| Banach空间中四阶两点边值问题的上下解方法 |
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| 引用本文： | 胡满峰.Banach空间中四阶两点边值问题的上下解方法[J].江南大学学报(自然科学版),2002,1(4):418-421. |
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| 作者姓名： | 胡满峰 |
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| 作者单位： | 江南大学,理学院,江苏,无锡,214064 |
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| 摘 要： | 采用单调迭代技术，利用上下解方法，在实Banach空间E中研究四阶两点边值问题的解的存在性问题并给出解的存在性定理，同时把这一结果应用于一个具体的无穷四阶微分方程的边值问题，对Ma ru yun的结果作了本质性的改进和推广。
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| 关 键 词： | 四阶两点边值问题 上下解方法 Banach空间 单调迭代技术 |
| 文章编号： | 1671-7147(2002)04-0418-04 |
| 修稿时间： | 2002年4月15日 |
The Method of Low and Upper Solutions for Fourth-Order Two-Point Boundary Value Problems in Banach Spaces |
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| HU Man-feng.The Method of Low and Upper Solutions for Fourth-Order Two-Point Boundary Value Problems in Banach Spaces[J].Journal of Southern Yangtze University:Natural Science Edition,2002,1(4):418-421. |
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| Authors: | HU Man-feng |
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| Abstract: | In this paper, we investigate the existence of solutions of four-order two-point boundary value problems in a Banach space by using technique of monotone iteration and the method of upper and lower solutions. The obtained results are the improvements and extensions of the results of paper. |
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| Keywords: | fourth-order two-point boundary value problem the method of low and upper solutions Ordered Banach space monotone iterative technique |
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