Periodic Solution And Almost Periodic Solution For Neutral Functional Differential Equation

Investigating the problem of periodic solution and almost periodic solution for functional differential equations not only has applied value but also enriches the system of functional differential equation. This paper mainly studies the problem of periodic solution and almost periodic solution for neutral functional differential equations, as fallowing:1,I investigate neutral functional differential equations: and establish the sufficient conditions for the existence and uniqueness of the almost periodic solutions of it using the theory of exponential dichotomy and theory of fixed point and consider the global exponential stability for the almost periodic solutions.2,I study impulsive neutral functional differential equations: and obtain the existence and uniqueness of the almost periodic solutions for it using fixed point theory.3,I discuss functional differential equations with arbitrary delay: By using fixed point theory, I research the existence and uniqueness of the almost periodic solutions for it.4,By using the theory of coincidence degree, I establish sufficient conditions for the existence of the periodic solutions of the higher order neutral functional differential equations:...