Almost Periodicity Of Some Functional Differential And Integral Equations

This thesis is concerned with the existence and the stability of almost periodic solutions to some functional di?erential and integral equations. It is divided into six chapters.In Chapter 1, we present the research backgrounds and the research problems of the thesis.Chapter 2 is preliminaries, including the notes and the properties about almost periodic type functions.In Chapter 3, by applying exponential dichotomy of systems and contraction mapping principle, we discuss the existence and the stability of almost periodic solutions for a class of Nicholson’s blowflies.In Chapter 4, without the global Lipschitz condition of and , the existence and stability of almost periodic solutions for SICNNs with neutral type delays are concerned.In Chapter 5, some properties of equi-asymptotically almost periodic functions are investigated. In addition, we establish an existence theorem for asymptotically almost periodic solutions to a class of functional integral equation.In the final chapter, using the fixed point theorem of the mixed monotone operator, we obtain several existence and uniqueness results about positive almost periodic solutions for a class of the hematopoiesis model.