Open Access

Variationally Asymptotically Stable Difference Systems

Advances in Difference Equations20072007:035378

DOI: 10.1155/2007/35378

Received: 3 January 2007

Accepted: 9 August 2007

Published: 25 October 2007

Abstract

We characterize the h-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n-summable similarity and comparison principle. Furthermore we study the asymptotic equivalence between nonlinear difference systems and their variational difference systems by means of asymptotic equilibria of two systems.

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Authors’ Affiliations

(1)
Department of Mathematics, Chungnam National University
(2)
Department of Mathematics, Hanseo University

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Copyright

© Sung Kyu Choi et al. 2007

This article is published under license to BioMed Central Ltd. 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.