Geodesic
Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation $$ \frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup on a Banach space $X, B$ is a closed linear operator, and $f, g$ are given functions.
Classification : 34K14, 34K30
Keywords: almost periodic, asymptotically almost periodic, semigroup of linear operators 
@article{EJDE_2004__2004__a32,
     author = {Hernandez M., Eduardo and Pelicer, Mauricio L. and Dos Santos, Jos\'e P.C.},
     title = {Asymptotically almost periodic and almost periodic solutions for a class of evolution equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a32/}
}
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Hernandez M., Eduardo; Pelicer, Mauricio L.; Dos Santos, José P.C. Asymptotically almost periodic and almost periodic solutions for a class of evolution equations. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a32/