| Banach空间中微分方程解的存在性初探 |
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| 引用本文： | 刘永建.Banach空间中微分方程解的存在性初探[J].三门峡职业技术学院学报,2005,4(3):42-43. |
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| 作者姓名： | 刘永建 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476000 |
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| 摘 要： | 通过一个反例,说明了欧氏空间中关于微分方程解的存在性的Peano定理,对Banach空间中微分方程是不成立的.并对Peano定理进行了改进,证明了改进后的结果在Banach空间中是成立的.
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| 关 键 词： | Banach空间 微分方程 解的存在性 讨论 |
| 文章编号： | 1671-9123(2005)03-0042-02 |
| 修稿时间： | 2004年11月20 |
Exploration of Exittance of Solution for Differential Equation in Banach Space |
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| LIU Yong-jian.Exploration of Exittance of Solution for Differential Equation in Banach Space[J].Journal of Sanmenxia Polytechnic,2005,4(3):42-43. |
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| Authors: | LIU Yong-jian |
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| Abstract: | For a counter example, the paper proves the Peano theorem of existence about solution for differential equation in Euclidean space, differential equation is false to Banach space. Therefore the author has done some improvement to Peano theorem, and proved the result after improving is existent in Banach space. |
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| Keywords: | Banach space differential equation existance of solution discussion |
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