Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations

摘要

In this work,a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given.We showed precisely that such a spectrum 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 classes of non-autonomous partial evolution equations.