Analytical and Solutions of Fourth Order Difference Equations

Authors : Marwa M ALZUBAİDİ, Elsayed M ELSAYED

Pages : 9-21

Doi:10.33434/cams.447757

View : 35 | Download : 9

Publication Date : 2019-03-22

Article Type : Research Paper

Abstract :In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}insert ignore into journalissuearticles values(\pm1\pm x_{n-2}x_{n-3});}, \] 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.
Keywords : Stability, Global attractor, Difference equation, Linearized stability, Periodicity

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