The Dynamic Research For Two Different Classes Of Neural Networks With Leakage Delays And D Operator

In recent years,the dynamic behaviors for different classes of neural networks with leakage delays or D operator were studied.the authors derived some sufficient conditions for dynamical behaviors of equilibrium points of neural networks with delays in leak-age terms.and the authors derived some sufficient conditions for dynamical behaviors of equilibrium points of neural networks with D operator.But,to the best,of our knowl-edge,there is no paper gained sufficient attention in the context of dynamics analysis for neutral type neural networks with leakage delays and D operator.In this paper,based on the exponential dichotomy of linear dynamic equations,Lyapunov functional method,Banach's fixed point theorem and differential inequality techniques,some sufficient condi-tions are obtained for the existence and exponential stability of almost,periodic solutions and pseudo almost,periodic solutions for this class of neural networks.We mainly studied the existence and exponential stability of almost periodic solutions and pseudo almost periodic solutions of two classes of neural networks with leakage delays and D operator,where,in the second chapter,we considered the existence and exponential stability of almost periodic solutions of the differential equations In the third chapter,we considered the existence and exponential stability of pseudo almost periodic solutions of the differential equationsThese are two kinds of neural networks with leakage delays and D operator.Based on the exponential dichotomy of linear dynamic equations,Lyapunov functional method,Banach's fixed point theorem and differential inequality techniques,some sufficient condi-tions are obtained for the existence and exponential stability of almost periodic solutions and pseudo almost periodic solutions for two class of neural networks respectively through strict proof.