Geodesic
A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line
Electronic journal of differential equations, Tome 2002 (2002)
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.
Classification : 47G10, 47D03, 47A63
Keywords: periodic families, almost periodic functions, exponential stability 
@article{EJDE_2002__2002__a34,
     author = {Bu\c{s}e,  Constantin},
     title = {A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1010.47027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a34/}
}
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%0 Journal Article
%A Buşe,  Constantin
%T A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line
%J Electronic journal of differential equations
%D 2002
%V 2002
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Buşe,  Constantin. A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a34/