The Almost Periodic Solutions Of Differential Equations And Its Application

This dissertation summarizes the related theories of almost periodic differential equation.which contains three chapters.The background of almost periodic differential equations.some applications and results are given in the chapter oneIn the chapter 2. basic conceptions, theoretical construction, research methods, developmental direction and application backgrounds of almost periodic differential equations are summarized. Also, the typical methods of almost periodic differential equations are introduced.such as the fixed point method, half separation condition method. Lyapunov method.average method, and comparison method. Some applications to ecological mathematical models are given.In the last chapter, the existence and uniqueness of almost periodic solutions for a class of varied delay neutral differential equations are discussed. By using matrix measure theorem and inequality technique, the sufficient conditions of existence, uniqueness and stability for periodic solutions are obtained.