| Banac空间不连续非增Volterra型积分方程的迭代唯一解 |
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| 引用本文： | 刘立山. Banac空间不连续非增Volterra型积分方程的迭代唯一解[J]. 应用泛函分析学报, 2001, 3(3): 271-277 |
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| 作者姓名： | 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);山东省自然科学基金(Y98A09012) |
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| 摘 要： | 在非常弱的条件下研究了一般序Banach空间不连续非增Volterra型积分方程的迭代唯一解，并给出了一致收敛于唯一解迭代序列的误差估计式，然后应用到序Banach空间中一阶微分方程的初值问题，本质改进并推广了最近的一些结果。
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| 关 键 词： | 序Banach空间 不连续非增Volterra型积分方程 迭代唯一解 一致收敛 常微分方程 误差估计式 初值问题 |
| 文章编号： | 1009-1327(2001)03-0271-07 |
| 修稿时间： | 2001-02-08 |
The Iterative Unique Solution for Discontinuous Nonmonotone Volterra Type Integral Equations in Banach Spaces |
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| LIU Li-shan. The Iterative Unique Solution for Discontinuous Nonmonotone Volterra Type Integral Equations in Banach Spaces[J]. Acta Analysis Functionalis Applicata, 2001, 3(3): 271-277 |
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| Authors: | LIU Li-shan |
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| Affiliation: | LIU Li-shan Department of Mathematics,Qufu Normal University,Qufu Shandong 273165,China |
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| Abstract: | In this paper, the iterative unique solution of the discontinuous nonmonotone Volterra type integral equations in ordered Banach spaces are investigated under very weakly conditions. The error estimate of the iterative sequences of approximation solutions is given and by using this result the initial value problem of first order ordinary differential equations is discussed. The results obtained here improve and extend recent results. |
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| Keywords: | Ordered Banach space discontinuous nonmonotone Volterra type integral equation iterative unique solution |
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