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Variationally Asymptotically Stable Difference Systems

Advances in Difference Equations volume 2007, Article number: 035378 (2007) Cite this article

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 and Affiliations

  1. Department of Mathematics, Chungnam National University, Daejeon, 305-764, Korea

    Sung Kyu Choi & Namjip Koo

  2. Department of Mathematics, Hanseo University, Seosan, Chungnam, 352-820, Korea

    Yoon Hoe Goo

Authors
  1. Sung Kyu Choi
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  2. Yoon Hoe Goo
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  3. Namjip Koo
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Correspondence to Sung Kyu Choi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Choi, S.K., Goo, Y.H. & Koo, N. Variationally Asymptotically Stable Difference Systems. Adv Differ Equ 2007, 035378 (2007). https://doi.org/10.1155/2007/35378

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