具有超复函数Cauchy核的奇异积分方程组  

ON SINGULUR INTEGRAL EQUATION FOR HYPERCOMPLEX FUNCTIONAL SYSTEMS WITH CAUCHY KERNEL

作　　者：刘春根[1] 

机构地区：[1]南开大学数学系

出　　处：《南开大学学报（自然科学版）》1995年第2期30-33,共4页Acta Scientiarum Naturalium Universitatis Nankaiensis

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.

关 键 词：奇异积分方程组 超复函数组 边值问题 柯西核 

分 类 号：O175.5[理学—数学]