常微分方程解的折线逼近法

Polygonal Line Approximations of the Solution to Ordinary Differential Equation

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。

Based on speeial partitions to an interval, a sequenee of pieeewise linear funetions whose graphs are polygonal fines is eonstrueted, making its limit funetion a solution to the Cauehy problem of a given ordinary differential equation, without requiring the function on the right side of the equation to be Lipsehitzean.