一类带平移的奇异积分方程  

A Direct Solution Method of Singular Integral Equation with Complex Translation

作　　者：张曙翔[1] 

机构地区：[1]云南师范大学数学系

出　　处：《云南师范大学学报（自然科学版）》1998年第1期8-12,共5页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：对于实轴上带平移的奇异积分方程，路见可教授和杜金元教授用经典积分方程理论和正交投影的方法，在其系数为常数的情形下，给出了该方程的直接解法及其解的表达式。本文利用解析方法，对方程的系数适合一定解析性条件下，对实轴上带平移的奇异积分方程，给出了该方程的一种直接解法，并得出其可解条件、解的个数及解的表达式。In the case of the contact coefficient, the singular integral equation with complex translationon the real axis was discussed by the theory of integral equation and the way of orthogonal project. In this paper, singular integral equation with complex translation on the real axis is considered. On some conditions of analytic property, the singular integral equation with complex translation on the real axis was discussed with the theory of singular integular equation. The number of solutions and the conditions of solvability as well as the representation of the solutions were given.

关 键 词：奇异积分方程 平移 积分方程 解 

分 类 号：O175.5[理学—数学]