| Banach值Henstock积分在常微分方程中的应用 |
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| 引用本文： | 孔芳弟,孔绪红. Banach值Henstock积分在常微分方程中的应用[J]. 兰州理工大学学报, 2009, 35(6) |
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| 作者姓名： | 孔芳弟 孔绪红 |
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| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050
2. 兰州商学院,信息工程学院,甘肃,兰州,730020 |
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| 摘 要： | 作为Banach值Henstock积分的应用,研究Banach空间中常微分方程不连续系统解的存在性.通过给出Banach空间中常微分方程不连续系统的广义解,获得有序Banach空间中常微分方程不连续系统广义解的存在性结果.
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| 关 键 词： | Banach空间常微分方程 不连续系统 广义解 |
Application of Henstock integral of Banach-valued functions to ordinary differential equations |
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| KONG Fang-di,KONG Xu-hong. Application of Henstock integral of Banach-valued functions to ordinary differential equations[J]. Journal of Lanzhou University of Technology, 2009, 35(6) |
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| Authors: | KONG Fang-di KONG Xu-hong |
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| Affiliation: | KONG Fang-di1,KONG Xu-hong2(1.School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China,2.School of Information Engineering,Lanzhou Commercial College,Lanzhou 730020,China) |
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| Abstract: | As an application of Henstok integral of Banach-valued functions,the existence of solution to discontinuous system of ordinary differential equations in Banach space was studied.By means of giving generalized solution to discontinuous system of ordinary differential equations in Banach space,the existence of generalized solution to discontinuous system of ordinary differential equations in ordered Banach space was obtained. |
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| Keywords: | ordinary equations in Banach space discontinuous system generalized solution |
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