This paper firstly discusses the stability of the stationary economic developmental equation whose boundary condition is CES production function by using comparing boundary condition,this equation is distributed parameter system involving non-part condition,and proves the equilibrium solution of the stationary economic developmental equation is global asymptotic stability;then discusses the identification of accumulation rate for the nonstationary economic developmental equation with linear boundary condition , using Banach space theory the existence and uniqueness are obtained for the problem .
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