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Research Article Open access CC BY 4.0

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)}`

Abdualrazaq Sanbo, Elsayed M. Elsayed, Faris Alzahrani

Asian Research Journal of Mathematics · pp. 1–12 · Published 16 Feb 2019

10.9734/arjom/2019/v12i230081

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.

Difference equations Recursive sequences Stability Boundedness.

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