| Banach空间非线性脉冲Volterra型积分方程整体解的存在性定理及应用 |
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| 引用本文： | 路慧芹,刘立山.Banach空间非线性脉冲Volterra型积分方程整体解的存在性定理及应用[J].数学物理学报(A辑),2000,20(1):101-108. |
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| 作者姓名： | 路慧芹 刘立山 |
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| 作者单位： | 曲阜师范大学数学系!山东曲阜273165 |
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| 基金项目： | 国家自然科学基金（19871048）和山东省自然科学基金（Y97A12017）资助项目 |
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| 摘 要： | 利用一个新的比较结果和Ｍｏｎｅｃｈ不动点定理证明了Ｂａｎａｃｈ空间中非线性脉冲Ｖｏｌｔｅｒｒａ型积分方程整体解的存在性定理，并给出了对Ｂａｎａｃｈ空间中一阶脉冲微分方程初值问题的应用，改进了文（１－３）中的主要结果。
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| 关 键 词： | 脉冲Volterra型积分方程 存在性 整体解 |
| 修稿时间： | 1999-05-25 |
Existence Theorems of Solutions for Nonlinear Impulsive Volterra Integral Equations in Banach Spaces and Applications |
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| Lu Huiqin,Liu Lishan.Existence Theorems of Solutions for Nonlinear Impulsive Volterra Integral Equations in Banach Spaces and Applications[J].Acta Mathematica Scientia,2000,20(1):101-108. |
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| Authors: | Lu Huiqin Liu Lishan |
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| Abstract: | In this paper, we use a new comparison result and the Monch fixed-point theorem to prove some existence theorems of global solutions for the nonlinear impulsiveVolterra integral equations in Banach spaces that improve the results in 1 - 3]. Then, wegive some applications to initial value problems for first order impulsive differential equations in Banach spaces. |
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| Keywords: | Ordered Banach spaces Measure of noncompactness Impulsive Volterra integral equation Cone and partial ordering |
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