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On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers
Version 1
: Received: 24 June 2019 / Approved: 26 June 2019 / Online: 26 June 2019 (13:39:17 CEST)
How to cite: Okumuş, İ.; Soykan, Y. On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers. Preprints 2019, 2019060266. https://doi.org/10.20944/preprints201906.0266.v1 Okumuş, İ.; Soykan, Y. On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers. Preprints 2019, 2019060266. https://doi.org/10.20944/preprints201906.0266.v1
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
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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