| Banach空间二阶微分方程初值问题解的存在唯一性 |
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| 引用本文： | 陈芳启,陈予恕.Banach空间二阶微分方程初值问题解的存在唯一性[J].天津大学学报(自然科学与工程技术版),2000,33(1):77-80. |
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| 作者姓名： | 陈芳启 陈予恕 |
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| 作者单位： | 陈芳启（天津大学机械工程学院，天津 300072）;陈予恕（天津大学机械工程学院，天津 300072） |
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| 摘 要： | 结合单调迭代法方法有Ｍｏｎｃｈ不动点定理给出了Ｂａｎａｃｈ空间二阶微分方程初值问题解的存在唯一性定理，对文献「１」中结果做了本质改进。
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| 关 键 词： | 单调迭代方法 微分方程 初值问题 巴拿赫空间 解 |
| 文章编号： | 0493-2137(2000)01-0077-04 |
| 修稿时间： | 1999-05-30 |
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| CHEN Fang-qi,CHEN Yu-shu.EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Journal of Tianjin University(Science and Technology),2000,33(1):77-80. |
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| Authors: | CHEN Fang-qi CHEN Yu-shu |
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| Institution: | CHEN Fang-qi
,CHEN Yu-shu
;(School of Mechanical Engineering,Tianjin University,Tianjin 300072,China) |
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| Abstract: | The initial value problems of second order differential equations in Banach spaces are discussed.By using the monotone iterative method and Mnch fixed points theorem,some existence and uniqueness theorems of solutions are obtained.which improve the related results in 1]. |
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| Keywords: | monotone iterative method Monch fixed point theorem measures of noncompactness cone and partial ordering |
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