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二阶四点边值问题上下解方法 被引量：1

Second-order four-point boundary value problems with upper and lower solutions
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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. 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.
作者 孙凤文 贾梅 刘锡平 朱卫明 张鲁潮
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2009年第2期117-121,共5页 Journal of University of Shanghai For Science and Technology
基金 上海市教育委员会科研基金资助项目(05EZ52)
关键词 GREEN函数 二阶四点边值问题 上下解 单调迭代方法 Green＇s function second-order four-point boundary problem upper and lower solutions monotone iterative method
分类号 O175.8 [理学—基础数学]
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上海理工大学学报
2009年 第2期

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