Variationally Asymptotically Stable Difference Systems
Advances in Difference Equations volume 2007, Article number: 035378 (2007)
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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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