Theoretical and numerical analysis of solutions of some systems of nonlinear difference equations

AIMS Mathematics

article

E. M. Elsayed¹  Q. Din³  N. A. Bukhary¹ 

[1] King Abdulaziz University, Faculty of Science, Mathematics Department;Department of Mathematics, Faculty of Science, Mansoura University;Department of Mathematics, University of Poonch Rawalakot;Mathematics Department, Majmaah University

关键词: difference equations;    periodic solutions;    stability;    recursive sequences;    system of difference equations;   

DOI  :  10.3934/math.2022851

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we obtain the form of the solutions of the following rational systems of difference equations$ \begin{equation*} x_{n+1} = \dfrac{y_{n-1}z_{n}}{z_{n}\pm x_{n-2}}, \;y_{n+1} = \dfrac{z_{n-1}x_{n} }{x_{n}\pm y_{n-2}}, \ z_{n+1} = \dfrac{x_{n-1}y_{n}}{y_{n}\pm z_{n-2}}, \end{equation*} $with initial values are non-zero real numbers.

【 授权许可】

CC BY