Analytical Study of the Difference Equation `x_{n+1}=\dfrac{x_{n} x_{n-6}}{x_{n-5}\left(\pm 1 - x_nx_{n-6}\right)}`

Main Article Content

Abdualrazaq Sanbo
Elsayed M. Elsayed
Faris Alzahrani

Abstract

This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.

Keywords:
Difference equations, Recursive sequences, Stability, Boundedness.

Article Details

How to Cite
Sanbo, A., Elsayed, E. M., & Alzahrani, F. (2019). Analytical Study of the Difference Equation `x_{n+1}=\dfrac{x_{n} x_{n-6}}{x_{n-5}\left(\pm 1 - x_nx_{n-6}\right)}`. Asian Research Journal of Mathematics, 12(2), 1-12. https://doi.org/10.9734/arjom/2019/v12i230081
Section
Original Research Article