开口弧上奇异积分方程的直接解法初探  

Direct method of singular integral equation on open arc

作　　者：许丽娟 刘华[1] 边小丽[1] XU Lijuan;LIU Hua;BIAN Xiaoli(School of Science,Tianjin University of Technology and Education,Tianjin 300222)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《宁夏师范学院学报》2020年第1期18-24,共7页Journal of Ningxia Normal University

基　　金：国家自然科学基金项目(11802208).

摘　　要：讨论开口弧上正则型奇异积分方程情况下的直接解法,用Plemelj公式和推广的留数定理将此积分方程化为代数方程,最后直接给出解.This paper discusses the direct solution of the regular singular integral equation on the open arc.By using the Plemelj formula and the extended residue theorem,the integral equation is transformed into an algebraic equation.At last,the solution is given directly.

关 键 词：奇异积分方程 RIEMANN边值问题 开口弧 直接解法 

分 类 号：O174.5[理学—数学]