In this paper, we use a recent works [5], where the authors provide a new approach for pseudo almost periodic solution under the measure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of µ-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations.
Abstract. 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.
AMS Subject Classifications: 34G20, 34B05, 42A75, 47D06, 35L90Chinese Library Classifications: O175.26
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