(1) Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA
Abstract:
We consider the semilinear differential equation x(t) = Ax(t) + f(t, x(t)),t in a Banach space X, where A is the in.nitesimal generator of anexponentially stable C0-semigroup. Under suitable conditions on f, we provethe existence and uniqueness of an almost automorphic mild solution to theequation.
(t) = Ax(t) + f(t, x(t)),t 
in a Banach space X, where A is the in.nitesimal generator of anexponentially stable C0-semigroup. Under suitable conditions on f, we provethe existence and uniqueness of an almost automorphic mild solution to theequation.