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

Buse, Constantin2020-08-172020-08-172002-07-25Buse, 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. 1-15.1072-6691https://hdl.handle.net/10877/12403We 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalPeriodic familiesAlmost periodic functionsExponential stabilityA Spectral Mapping Theorem for Evolution Semigroups on Asymptotically almost Periodic Functions Defined on the Half LineArticle