Banach 空间中一阶脉冲积分-微分方程初值问题整体解的存在性

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Existence of Global Solutions for Initial Value Problems of First

Order Impulsive Integro-differential Equations in Banach Spaces

Zhang Xinguang; Liu Lishan

School of Mathematical Sciences, Qufu Normal University, Qufu 273165

Received:2005-12-30 Revised:2007-07-14 Online:2008-04-25 Published:2008-04-25
Contact: Zhang Xinguang

Abstract

Abstract: By using generalized Darbo's fixed point theorem step by step, under
weaker conditions, the authors present the existence of global solutions for initial value problems of first order impulsive integro-differential equations in Banach space. The results obtained improve and extend many known results.

Key words: First order nonlinear impulsive equation, Measure of noncompactness, Initial value problem, Global solution, Darbo''s fixed point theorem

CLC Number:

45J05

Zhang Xinguang; Liu Lishan.

Existence of Global Solutions for Initial Value Problems of First

Order Impulsive Integro-differential Equations in Banach Spaces

[J].Acta mathematica scientia,Series A, 2008, 28(2): 383-392.

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Existence of Global Solutions for Initial Value Problems of First

Order Impulsive Integro-differential Equations in Banach Spaces

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