Asymptotic Stability for a Class of Nonlinear Difference Equations-Reference-Cited by-同舟云学术

Asymptotic Stability for a Class of Nonlinear Difference Equations

Published:2010 Issue: Volume:2010 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Wang Chang-you¹²³,Wang Shu³,Wang Zhi-wei⁴,Gong Fei²⁵,Wang Rui-fang²⁵

Affiliation:

1. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

2. Key Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China

3. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

4. School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

5. College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Abstract

We study the global asymptotic stability of the equilibrium point for the fractional difference equationxn+1=(axn-lxn-k)/(α+bxn-s+cxn-t),n=0,1,…, where the initial conditionsx-r,x-r+1,…,x1,x0are arbitrary positive real numbers of the interval(0,α/2a),l,k,s,tare nonnegative integers,r=max⁡⁡{l,k,s,t}andα,a,b,care positive constants. Moreover, some numerical simulations are given to illustrate our results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2010/791610.pdf

Reference22 articles.

1. On a Class of Difference Equations with Strong Negative Feedback

2. On the recursive sequence xn+1=(α+βxn)/(Bxn+Cxn−1)

3. Stability properties of nonlinear difference equations and conditions for boundedness

4. A rational difference equation

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