Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
Electronic journal of differential equations, Tome 2011 (2011)
First we show that if the doubly-weighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some non-autonomous abstract differential equations.
Classification : 35B15, 34D09, 58D25, 42A75, 37L05
Keywords: weighted pseudo-almost periodic, doubly-weighted Bohr spectrum, almost periodic, doubly-weighted pseudo-almost periodic
@article{EJDE_2011__2011__a75,
     author = {Diagana,  Toka},
     title = {Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1205.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a75/}
}
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Diagana,  Toka. Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a75/