【摘要】 通常初等函数都不具有紧支集,而实际问题中常需要定义在无穷区间上的紧支集函数.在求解格林问题的基础上利用差分方法构造了具有紧支集且有直到n阶连续导函数的函数B(x),给出的两个例子说明该方法是简单可行的.更多还原

【Abstract】 Generally speaking, elementary functions have no compact support. But, it is necessary to definite the function with compact support on infinite interval in real problems. Based on solving Green problem, a n-order differentiable function B(x), with compact support through the difference method in set of real numbers, is constructed. Two examples are shown to illustrate the approach is simple and validity.更多还原