Department of Mathematics,
Faculty of Mathematics and Computer Science
West University of Timisoara
Bul. V. Parvan, Nr. 4, 1900 - Timisoara, Romania
E-mail: email@example.com firstname.lastname@example.org
In this paper we give necessary and sufficient conditions for
uniform exponential instability of evolution families in Banach
spaces, in terms of Banach function spaces.
Versions of some well-known theorems due to Datko,
Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform
exponential instability of evolution families.
AMSclassification. 34E05, 34D05
Keywords. Evolution family, uniform exponential instability,
Banach function spaces.