| 抽象空间中二阶三点边值问题正解的存在性 |
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| 引用本文： | 杨义涛,孟凡伟. 抽象空间中二阶三点边值问题正解的存在性[J]. 曲阜师范大学学报, 2009, 35(3): 15-18 |
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| 作者姓名： | 杨义涛 孟凡伟 |
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| 作者单位： | 天津理工大学理学院,300384,天津市;曲阜师范大学大学数学科学学院,273165,山东省曲阜市 |
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| 基金项目： | 国家自然科学基金,山东省教育厅科技计划项目 |
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| 摘 要： | 运用Banach空间中锥上严格集压缩算子不动点定理,讨论了Banach空间中一般二阶微分算子三点边值问题正解的存在性.获得了新的存在性结果.
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| 关 键 词： | Banach空间 正解 不动点定理 非紧性测度 |
Positive Solutions for Three-point Boundary Value Problem of Second-order Differential Equations in Banach Spaces |
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| YAN Yi-tao,MENG Fan-wei. Positive Solutions for Three-point Boundary Value Problem of Second-order Differential Equations in Banach Spaces[J]. Journal of Qufu Normal University(Natural Science), 2009, 35(3): 15-18 |
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| Authors: | YAN Yi-tao MENG Fan-wei |
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| Affiliation: | YAN Yi-tao, MENG Fan-wei ((i)College of Sciences, Tianjin University of Technology, 300384, Tianjin; (2)School of Mathemetical Sciences, Qufu Normal University, 273165, Qufu, PRC ) |
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| Abstract: | In positive solutions this paper, by using the fixed point theory of strict set contraction operator on cone, we study the for three-point boundary value problem of second-order differential equations in Banach spaces. New existence results are obtained. |
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| Keywords: | Banach spaces positive solution fixed point theory measure of noncompactness |
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