Geodesic
Almost periodic solutions of higher order differential equations on Hilbert spaces
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: 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__a155,
     author = {Nguyen Thanh Lan},
     title = {Almost periodic solutions of higher order differential equations on {Hilbert} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a155/}
}
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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__a155/