| 具一阶奇异性解的奇异积分方程组的直接解法 |
| |
| 引用本文： | 姜海波.具一阶奇异性解的奇异积分方程组的直接解法[J].四川师范大学学报(自然科学版),2007,30(4):422-425. |
| |
| 作者姓名： | 姜海波 |
| |
| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053;武汉大学,数学与统计学院,湖北,武汉,430072 |
| |
| 摘 要： | 讨论了一类具有一阶奇异性解的奇异积分方程组的解法.当系数和核密度具有解析性时,通过引入Herm ite插值多项式,给出这类奇异积分方程组的直接解法,得到了其可解的充要条件和解的封闭形式.
|
| 关 键 词： | 一阶奇异性解 奇异积分方程组 Hermite插值多项式 直接解法 |
| 文章编号： | 1001-8395（2007）04-0422-04 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2005-01-13 |
Direct Method of Solution for Systems of Singular Integral Equations With Solutions Having Singularities of Order One |
| |
| JIANG Hai-bo.Direct Method of Solution for Systems of Singular Integral Equations With Solutions Having Singularities of Order One[J].Journal of Sichuan Normal University(Natural Science),2007,30(4):422-425. |
| |
| Authors: | JIANG Hai-bo |
| |
| Institution: | 1. Department of Matherrmtics, Xiangfan College, Xiangfan 441053, Hubei; 2. College of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei |
| |
| Abstract: | In this paper the direct method of solution for a class of systems of singular integral equations with solutions having singularities of order one is discussed. When the coefficients and kernel density are analytical, by introducing Hermite interpolation polynomials, a direct method of solution is given for this class of systems of singular integral equations. The necessary and sufficient condition for the solvability of the systems of singular integral equations and the close form of the solution are obtained. |
| |
| Keywords: | Solutions with singularities of one order Systems of singular integral equations Hermite interpolation polynomials Direct method of solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
