Theorems of Perron type for evolution operators
Mihail Megan, Bogdan Sasu, Adina Luminiţa Sasu · DOAJ (DOAJ: Directory of Open Access Journals) · 2001
The aim of this paper is to give necessary and sufficient conditions for uniform exponential stability of evolution operators in Banach spaces. Thus, there are obtained generalizations of some theorems due to Datko, Neerven, Clark, Latushkin, Montgomery-Smith, Randolph, van Minh, Räbiger and Schnaubelt.