Review

A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers

Volume: 2 Number: 4 December 29, 2019
EN

A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers

Abstract

In this review article, we study the recent investigations on the forms of solutions of systems difference equations and difference equations in terms of well-known integer sequences such as Fibonacci numbers, Padovan numbers. We focus on the papers given some interesting relationships both between the exact solutions of difference equations and the integer sequences and between the equilibrium points of difference equations and the golden ratio.

Keywords

Difference equations,Equilibrium point,Fibonacci number,Solutions,Tribonacci numbers

References

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  4. [4] D.T. Tollu, Y. Yazlik, N. Taskara, The solutions of four Riccati difference equations associated with Fibonacci numbers, Balkan J. Math., 2 (2014), 163-172.
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  10. [10] M. M. El-Dessoky, On the dynamics of higher order difference equations $x_{n+1}=ax_{n}+\frac{\alpha x_{n}x_{n-l}}{\beta x_{n}+\gamma x_{n-k}}$, J. Comput. Anal. Appl., 22(7) (2017), 1309-1322.
APA
Okumuş, İ., & Soykan, Y. (2019). A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers. Communications in Advanced Mathematical Sciences, 2(4), 281-292. https://izlik.org/JA24ZF42MH
AMA
1.Okumuş İ, Soykan Y. A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers. Communications in Advanced Mathematical Sciences. 2019;2(4):281-292. https://izlik.org/JA24ZF42MH
Chicago
Okumuş, İnci, and Yüksel Soykan. 2019. “A Review on the Solutions of Difference Equations via Integer Sequences Such As Fibonacci Numbers and Tribonacci Numbers”. Communications in Advanced Mathematical Sciences 2 (4): 281-92. https://izlik.org/JA24ZF42MH.
EndNote
Okumuş İ, Soykan Y (December 1, 2019) A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers. Communications in Advanced Mathematical Sciences 2 4 281–292.
IEEE
[1]İ. Okumuş and Y. Soykan, “A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers”, Communications in Advanced Mathematical Sciences, vol. 2, no. 4, pp. 281–292, Dec. 2019, [Online]. Available: https://izlik.org/JA24ZF42MH
ISNAD
Okumuş, İnci - Soykan, Yüksel. “A Review on the Solutions of Difference Equations via Integer Sequences Such As Fibonacci Numbers and Tribonacci Numbers”. Communications in Advanced Mathematical Sciences 2/4 (December 1, 2019): 281-292. https://izlik.org/JA24ZF42MH.
JAMA
1.Okumuş İ, Soykan Y. A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers. Communications in Advanced Mathematical Sciences. 2019;2:281–292.
MLA
Okumuş, İnci, and Yüksel Soykan. “A Review on the Solutions of Difference Equations via Integer Sequences Such As Fibonacci Numbers and Tribonacci Numbers”. Communications in Advanced Mathematical Sciences, vol. 2, no. 4, Dec. 2019, pp. 281-92, https://izlik.org/JA24ZF42MH.
Vancouver
1.İnci Okumuş, Yüksel Soykan. A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers. Communications in Advanced Mathematical Sciences [Internet]. 2019 Dec. 1;2(4):281-92. Available from: https://izlik.org/JA24ZF42MH