Geodesic
Dependence results on almost periodic and almost automorphic solutions of evolution equations
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: We consider the semilinear evolution equations $x'(t) = A(t) x(t) + f(x(t), u(t),t)$ and $x'(t) = A(t) x(t) + f(x(t), \zeta,t)$ where $A(t)$ is a unbounded linear operator on a Banach space X and f is a nonlinear operator. We study the dependence of solutions x with respect to the function $u$ in three cases: the continuous almost periodic functions, the differentiable almost periodic functions, and the almost automorphic functions. We give results on the continuous dependence and on the differentiable dependence.
Classification : 47J35, 43A60, 47D06
Keywords: semilinear evolution equation, almost periodic function, almost automorphic function, dependence results 
@article{EJDE_2010__2010__a45,
     author = {Blot, Joel and Cieutat, Philippe and N'Guerekata, Gaston M.},
     title = {Dependence results on almost periodic and almost automorphic solutions of evolution equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a45/}
}
TY  - JOUR
AU  - Blot, Joel
AU  - Cieutat, Philippe
AU  - N'Guerekata, Gaston M.
TI  - Dependence results on almost periodic and almost automorphic solutions of evolution equations
JO  - Electronic Journal of Differential Equations
PY  - 2010
VL  - 2010
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a45/
LA  - en
ID  - EJDE_2010__2010__a45
ER  - 
%0 Journal Article
%A Blot, Joel
%A Cieutat, Philippe
%A N'Guerekata, Gaston M.
%T Dependence results on almost periodic and almost automorphic solutions of evolution equations
%J Electronic Journal of Differential Equations
%D 2010
%V 2010
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a45/
%G en
%F EJDE_2010__2010__a45
Blot, Joel; Cieutat, Philippe; N'Guerekata, Gaston M. Dependence results on almost periodic and almost automorphic solutions of evolution equations. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a45/