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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2008-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2008/595367 |
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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 |
work_keys_str_mv |
AT mdelasen aboutthestabilityandpositivityofaclassofdiscretenonlinearsystemsofdifferenceequations |
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