Advances in Difference Equations
Volume 2007 (2007), Article ID 35378, 21 pages
doi:10.1155/2007/35378
Variationally asymptotically stable difference systems
Sung Kyu Choi1
, Yoon Hoe Goo2
and Namjip Koo1
1Department of Mathematics, Chungnam National University, Daejeon 305-764, Korea
2Department of Mathematics, Hanseo University, Seosan, Chungnam 352-820, Korea
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.