Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
Electronic journal of differential equations, Tome 2004 (2004)
In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation
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.
| $ \frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $ |
Classification :
34K14, 34K30
Keywords: almost periodic, asymptotically almost periodic, semigroup of linear operators
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},
year = {2004},
volume = {2004},
zbl = {1069.34083},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a32/}
}
TY - JOUR AU - Hernandez M., Eduardo AU - Pelicer, Mauricio L. AU - Dos Santos, José P.C. TI - Asymptotically almost periodic and almost periodic solutions for a class of evolution equations JO - Electronic journal of differential equations PY - 2004 VL - 2004 UR - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a32/ LA - en ID - EJDE_2004__2004__a32 ER -
%0 Journal Article %A Hernandez M., Eduardo %A Pelicer, Mauricio L. %A Dos Santos, José P.C. %T Asymptotically almost periodic and almost periodic solutions for a class of evolution equations %J Electronic journal of differential equations %D 2004 %V 2004 %U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a32/ %G en %F EJDE_2004__2004__a32
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/