Behavior of some higher order nonlinear rational partial difference equations

In this paper we give the closed form expressions of some higher order nonlinear rational partial difference equations in the form Xn,m=Xn−r,m−rΨ+∏i=1rXn−i,m−i where n,m∈N and the initial values Xn, t, Xt,m−r are real numbers with t∈{0,−1,−2,…,−r+1} such that ∏j=0r−1Xj−r+1,i+j−r+1≠−Ψ and ∏j=0r−1Xi+j...

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Bibliographic Details
Main Author: Tarek F. Ibrahim
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X16300086