Almost Periodic Solutions Of Several Types Of Nonlinear Equations

This paper mainly studies several types differential equations (contains dif-ference equations). By means of different research methods, we can get the u-niqueness and existence of almost periodic solutions for several types differential equations, It is consists of four chapters.In Chapter1, some issues arising from the historical background and main tasks of this article are introduced.In Chapter2, the existence and exponential stability of positive almost pe-riodic solutions for impulsive Shunting Inhibitory Cellular Neural Networks with variable coefficients are discussed. By using the approach based on the estimation of the Cauchy matrix of the corresponding linear impulsive differential equation, and the contraction mapping principe, the uniqueness of almost periodic solution and its exponential stability are proved. Some new results are obtained.In Chapter3, the uniqueness of positive almost periodic solution for dis-crete nonlinear survival Red Blood Cells Model with feedback control is discussed. Based on some analysis methods, we obtain the sufficient conditions of the exis-tence of an unique almost periodic solution is obtained, which are new results.In Chapter4, the existences of some pseudo almost periodic solution to some second-order and third-order differential equation are discussed. By applying the theory of an analytic semigroup and its infinitesimal generator, we study the existence of pseudo almost periodic solution for some second-order and third-order differential equation, and then we study the pseudo almost periodic solution for higher-order differential equation. Some recent results are extend and improved.