| 两类不动点原理在微分方程解的存在性中的应用 |
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| 引用本文： | 杜珺.两类不动点原理在微分方程解的存在性中的应用[J].淮南师范学院学报,2008,10(3):127-129. |
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| 作者姓名： | 杜珺 |
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| 作者单位： | 淮南师范学院,数学系,安徽,淮南,232001 |
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| 基金项目： | 淮南师范学院青年科研基金计划项目 |
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| 摘 要： | 介绍了常用的Banach压缩映像原理和Schauder不动点定理，重点讨论了它们在微分方程解的存在性定理证明过程中的具体应用，从而阐述了不动点原理的理论价值和应用价值。
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| 关 键 词： | 压缩映射 不动点 解的存在性 |
Applications of two kinds of Fixed Point Theory on existence of differential equation' s solution |
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| DU Jun.Applications of two kinds of Fixed Point Theory on existence of differential equation' s solution[J].Journal of Huainan Teachers College,2008,10(3):127-129. |
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| Authors: | DU Jun |
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| Abstract: | This paper introduced Banach compression mapping theory and Schauder fixed point theory, and focused our attention on the discussion of their concrete applications on proof of existence theory of differential equation's solution. At last this paper elaborated on the theory value of fixed point theories. |
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| Keywords: | compression mapping fixed point existence of solution |
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