| Banach空间二阶常微分方程两点边值问题迭代求解 |
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| 引用本文： | 宋光兴.Banach空间二阶常微分方程两点边值问题迭代求解[J].应用数学,2000,13(2):9-13. |
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| 作者姓名： | 宋光兴 |
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| 作者单位： | 石油大学应用数学系,山东东营,257062 |
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| 摘 要： | 本文利用一些新的微分和积分不等式研究Ｂａｎａｃｈ究竟中二阶常微分方程两点边值问题解的存在唯一性，给出了解的迭代序列和误差估计式。
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| 关 键 词： | 单调迭代 巴拿赫空间 常微分方程 两点边值问题 |
Interative Technique for Two-point Boundary Value Problems of Second Order Ordinary Differential Equations in Banach Spaces |
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| SONG Guang-xing.Interative Technique for Two-point Boundary Value Problems of Second Order Ordinary Differential Equations in Banach Spaces[J].Mathematica Applicata,2000,13(2):9-13. |
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| Authors: | SONG Guang-xing |
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| Abstract: | In
this paper, by use of some new differential and integral inequalities, the unique solution
and approximation of the two-point boundary value problem for second order ordinary
differential equations in Banach spaces are investigated. |
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| Keywords: | Banach space Differential equation Monotone iterative technique |
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