A solution form of a class of higher-order rational difference equations

We obtain in this paper the expressions of solutions of the following class of difference equations xn+1=xn-2k+1±1±Πi=1kxn-2i+1,n=0,1,2,… with conditions posed on the initial values x−j, j = 0, 1, 2, … , 2k − 1, where k ∈ {1, 2, …}.

Bibliographic Details
Main Authors: A.M. Ahmed, A.M. Youssef
Format: Article
Language:English
Published: SpringerOpen 2013-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X1300045X