Displaying similar documents to “Translation invariant spaces and asymptotic properties of variational equations.”

Banach function spaces and exponential instability of evolution families

Mihail Megan, Adina Luminiţa Sasu, Bogdan Sasu (2003)

Archivum Mathematicum

Similarity:

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.