About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations. (3rd June 2008)

• Record Type: Journal Article
• Authors: De la Sen, M.
• Other Names: Vecchio Antonia Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2008(2008)
• Publication Date: 2008-06-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2008/595367
• Languages: English
• ISSNs: 1026-0226

Abstract

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.