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Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
Journal article   Open access  Peer reviewed

Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation

M. M. El-Dessoky, E. M. Elabbasy and Asim Asiri
Discrete Dynamics in Nature and Society, Vol.2018, pp.1-21
01/01/2018
DOI: https://doi.org/10.1155/2018/9129354

Abstract

Article Subject Mathematics
The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. Also, we obtain the solution of some special cases of this equation.
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https://doi.org/10.1155/2018/9129354View
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