| 一类p-Laplacian多点边值问题单调迭代正解的存在性 |
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| 引用本文： | 赵东霞,;王宏洲.一类p-Laplacian多点边值问题单调迭代正解的存在性[J].山东大学学报(自然科学版),2009(5):81-85. |
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| 作者姓名： | 赵东霞 ;王宏洲 |
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| 作者单位： | [1]中北大学理学院数学系,山西太原030051; [2]北京理工大学理学院数学系,北京100081 |
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| 基金项目： | 山西省青年基金资助项目（2009021001-2） |
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| 摘 要： | 利用单调迭代方法获得了一类p-Laplacian多点边值问题的正解迭代程序，这些迭代程序是从常值或者一次函数开始，是可行且有效的。举例证实了本文理论的严密性和可行性。
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| 关 键 词： | p-Laplacian 多点边值问题 单调迭代方法 锥 |
Existence and iteration of monotone positive solutions to a class of p-Laplacian muhipoint boundary value problem |
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| Institution: | ZHAO Dong-xia, WANG Hong-zhou (1. School of Science, North University of China, Taiyuan 030051, Shanxi, China; 2. School of Science, Beijing Institute of Technology, Beijing 100081, China) |
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| Abstract: | A class of p-Laplacian multipoint boundary value problem is studied. By using monotone iterative technique, we obtain the existence of monotone positive solutions for the boundary value problem and establish corresponding iterative schemes which are feasible and effective since they are started by constants or lineral functions. We also apply the results to a detailed example which validates our results. |
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| Keywords: | p-Laplacian multipoint boundary value problem monotone iterative technique cone |
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