波动方程系数反问题的一种求解方法

A solving method of inverse problem by determining coefficient in limit range for wave equation

讨论了一维波动方程在有界域上系数反演的一种求解方法 ,将解进行一阶渐进展开 ,得到相应的反问题 ,将其转化为第二类Volttera型积分方程组 。

This paper discussed an evaluation method to determine inverse problem of one-dimensional wave equation in limit range, which is a gradual expansion in one-order approaching to the solution. By obtaining inverse problem, turned the inverse problem into integral equations of second Volttera type. The existence and uniqueness of solution of inverse problem was acquired.