A Remrk on the Existence of Solutions of Initial Value Problem for First order Nonlinear Impulsive Integro-Differential Equation in Banach Space
关于Banach空间一阶非线性脉冲积分-微分方程初值问题解存在性的注记

Keywords: Impulsive integro-differential equation,initial value problem,measure of noncompactness
脉冲积分-微分方程,初值问题,非紧性测度.,Banach,空间,一阶非线性,脉冲积分,微分方程,初值问题,解存在性,注记,BANACH,SPACE,EQUATION,IMPULSIVE,NONLINEAR,ORDER,INITIAL,VALUE,PROBLEM,结果,改进,存在性定理,题解,条件,比较

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Abstract:

Assume that $m(t)\in CJ_k,{\bf R^+}](k=1,2,\cdots,m)$ and $$m(t)\leq (L_1+L_2t)\int_0^tm(s){\rm d}s+L_3t\int_0^am(s){\rm d}s+\sum\limits_{0

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