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Solutions of Initial Value Problems for Second Order Impulsive Integro-Diffential Equations in BANACH Spaces
BANACH空间中二阶脉冲积分-微分方程初值问题的解

Keywords: Impulsive integro-differential equation,initial value problem,comparison result,measure of noncompactness,fixed-point
脉冲积分-微分方程
,初值问题,比较结果,非紧性测度,不动点

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Abstract:

Under rather weak conditions,the existence of solutions to initial value problem is studied for the second order impulsive integro-differential equations in Banach spaces.Some existence theorems of solutions are established,and the related results by Guo Dajun are essentially improved.At the same time,one sufficient condition for the existence of minimal and maximal solutions is obtained through the Kuratowski measure of noncompactness.

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