English

On the Solutions of Systems of Difference Equations via Tribonacci Numbers

Dynamical Systems 2019-06-25 v1

Abstract

The main objective of this paper is to investigate the explicit form, stability character and global behavior of solutions of the following two systems of rational difference equations x_{n+1}=((+(-)1)/(y_{n}(x_{n-1}+(-)1)+1)), y_{n+1}=((+(-)1)/(x_{n}(y_{n-1}+(-)1)+1)), n=0,1,... such that their solutions are associated with Tribonacci numbers.

Keywords

Cite

@article{arxiv.1906.09987,
  title  = {On the Solutions of Systems of Difference Equations via Tribonacci Numbers},
  author = {İnci Okumuş and Yüksel Soykan},
  journal= {arXiv preprint arXiv:1906.09987},
  year   = {2019}
}