Geodesic
Almost periodic solutions of higher order differential equations on Hilbert spaces
Electronic journal of differential equations, Tome 2010 (2010)
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 
@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/}
}
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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/