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Exponential Expansiveness and Complete Admissibility For Evolution Families

Authors:	Mihail Megan Bogdan Sasu Adina Lumini?a Sasu

Institution:	(1) Department of Mathematics, University of the West Timioara, Bul. V. Pârvan 4, 300223 Timioara, România

Abstract:	Connections between uniform exponential expansiveness and complete admissibility of the pair ${\text{(c}}_{\text{0}} {\text{(}}{\mathbb{N}}{\text{,X),c}}_{\text{0}} {\text{(}}{\mathbb{N}}{\text{,X))}}$ are studied. A discrete version for a theorem due to Van Minh, Räbiger and Schnaubelt is presented. Equivalent characterizations of Perron type for uniform exponential expansiveness of evolution families in terms of complete admissibility are given.

Keywords:	evolution family uniform exponential expansiveness complete admissibility
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