μ Pseudo Rotating-Periodic Solutions For Differential Equations With Exponential Dichotomy

This paper is aimed to combine μ ergodie functions with rotating-period functions.We conclude that a class of new functions is called μ pseudo rotating-period functions.We will introduce the development of ergodic functions and rotating-periodic functions,and studying the fundamental properties of μ pseudo rotating-periodic functions.Finally,using exponential dichotomy and the theory of fixed point,we will study the existence and uniqueness of μ pseudo rotating-periodic solution for linear systems,semi-linear systems,and non-linear systems.