摘要

This article is mainly concerned with the existence and uniqueness of almost periodic and pseudo almost periodic mild solutions to a class of partial differential equations in Banach spaces. Under some reasonable assumptions, the main results are proved in alpha-norm. Our results cover the cases that the functions F-1; F-2 take values in different spaces such as X, X-alpha, and X-beta, where alpha <= beta is an element of (0; 1).