| 二阶四点边值问题上下解方法 |
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| 引用本文： | 孙凤文,贾梅,刘锡平,朱卫明,张鲁潮.二阶四点边值问题上下解方法[J].上海理工大学学报,2009,31(2). |
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| 作者姓名： | 孙凤文 贾梅 刘锡平 朱卫明 张鲁潮 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市教育委员会科研项目 |
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| 摘 要： | 研究了一类二阶非线性常微分方程四点边值问题解的存在性与唯一性,利用上下解和单调迭代方法得到了解的存在和唯一的充分条件,并给出了求解的单调迭代序列和误差估计公式.
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| 关 键 词： | Green函数 二阶四点边值问题 上下解 单调迭代方法 |
Second-order four-point boundary value problems with upper and lower solutions |
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| SUN Feng-wen,JIA Mei,LIU Xi-ping,ZHU Wei-ming,ZHANG Lu-chao.Second-order four-point boundary value problems with upper and lower solutions[J].Journal of University of Shanghai For Science and Technology,2009,31(2). |
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| Authors: | SUN Feng-wen JIA Mei LIU Xi-ping ZHU Wei-ming ZHANG Lu-chao |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The existence and uniqueness of solutions of second-order four-point boundary value problems with lower and upper solutions were studied.The sufficient conditions for existence and uniqueness of solutions were obtained by use of the monotone interative method,and the iterative sequence for solving a solution and its error estimation formula under the condition of unique solution were provided. |
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| Keywords: | Green's function second-order four-point boundary problem upper and lower solutions monotone iterative method |
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