The Periodicity of Positive Solutions of the Nonlinear Difference Equation xn+1=α+(xn−kp)/(xnq)

The Periodicity of Positive Solutions of the Nonlinear Difference Equation xn+1=α+(xn−kp)/(xnq)

We give a remark about the periodic character of positive solutions of the difference equation xn+1=α+xn−kp/xnq, n=0,1,…, where k>1 is an odd integer, α,p, q∈(0,∞), and the initial conditions x−k,…,x0 are arbitrary positive numbers.

Bibliographic Details
Main Author:	Mehmet Gümüş
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2013/742912

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