Analytical and Solutions of Fourth Order Difference Equations

Abstract

In this article, we presented the solutions of the following recursive sequences x n+1 = x n−2 x n−3 x n (±1 ± x n−2 x n−3) , where the initial conditions x −3 , x −2 , x −1 and x 0 are arbitrary real numbers. Also, we studied some dynamic behavior of these equations.

On a solvable system of difference equations of sixth-order

“…In addition, he investigated some properties for difference equation (1.3) such as the local stability and the boundedness for the solutions. Alzubaidi et al [5] presented the solutions of the following recursive sequences…”