| 二阶积-微分方程两点边值问题的单调迭代法 |
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| 引用本文： | 晏锐. 二阶积-微分方程两点边值问题的单调迭代法[J]. 宁夏大学学报(自然科学版), 2003, 24(4): 313-315 |
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| 作者姓名： | 晏锐 |
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| 作者单位： | 宁夏重工业职工大学,教务处,宁夏,银川,750002 |
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| 摘 要： | 以两端简单支撑的弹性梁的平衡状态为特例,研究了一类二阶Fredholm型积-微分方程两点边值问题最小解和最大解的存在性及求解的单调迭代方法．
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| 关 键 词： | 积-微分方程 四阶微分方程 边值问题 单调迭代方法 |
| 文章编号： | 0253-2328(2003)04-0313-03 |
| 修稿时间： | 2003-08-20 |
On monotone iterative method for the second order two point boundary value problems of integro-differential equations |
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| YAN Rui. On monotone iterative method for the second order two point boundary value problems of integro-differential equations[J]. Journal of Ningxia University(Natural Science Edition), 2003, 24(4): 313-315 |
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| Authors: | YAN Rui |
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| Abstract: | In this paper, we discuss the existence of solution for the second order boundary value problem of integro-differential equations and its applications for fourth-order two-point boundary value problem. We make use of monotone iterative techniques and obtain its extremal solutions under weak conditions and give a corresponding application for fourth-order problems. |
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| Keywords: | integro-differential equations fourth-order differential equations boundary value problems monotone iterative techniques |
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