| 微分方程非线性边值问题的单调迭代方法 |
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| 引用本文： | 魏兰阁,田淑环,王淑燕,周和月.微分方程非线性边值问题的单调迭代方法[J].数学的实践与认识,2012,42(10):244-250. |
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| 作者姓名： | 魏兰阁 田淑环 王淑燕 周和月 |
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| 作者单位： | 保定学院数学与计算机系,河北保定,071000 |
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| 摘 要： | 讨论了一类微分方程的非线性边值问题,通过引入两个单调函数和的形式,并借助耦合上下解的方法给出了一类微分方程边值问题的广义单调迭代方法.
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| 关 键 词： | 上下解 单调迭代 非线性边值问题 |
Monotone Iterative Method for Differential Equations with Nonlinear Boundary Value Conditions |
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| WEI Lan-ge
,
TIAN Shu-huan
,
WANG Shu-yan
,
ZHOU He-yue.Monotone Iterative Method for Differential Equations with Nonlinear Boundary Value Conditions[J].Mathematics in Practice and Theory,2012,42(10):244-250. |
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| Authors: | WEI Lan-ge TIAN Shu-huan WANG Shu-yan ZHOU He-yue |
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| Institution: | (Baoding University,Department of Mathematics and Computer Science,Baoding 071000,China) |
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| Abstract: | In this paper we show that the method of generalized monotone iterative for differential equations with nonlinear boundary value cpnditions by employing the form of the sum of two monotone functions and coupled lower and upper solutions. |
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| Keywords: | Lower and upper solutions Monotone iterative Nonlinear boundary value conditions |
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