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. Preprints2019, 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
Okumuş, İ.; Soykan, Y. On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers. Preprints2019, 2019060266. https://doi.org/10.20944/preprints201906.0266.v1
APA Style
Okumuş, İ., & Soykan, Y. (2019). On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers. Preprints. https://doi.org/10.20944/preprints201906.0266.v1
Chicago/Turabian Style
Okumuş, İ. and Yüksel Soykan. 2019 "On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers" Preprints. 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.