SINGULAR INTEGRAL EQUATIONS ALONG AN OPEN ARC WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER

作     者：钟寿国 Zhong Shouguo School of Mathematics and Statistics. Wuhan University, Wuhan 430072, China

作者机构：School of Mathematics and Statistics Wuhan UniversityWuhan 430072 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2005年第25卷第2期

页      面：193-200页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Foundation item is supported by the NNSF of China(19971064) 

主　　题：Open arc singular integral equation solutions with singularity of higher order Noether theorem characteristic equation 

摘      要：In this paper, the difficulties on calculation in solving singular integral equations are overcome when the restriction of curve of integration to be a closed contour is cancelled. When the curve is an open arc and the solutions for singular integral equations possess singularities of higher order, the solution and the solvable condition for characteristic equations as well as the generalized Noether theorem for complete equations are given.