Preprint Article Version 1 This version is not peer-reviewed

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 (doi: 10.20944/preprints201906.0266.v1). Okumuş, İ.; Soykan, Y. On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers. Preprints 2019, 2019060266 (doi: 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.

Subject Areas

difference equations, solution, equilibrium point, tribonacci number, global asymptotic stability

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