F-Ⅰ型算子核为退化核的奇异积分方程

The Singular Integral Equation with F-Ⅰ Operator Kernel Being Degenerate Kernel

用 Vekua正则化方法、Fredholm理论及退化核积分方程理论 ,给出 Fredholm第一型核为退化核的奇异积分方程解和可解条件 ,对 F- 型核为一般连续核和弱奇性核的奇异积分方程也有若干结果 .

Using the Vekua method of regularization,the theories of Fredholm and integral equation for degenerate kernel,it is given the solutions and conditions of solvability of singular integral equation which F- type operator kernel is degnerate.It has also the some consequence for singular integral equation which F- operator kernel is general continous kernel or singular kernel with weak singularity.