Functional Differential Equations: Existence, Uniqueness and Almost Periodicity

In recent years the theory of almost periodic equations has been developed in connection with problems of differential equations, stability theory, dynamical systems and so on. The circle of applications of the theory has been appreciably extended, and includes not only ordinary differential equations and classical dynamical systems, but wide class of partial differential equation and equations in Banach spaces also. In this work we analyzed the almost periodic solutions for different kind of nonlinear functional differential equations. More precisely, the existence and uniqueness theorems for the considered problems have been established. We use the theory of semigroups, monotone operators and fixed point tools to prove the results.