| 常微分方程解的折线逼近法 |
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| 引用本文： | 秦松喜.常微分方程解的折线逼近法[J].龙岩学院学报,2007,25(3):1-3. |
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| 作者姓名： | 秦松喜 |
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| 作者单位： | 龙岩学院数学与计算机科学学院,福建龙岩,364000 |
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| 摘 要： | 通过对区间的特殊分解法,构造图象是折线的分段线性函数列{xm(·)},使它的极限函数是一个给定常微分方程柯西问题的解,并不要求方程右边的函数满足Lipschitz条件.
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| 关 键 词： | 柯西问题 等度连续 等度振荡 近似解 |
| 文章编号： | 1673-4629（2007）03-0001-03 |
| 收稿时间： | 2006-12-19 |
| 修稿时间： | 2006年12月19 |
Polygonal Line Approximations of the Solution to Ordinary Differential Equation |
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| QIN Song-xi.Polygonal Line Approximations of the Solution to Ordinary Differential Equation[J].Journal of Longyan Univercity,2007,25(3):1-3. |
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| Authors: | QIN Song-xi |
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| Institution: | QIN Song-xi |
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| Abstract: | Based on special partitions to an interval,a sequence of piecewise linear functions whose graphs are polygonal lines is constructed,making its limit function a solution to the Cauchy problem of a given ordinary differential equation,without requiring the function on the right side of the equation to be Lipschitzean. |
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| Keywords: | Cauchy problem equicontinuous equiosicillating approximate solution |
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