Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 70, pp. 1-11.
Title: A spectral mapping theorem for evolution semigroups on
asymptotically almost periodic functions defined on the
half line
Author: Constantin Buse (West Univ. of Timisoara, Romania)
Abstract:
We prove that the evolution semigroup on $AAP_0(\mathbb{R}_+, X)$
is strongly continuous. Then we prove some properties of the generator
of this evolution semigroup and show some applications in the
theory of inequalities.
Submitted April 02, 2002. Published July 25, 2002.
Math Subject Classifications: 47G10, 47D03, 47A63.
Key Words: periodic families;
almost periodic functions;
exponential stability.