Geodesic
Almost periodic solutions of higher order differential equations on Hilbert spaces
Electronic journal of differential equations, Tome 2010 (2010)
Zbl   EuDML
We find necessary and sufficient conditions for the differential equation

$ u^{(n)}(t) = Au(t)+f(t), \quad t\in \mathbb{R} $

to have a unique almost periodic solution. Some applications are also given.
Classification : 34G10, 34K06, 47D06
Keywords: almost periodic, higher order differential equations 
Nguyen Thanh Lan. Almost periodic solutions of higher order differential equations on Hilbert spaces. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a255/
@article{EJDE_2010__2010__a255,
     author = {Nguyen Thanh Lan},
     title = {Almost periodic solutions of higher order differential equations on {Hilbert} spaces},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1201.34066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a255/}
}
TY  - JOUR
AU  - Nguyen Thanh Lan
TI  - Almost periodic solutions of higher order differential equations on Hilbert spaces
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a255/
LA  - en
ID  - EJDE_2010__2010__a255
ER  - 
%0 Journal Article
%A Nguyen Thanh Lan
%T Almost periodic solutions of higher order differential equations on Hilbert spaces
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a255/
%G en
%F EJDE_2010__2010__a255