Global asymptotic stability of inhomogeneous iterates

Yong-Zhuo Chen

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-10

Abstract:

Let ( M , d ) be a finite-dimensional complete metric space, and { T n } a sequence of uniformly convergent operators on M . We study the non-autonomous discrete dynamical system x n + 1 = T n x n and the globally asymptotic stability of the inhomogeneous iterates of { T n } . Then we apply the results to investigate the stability of equilibrium of T when it satisfies certain type of sublinear conditions with respect to the partial order defined by a closed convex cone. The examples of application to nonlinear difference equations are also given.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:513109

DOI: 10.1155/S0161171202011316

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