| Banach空间中高阶常微分方程周期边值问题的解的存在性 |
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| 引用本文： | 洪世煌,欧宜贵.Banach空间中高阶常微分方程周期边值问题的解的存在性[J].海南大学学报(自然科学版),1998,16(2):104-109. |
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| 作者姓名： | 洪世煌 欧宜贵 |
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| 作者单位： | 海南大学理工学院 |
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| 摘 要： | 利用单调迭代方法，获得了弱序列完备的Ｂａｎａｃｈ空间中的ｎ阶常微分方程的周期边值问题解的存在性。本文推广了文献［３］中的主要结果。
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| 关 键 词： | 单调迭代算子 不动点 最大最小解 |
Existence of Solutions for the Periodic Boundary Value Problems of High Order Ordinary Differential Equations in Banach Spaces |
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| Hong Shihuang, Ou Yigui.Existence of Solutions for the Periodic Boundary Value Problems of High Order Ordinary Differential Equations in Banach Spaces[J].Natural Science Journal of Hainan University,1998,16(2):104-109. |
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| Authors: | Hong Shihuang Ou Yigui |
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| Abstract: | By using the monotone iterative method, it is obtained that the existence of solutions for peri- odic boundary value problems of the nth order ordinary differential equations in Banach spaces. The main results of reference 3] is extended in this paper. |
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| Keywords: | monotone iterative operators fixed points maximum and minimum solutions |
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