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Global asymptotic stability of inhomogeneous iterates

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  • Yong-Zhuo Chen

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.

Suggested Citation

  • Yong-Zhuo Chen, 2002. "Global asymptotic stability of inhomogeneous iterates," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:513109
    DOI: 10.1155/S0161171202011316
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