%0 Journal Article
%T THE UNIQUE SOLUTION OF NONLINEAR FIRST ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE IN BANACH SPACE<br>Banach空间混合型一阶脉冲积分-微分方程初值问题的唯一解
%A Fei GUO
%A Li Shan LIU
%A <br>郭飞
%A 刘立山
%J 系统科学与数学
%D 2003
%I 
%X 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.
%K Impulsive equation
%K unique solution
%K Volterra type integral equation
%K com-pactness type condition<br>脉冲方程
%K 唯一解
%K Volterra型积分方程
%K 紧型条件
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=34E6B5F03E050D85&yid=D43C4A19B2EE3C0A&vid=EA389574707BDED3&iid=38B194292C032A66&sid=5957D6E0A50D26B5&eid=EA64BD0B2FF6E786&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=3&reference_num=8