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  • Research Article
  • Open Access

Variationally Asymptotically Stable Difference Systems

Advances in Difference Equations20072007:035378

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

  • Received: 3 January 2007
  • Accepted: 9 August 2007
  • Published:

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.

Keywords

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

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Authors’ Affiliations

(1)
Department of Mathematics, Chungnam National University, Daejeon, 305-764, Korea
(2)
Department of Mathematics, Hanseo University, Seosan, Chungnam, 352-820, Korea

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