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Variationally Asymptotically Stable Difference Systems

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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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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  • DOI: https://doi.org/10.1155/2007/35378

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation