| 具一阶奇异性解的奇异积分方程的直接解法 |
| |
| 引用本文： | 姜海波,杜金元.具一阶奇异性解的奇异积分方程的直接解法[J].数学杂志,2007,27(2):222-226. |
| |
| 作者姓名： | 姜海波 杜金元 |
| |
| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
| |
| 摘 要： | 本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法.利用推广的留数定理和Hermite插值多项式,得到了其可解的充要条件和解的封闭形式.
|
| 关 键 词： | 直接解法 Hermite插值多项式 一阶奇异性 |
| 文章编号： | 0255-7797（2007）02-0222-05 |
| 修稿时间： | 2005-01-052005-04-08 |
THE DIRECT METHOD OF SOLUTION FOR SINGULAR INTEGRAL EQUATIONS WITH SOLUTIONS HAVING SINGULARITIES OF ORDER ONE |
| |
| JIANG Hai-bo,DU Jin-yuan.THE DIRECT METHOD OF SOLUTION FOR SINGULAR INTEGRAL EQUATIONS WITH SOLUTIONS HAVING SINGULARITIES OF ORDER ONE[J].Journal of Mathematics,2007,27(2):222-226. |
| |
| Authors: | JIANG Hai-bo DU Jin-yuan |
| |
| Institution: | School of Math. and Statistics , Wuhan University , Wuhan 430072,China |
| |
| Abstract: | In this paper,we study the direct method of solution for a class of complets singular integral equations with solutions having singularities of order one.By using the extended residue theorem and Hermite interpolation polynomials, the necessary and sufficient condition for the solvability and the closed form of the solution are obtained. |
| |
| Keywords: | the direct method of solution Hermite interpolation polynomials singularities of order one |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
