The Application Of Fixed Point Theory On The Existence And Stability Of Periodic Solutions For Functional Differential Equations

Periodic movement is very universal in nature. The investigation of the existence and stability ofperiodic solution of a functional differential equation is of great meaning. This dissertation, consistingof three chapters, intends to describe the existence of periodic solutions of a kind of neutral functionaldifferential equation and the stability of periodic solutions of several kinds of functional differentialequations.Chapter 1 is a brief introduction to the historical background and the significance of this re-search.Chapter 2 is devoted to study the existence and stability of a neutral functional differentialequationwhich comes from the transmission line theory. We give an effective method to determine whetherthere is a stable periodic oscillation along transmission lines.Chapter 3 is a study of the stability of the zero solution of three kinds of functional differentialequationsWe generalize and improve previous results of 23?stability problem.