THE UNIQUE SOLUTION OF NONLINEAR FIRST ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE IN BANACH SPACE
Banach空间混合型一阶脉冲积分-微分方程初值问题的唯一解

In this paper, we investigate the unique solution of a kind of nonlinear first order impulsive integro-differential equation of mixed type in Banach space. Without any compactness type assumption, we get the unique solution of the equation, the explicitly iterative approximation of the solution and the error estimate of iterative sequence. The results obtained here improve and extend many known results.