Global Attractor For A Class Of Nerve Conduction Equation

In this paper,a class of Nerve Conduction equation is proposed,in which case we study the various properties of equation solutions by analyzing the structure and characteristics of the equation itself,proving the uniqueness of the existence of the global solution of the Nerve Conduction equation under the initial value conditions and the boundary conditions,and the existence of the overall attraction of the generated operator half group under the premise of the solution.The full text structure is as follows:The first chapter briefly describes the development process and research status of neural propagation equations at home and abroad,and gives the main work and research results of this paper.The second chapter:the basic definitions,theorems and theorizations involved in this paper,as well as the inequalities used in the derivation process,are listed.The third chapter:the existence and uniqueness of global solution for a class of neural propagating equations are proved by using Galerkin method and Sobolev space correlation theory.In the fourth chapter:A class of Nerve Conduction equation of the global attractor is studied.On the basis of the uniqueness of the existence of the solution,the existence of the global attractor is proved by means of semi-group decomposition.The fifth chapter:The full text is summarized,and further,on the basis of the research of this paper,thinking about whether there are any related issues can continue to study in depth.