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The form of solutions and periodicity for some systems of third‐order rational difference equations
Author(s) -
ElDessoky Mohamed M.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3547
Subject(s) - mathematics , character (mathematics) , order (exchange) , third order , pure mathematics , mathematical analysis , geometry , law , finance , political science , economics
In this paper, we deal with the system that has solutions and the periodicity character of the following systems of rational difference equations with order threex n + 1 =y n − 1y n − 2x n± 1 ± y n − 1y n − 2,y n + 1 =x n − 1x n − 2y n± 1 ± x n − 1x n − 2,with initial conditions x −2 , x −1 , x 0 , y −2 , y −1 , and y 0 that are arbitrary nonzero real numbers. Some numerical examples will be given to illustrate our results. Copyright © 2015 John Wiley & Sons, Ltd.