Global Stability of a Rational Difference Equation-Reference-Cited by-同舟云学术

Global Stability of a Rational Difference Equation

Published:2010 Issue: Volume:2010 Page:1-17
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Tang Guo-Mei¹,Hu Lin-Xia²,Ma Gang¹

Affiliation:

1. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, China

2. Department of Mathematics, Tianshui Normal University, Tianshui, Gansu 741001, China

Abstract

We consider the higher-order nonlinear difference equation with the parameters, and the initial conditions are nonnegative real numbers. We investigate the periodic character, invariant intervals, and the global asymptotic stability of all positive solutions of the above-mentioned equation. In particular, our results solve the open problem introduced by Kulenović and Ladas in their monograph (see Kulenović and Ladas, 2002).

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2010/432379.pdf

Reference22 articles.

1. Global asymptotical stability of a second order rational difference equation

2. Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations

3. On the global behavior of a high-order rational difference equation

4. Global attractivity of the equilibrium of for q

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