A Spectral Mapping Theorem for Evolution Semigroups on Asymptotically almost Periodic Functions Defined on the Half Line

Files
buse.pdf (231.55 KB)
Date
2002-07-25
Authors
Buse, Constantin
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove that the evolution semigroup on AAP0 (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.
Description
Keywords
Periodic families, Almost periodic functions, Exponential stability
Citation
Buse, C. (2002). A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line. <i>Electronic Journal of Differential Equations, 2002</i>(70), pp. 1-15.
URI
https://hdl.handle.net/10877/12403
Collections
Electronic Journal of Differential Equations