| Banach空间一阶常微分方程终值问题解的存在唯一性 |
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| 引用本文： | 汪璇.Banach空间一阶常微分方程终值问题解的存在唯一性[J].西北师范大学学报,2003,39(1):11-15,23. |
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| 作者姓名： | 汪璇 |
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| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州730070 |
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| 摘 要： | 研究了Banach空间一阶非线性常微分方程的终值问题。采用单调迭代方法和适当的迭代程序，在较弱的条件下，获得了解的存在唯一性，改进和推广了已有的一些结果。
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| 关 键 词： | 一阶常微分方程 解 存在唯一性 Banach空间 终值问题 单调迭代方法 非紧性测度 迭代程序 |
| 文章编号： | 1001-988X(2003)01-0011-05 |
Existence and uniqueness of the solution of terminal value problem for first-order ordinary differential equation in Banach space |
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| WANG Xuan.Existence and uniqueness of the solution of terminal value problem for first-order ordinary differential equation in Banach space[J].Journal of Northwest Normal University Natural Science (Bimonthly),2003,39(1):11-15,23. |
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| Authors: | WANG Xuan |
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| Abstract: | The terminal value problem of a nonlinear first order ordinary differential equation is discussed in Banach space.By use of the monotone iterative technique and proper iterative processor,the existence and uniqueness of the solution are obtained,which improves and extends some known results. |
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| Keywords: | Banach space terminal value problem monotone iterative technique noncompact measure |
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