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Solution form of a higher‐order system of difference equations and dynamical behavior of its special case
Authors:Nabila Haddad  Nouressadat Touafek  Julius Fergy T. Rabago
Affiliation:1. LMAM Laboratory, Department of Mathematics, Mohamed Seddik Ben Yahia University, Algeria;2. Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio, Baguio City, Philippines
Abstract:The solution form of the system of nonlinear difference equations urn:x-wiley:mma:media:mma4248:mma4248-math-0001 where the coefficients a ,b ,α ,β and the initial values x  ? i ,y  ? i ,i ∈{0,1,…,k } are non‐zero real numbers, is obtained. Furthermore, the behavior of solutions of the aforementioned system when p  = 1 is examined. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:difference equations  system of difference equations  solution form  boundedness  limiting properties  periodicity
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