Toka Diagana
Abstract:
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 2441 6th Street NW, Washington, DC 20059, USA email: tdiagana@howard.edu |
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