Abstract
We study the connections between the uniform exponential dichotomy of a discrete linear skew-product semiflow and the uniform admissibility of the pair $(c_{0}(\n,X),c_{00}(\n, X))$. We give necessary and sufficient conditions for uniform exponential dichotomy of linear skew-product semiflows in terms of the uniform admissibility of the pairs $(c_{0}(\n, X),c_{00}(\n, X))$ and $(C_0(\r, X),$ $C_{00}(\r, X))$, respectively. We generalize a dichotomy theorem due to Van Minh, Räbiger and Schnaubelt for the case of linear skew-product semiflows.
Citation
Mihail Megan. Adina Luminiţa Sasu. Bogdan Sasu. "Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows.." Bull. Belg. Math. Soc. Simon Stevin 10 (1) 1 - 21, January 2003. https://doi.org/10.36045/bbms/1047309409
Information