| 一类二阶常微分方程m点边值问题的迭代求解 |
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| 引用本文： | 关永亮.一类二阶常微分方程m点边值问题的迭代求解[J].曲阜师范大学学报,2009,35(4):14-18. |
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| 作者姓名： | 关永亮 |
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| 作者单位： | 曲阜师范大学数学科学学院,山东省曲阜市273165 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 研究了一类二阶非线性微分方程非局部多点边值问题正解的存在性，利用迭代的方法得到方程的正解，并且得到了迭代序列收敛的速度估计．
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| 关 键 词： | 二阶微分方程 m点边值问题 迭代求解 |
Iterative Solutions of Second Order m-Point Boundary Value Problem for Second Order Differential Equations |
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| GUAN Yong-liang.Iterative Solutions of Second Order m-Point Boundary Value Problem for Second Order Differential Equations[J].Journal of Qufu Normal University(Natural Science),2009,35(4):14-18. |
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| Authors: | GUAN Yong-liang |
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| Institution: | GUAN Yong-liang ( School of Mathematical Sciences, Qufu Normal University,273165, Qufu, Shandong, PRC ) |
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| Abstract: | In this paper, a second order m-point boundary value problem for second order differential equations is considered. By using the iteration method,the existence of a positive sloation is given, the rate of convergence is given as well |
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| Keywords: | second order differential equations m-point boundary value problem iteration method |
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