Não disponível

The principal objective of this work. is to give conditions such that one can guarantee the existence of almost periodic solution for a system of functional differential equations with time delay. There are two ways of discussing this problem, both of them assuming the existence of bounded solutions for the almost periodic system. One is to assume a separation condition for the bounded solutions and, in this sense, we present generalizations of Favard's [3] and Amerio's L1) results for functional differential equations with time delay. The other one is to assume that the bounded solutions have some kind of stability property (uniform stability, uniform asymptotic stability, total stability, ...). By using Liapunov's theory we analyse the problem above with stronger stability hypothesis. We also discuss the relationship between stability properties and separability properties.