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.
Submitted December 22, 2010. Published February 15, 2011.
Math Subject Classifications: 35B15, 34D09, 58D25, 42A75, 37L05.
Key Words: Weighted pseudo-almost periodic; doubly-weighted Bohr spectrum; almost periodic; doubly-weighted pseudo-almost periodic.
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| Toka Diagana |
Department of Mathematics, Howard University
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