利用脉冲函数(δ(t))的性质求含参变量的广义积分

Application of Impulse Function Characteristics to Calculate Improper Integral with Variables

把含参变量的广义积分转化为含有脉冲函数的常微分方程,利用解常微分方程的方法求解.通过算例验证,在命题条件下,引入广义函数,对可微性定理做适当修改,弱化一致收敛条件,含参变量的广义积分可得到满意的结果.

Improper integral with variables is transferred into differential equation with impulse function and calculated by method for differential equation with constant coefficients. In proposition condition, satisfying result can be obtained by modifying differentiability theorem and weakening convergence conditions, It has been improved by exam- pies.