Abstract

In this paper, the existence and uniqueness of periodic solution of first order impulsive differential equation is investigated on the Banach space PC(J) using the new method of iterative analysis which is introduced by Mengxing He and Anping Liu in the paper[9]. Base on the iterative sequence of the equation, we obtain the existence and uniqueness of periodic solution of first order impulsive differential equation and the norm estimation of the solution on the Banach space PC(J).

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