封闭曲线上一类含函数核奇异积分方程的Noether定理

摘要

In this paper, we discussed the solution of one kind of singular integral equation with ￡-function kernel on closed smooth curve, then gave the general solutions, solvable conditions and the Noether theorem.%给出一类含函数核的奇异积分方程,通过构造辅助函数,将这类含函数核的奇异积分方程转化为相应的双周期黎曼边值问题,进而讨论双周期黎曼边值问题的可解条件、一般解,得到封闭曲线情况下奇异积分方程的求解问题,给出其一般解、可解条件和可解性Noether理论.