| 一类二阶常微分方程m点边值问题的解法 |
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| 引用本文： | 李兴昌,赵增勤.一类二阶常微分方程m点边值问题的解法[J].数学物理学报(A辑),2010,30(3):718-729. |
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| 作者姓名： | 李兴昌 赵增勤 |
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| 作者单位： | 曲阜师范大学教学科学学院,山东曲阜,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，高教博士点专项科研基金 |
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| 摘 要： | 该文研究一类二阶常微分方程,给出了所述线性方程在几种m点边界条件下解的存在惟一性及其解的解析表达式,作为应用的例子,作者对一类非线性边值问题给出了正解的迭代求法.
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| 关 键 词： | 二阶微分方程 m 点边值问题 解析表达式 迭代求解 |
| 收稿时间： | 2008-09-08 |
| 修稿时间： | 2009-11-29 |
Solutions of Some m-point Boundary Value Problems for Second-order Differential Equations |
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| LI Xing-Chang,ZHAO Zeng-Qin.Solutions of Some m-point Boundary Value Problems for Second-order Differential Equations[J].Acta Mathematica Scientia,2010,30(3):718-729. |
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| Authors: | LI Xing-Chang ZHAO Zeng-Qin |
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| Institution: | School of Mathematical Sciences, Qufu Normal University, Shandong Qufu |273165 |
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| Abstract: | In this paper, we consider some m-point boundary value problems of second-order differential equations. We give the uniqueness and the exact expressions of the solutions for the linear differential equations with some m-point boundary conditions. As applications, we study the solution by iteration method for some nonlinear singular boundary value problems. |
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| Keywords: | Second-order differential equationzz m-point boundary value problemzz Analytic expressionzz Solution by iteration methodzz |
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