摘要
本文讨论了超复函数带Cauchy核的奇异积分方程组,得到了指标公式和非齐次超复函数奇异积分方程组的可解条件。在可解条件下,得到了非齐次超复函数的奇异积分方程组的求解公式。
In this paper,it is considered about some singular integral equations for hypercomplex functional systems with Cauchy kernel. The index formular has been obtained, and also the solvable conditions for the system of inhomogeneous singular integral equation has been acquired. If these conditions is satisfied,the general solution formular for the system of inhomogeneous singular integral equation has been obtained.
出处
《南开大学学报(自然科学版)》
CAS
CSCD
1995年第2期30-33,共4页
Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词
奇异积分方程组
超复函数组
边值问题
柯西核
system of singular integral equations
system of adjoint singular integral equations
system of hypercomplex functions
boundary value problem and index