About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations-Reference-Cited by-同舟云学术

About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations

Published:2008 Issue: Volume:2008 Page:1-18
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

De la Sen M.¹

Affiliation:

1. Department of Electricity and Electronics, Institute of Research and Development of Processes (IIDP), Faculty of Science and Technology, University of the Basque Country, P.O. Box 644, Leioa, 48080 Bilbao, Spain

Abstract

This paper investigates stability conditions and positivity of the solutions of a coupled set of nonlinear difference equations under very generic conditions of the nonlinear real functions which are assumed to be bounded from below and nondecreasing. Furthermore, they are assumed to be linearly upper bounded for sufficiently large values of their arguments. These hypotheses have been stated in 2007 to study the conditions permanence.

Funder

Ministerio de Ciencia e Innovación

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2008/595367.pdf

Reference18 articles.

1. Permanence for a Generalized Discrete Neural Network System

2. On the difference equation

3. On the Recursive Sequencexn+1=A+xnp/xn−1p

4. Periodically forced Pielou's equation

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