Abstract
In this paper we consider the semilinear differential equation with de- viated argument in a Frechet space x 0 (t) = Ax(t) + f(t,x(t),x(�(x(t),t))), t 2 R, where A is the infinitesimal (bounded) generator of a C0-semigroup satisfying some conditions of exponential stability. Under suitable conditions on the functions f and � we prove the existence and uniqueness of an almost automorphic mild solution to the equation.
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