Properties Of Solution For A Class Of Nonlinear Investment Developmental Equation With Time Delay

This paper focuses on the study of investment model of Hicks neutral technical progress with time delay. Because the study of economical system with time delay is useful for us to deepen the cognition to economical system,this paper has theorical construction and be useful.This paper firstly gives the investment model of neutral technical progress with time delay. Secondly applying the theory of integral equation and functional analysis, we make the system model of a partial differential equations to be a integral equation. And use the existence and uniqueness of the integral equation,we prove the existence and uniqueness of this investment model.Meanwhile the analytical expression of the solution is got. At last, we discuss the model involving with time delayed CES production function boundary condition. And we prove the stability of the model solution.