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The main objective of this paper is twofold. We first show that if thedoubly-weighted Bohr spectrum of an almost periodic function exists, then it iseither empty or coincides with the Bohr spectrum of that function. Next, weinvestigate the problem which consists of the existence of doubly-weightedpseudo-almost periodic solutions to some nonautonomous abstract differentialequations.

Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations