PSEUDO ALMOST-PERIODIC SOLUTIONS OF SOME DELAY-DIFFERENTIAL EQUATIONS

The purpose of this paper is to show how the decomposition theory of l inear autonomous and pseudo almost periodic systems can be used to obt ain results for ''perturbed'' linear systems with pseudo almost period ic coefficients. This theory together with a natural adaptation of the methods for ordinary differential equations yields the results in an elementary manner. No attempt is made to present the results in the mo st general form since our primary concern is to indicate the variety o f problems to which the methods are applicable. The essential mean use d is the exponential dichotomy method. (C) 1996 Academic Press, Inc.