On the Dynamics of a Higher-Order Rational Difference Equation-Reference-Cited by-同舟云学术

On the Dynamics of a Higher-Order Rational Difference Equation

Published:2011 Issue: Volume:2011 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ahmed A. M.¹

Affiliation:

1. Department of Natural Sciences, Arriyadh Community College, King Saud University, Malaz, P.O. Box 28095, Riyadh 11437, Saudi Arabia

Abstract

The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equationxn+1=αxn-1/(β+γΠi=lkxn-2ipi), n=0,1,2,…, where the parametersα,β,γ,pl,pl+1,…,pkare nonnegative real numbers, andl,kare nonnegative integers such thatl≤k.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/419789.pdf

Reference15 articles.

1. On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )

2. On the Recursive Sequencexn+1=α+xn−1/xn

3. The dynamics of the recursive sequence xn+1=αxn−1β+γxn−2p

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