This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and it's elementary solutions.
本文给出了具有变量可分离核的积分方程解的存在条件和初等求解法。
2
The article introduces a method in which the order of quadratic integral can be exchanged with the knowledge of elementary.
给出了一种代数法交换积分次序的方法，避免了作积分区域图的麻烦。
3
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.