of solutions to two rational difference equation systems are expressed using Tribonacci numbers.
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On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
Solutions to the rational difference equation x_{n+1} = γ / (x_n (x_{n-1} + α) + β) are expressed using generalized Tribonacci numbers, with accompanying stability and asymptotic analysis.
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On the Solutions of Systems of Difference Equations via Tribonacci Numbers
Explicit forms, stability, and behavior of solutions to two rational difference equation systems are expressed using Tribonacci numbers.