| Banach空间二阶周期边值问题解的存在性 |
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| 引用本文： | 王澜,刘辉昭. Banach空间二阶周期边值问题解的存在性[J]. 数学的实践与认识, 2009, 39(21) |
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| 作者姓名： | 王澜 刘辉昭 |
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| 作者单位： | 1. 河北经贸大学数学与统计学学院,河北,石家庄,050061
2. 河北工业大学理学院,天津,300130 |
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| 摘 要： | 通过构造格林函数,借助Banach空间中不连续增算子的不动点定理,研究了一类Banach空间中二阶微分方程周期边值问题解的存在性.
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| 关 键 词： | Banach空间微分方程 格林函数 不连续增算子 不动点定理 |
Solutions for Second Order Periodic Boundary Value Problem in Banach Spaces |
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| WANG Lan,LIU Hui-zhao. Solutions for Second Order Periodic Boundary Value Problem in Banach Spaces[J]. Mathematics in Practice and Theory, 2009, 39(21) |
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| Authors: | WANG Lan LIU Hui-zhao |
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| Abstract: | On the basis of the construct of Green's functions and the fixed point theorem for increasing operators without continuity, we are concerned with the existence of solutions for second order periodic boundary value problem in Banach spaces. |
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| Keywords: | differential equations in Banach spaces Green's functions increasing operators without continuity fixed point theorem |
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