Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 28, pp. 1-15.

Title: Existence of doubly-weighted pseudo almost periodic
       solutions to non-autonomous differential equations

Author: Toka Diagana (Howard Univ., Washington, DC, USA)

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.