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

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 upp...

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Main Author: M. De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/595367
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spelling doaj-d0fb75e363ea45cbb7c4ca6b360d2b272020-11-24T21:27:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/595367595367About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference EquationsM. De la Sen0Department 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, SpainThis 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.http://dx.doi.org/10.1155/2008/595367
collection DOAJ
language English
format Article
sources DOAJ
author M. De la Sen
spellingShingle M. De la Sen
About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
Discrete Dynamics in Nature and Society
author_facet M. De la Sen
author_sort M. De la Sen
title About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
title_short About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
title_full About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
title_fullStr About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
title_full_unstemmed About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations
title_sort about the stability and positivity of a class of discrete nonlinear systems of difference equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2008-01-01
description 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.
url http://dx.doi.org/10.1155/2008/595367
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