| Banach空间中二阶常微分方程初值问题解的存在唯一性 |
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| 引用本文： | 洪世煌,胡适耕. Banach空间中二阶常微分方程初值问题解的存在唯一性[J]. 应用数学和力学, 1999, 20(3): 277-285 |
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| 作者姓名： | 洪世煌 胡适耕 |
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| 作者单位： | 1.海南大学理工学院, 海口 570228; |
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| 摘 要： | 用单调迭代方法给出了二阶常微分方程初值问题的解的存在唯一性的结果.
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| 关 键 词： | 序Banach空间 非紧性测度 混合单调算子 |
| 收稿时间： | 1997-10-11 |
Existence and Uniqueness of Solutions for Initial Value Problems of Second Order Ordinary Differential Equations in Banach Space |
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| Hong Shihuang,Hu Shigeng. Existence and Uniqueness of Solutions for Initial Value Problems of Second Order Ordinary Differential Equations in Banach Space[J]. Applied Mathematics and Mechanics, 1999, 20(3): 277-285 |
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| Authors: | Hong Shihuang Hu Shigeng |
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| Affiliation: | 1.Hainan University, Haikou 570228, P. R. China;2.Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China |
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| Abstract: | In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique,some existence and uniqueness theorems for solutions are obtained. |
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| Keywords: | ordered Banach spaces measures of noncompactness mixed monotone operators |
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