含有一个Carlman位移和两个平移的奇异积分方程的直接解法

MIXED TYPE SINGULAR INTEGRAL EQUATION CONTAINING ONE CARLEMAN DISPLACEMENT AND TWO TRANSLATION KERNELS

本文讨论了含有一个carlman位移和两个平移的混合型奇异积分方程的求解问题，其中a，b，c．d，e为复常数且满足正则条件△=a2+d2-b2-b2-C2≠Or(t)=-t＋δ．δ∈R，g（t）∈A．，要求解g（t）∈H，在△≠0时，本文得到下面结论：1．著Imα，Imβ。‖C‖≤‖D‖≤1则（10在H0中有唯一解．2．若Imα，Imβ，同号，刚当‖C‖＋‖D‖＜1时，方程（1）H0在中有唯一解．

This paper is concerned with Mixed type singular integral equation containing one carleman displacement and two translation Kernels. The general solution and conditions of solvability in H0(△≠0) are obtained.