A Spectral Theory of Non-Uniformly Continuous Functions and the Loomis-Arendt-Batty-Vu Theory on the Asymptotic Behavior of Solutions of Evolution Equations

Abstract

In this paper we present a new approach to the spectral theory of {\it non-uniformly continuous} functions and a new framework for the Loomis-Arendt-Batty-Vu theory. Our approach is direct and free of $C_0$-semigroups, so the obtained results, that extend previous ones, can be applied to large classes of evolution equations and their solutions.

23 pages

References in corpus (1)

• Circular spectrum and bounded solutions of periodic evolution equations