Banach空间中一阶非线性脉冲积分-微分方程初值问题解的存在性

于立新;刘立山

系统科学与数学 ›› 2003, Vol. 23 ›› Issue (2) : 257-265.

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系统科学与数学 ›› 2003, Vol. 23 ›› Issue (2) : 257-265. DOI: 10.12341/jssms09704
论文

Banach空间中一阶非线性脉冲积分-微分方程初值问题解的存在性

    于立新,刘立山
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THE EXISTENCE OF SOLUTIONS OF INITIAL VALUE PROBLEMS FOR FIRST ORDER NONLINEAR IMPULSIVE INTEGRO-DIFFERNETIAL EQUATION IN BANACH SPACE

    Li Xin YU,Li Shan LIU
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摘要

利用一个新的比较结果和Monch不动点定理,证明了实Banach空间中一阶非线 性脉冲微分-积分方程初值问题解的存在性定理,对已有的结果作了推广和改进.

Abstract

In this paper, we use a new comparison result and the Monch fixed point theorem to prove some existence theorems of solutions of initial value problem for the first order nonlinear impulsive integro-differential equations in Banach space that improved and generalized the result obtained by others.

关键词

脉冲方程 / 初值问题 / 非紧性测度

Key words

Impulsive equations / initial value problem / measure of noncompactness

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于立新 , 刘立山. Banach空间中一阶非线性脉冲积分-微分方程初值问题解的存在性. 系统科学与数学, 2003, 23(2): 257-265. https://doi.org/10.12341/jssms09704
Li Xin YU , Li Shan LIU. THE EXISTENCE OF SOLUTIONS OF INITIAL VALUE PROBLEMS FOR FIRST ORDER NONLINEAR IMPULSIVE INTEGRO-DIFFERNETIAL EQUATION IN BANACH SPACE. Journal of Systems Science and Mathematical Sciences, 2003, 23(2): 257-265 https://doi.org/10.12341/jssms09704
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