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: Wiley 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/595367
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author M. De la Sen
author_facet M. De la Sen
author_sort M. De la Sen
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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.
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spelling doaj-art-d0fb75e363ea45cbb7c4ca6b360d2b272025-02-03T05:54:03ZengWileyDiscrete 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
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
title 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_short 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
url http://dx.doi.org/10.1155/2008/595367
work_keys_str_mv AT mdelasen aboutthestabilityandpositivityofaclassofdiscretenonlinearsystemsofdifferenceequations