| Banach空间中二阶周期边值问题的解 |
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| 引用本文： | 伊继金. Banach空间中二阶周期边值问题的解[J]. 工程数学学报, 2006, 23(6): 1105-1108 |
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| 作者姓名： | 伊继金 |
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| 作者单位： | 南开大学数学科学学院,天津,300071 |
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| 摘 要： | 本文研究Banach空间中弱拓扑下二阶周期边值问题的解。在上解小于等于下解的假设条件下证明了二阶周期边值问题解的存在性。
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| 关 键 词： | 单调迭代 半序 上下解 正规锥 弱收敛 |
| 文章编号： | 1005-3085(2006)06-1105-04 |
| 收稿时间： | 2004-11-26 |
| 修稿时间： | 2004-11-26 |
Solutions of the Second Order Periodic Boundary Value Problem in a Banach Space |
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| YI Ji-jin. Solutions of the Second Order Periodic Boundary Value Problem in a Banach Space[J]. Chinese Journal of Engineering Mathematics, 2006, 23(6): 1105-1108 |
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| Authors: | YI Ji-jin |
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| Affiliation: | School of Mathematical Sciences, Nankai University, Tianjin 300071 |
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| Abstract: | We studied the solutions of the periodic boundary value problem in a Banach space under the weak topology,and obtained the existence of solutions. |
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| Keywords: | monotone iterative technique partial ordering upper and lower solutions normal cone weak convergence |
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