一类带约束的二维弱奇异积分方程的解

Solution of a 2-D Weak Singular Integral Equation with Constraint

本文找出二维弱奇异第一类积分方程作用着约束方程的解ｐ。其中是原点在Ｍ（ｒ，θ）的局部极坐标，（ｒ，θ）是原点在Ｏ（０，０）的总体极坐标：ｋ和Ｆ是给出的连续函数；是一常数；（常数）是研究域Ｑ的边界围线。所用方法可推广到三维情形。

In this paper, the solution of a 2-D weak singular integral equation of the first kind subjected to constraint is found and listed where (s.)is a local polar coordinating with origin at M(r,θ),(r、θ) is the glo-bal polar coordinating with origin at O(0,0) : k and F are given continuous functions:and C are constants: is the boundary contour of considering range Q.The method used can be exrended to 3-D cases.