Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 595367, 18 pages
doi:10.1155/2008/595367
Research Article
About the Stability and Positivity of a Class of Discrete
Nonlinear Systems of Difference Equations
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
Received 16 January 2008; Accepted 26 May 2008
Academic Editor: Antonia Vecchio
Copyright © 2008 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.