| 一类奇异积分方程组的直接解法 |
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| 引用本文： | 姜海波.一类奇异积分方程组的直接解法[J].宁夏大学学报(自然科学版),2006,27(1):21-24. |
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| 作者姓名： | 姜海波 |
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| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053 |
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| 摘 要： | 讨论了一类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Hermite插值多项式，给出这类奇异积分方程组的直接解法，得到其可解的充要条件及解的封闭形式．最后给出了它的一个应用．
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| 关 键 词： | 奇异积分方程组 直接解法 Hermite插值多项式 |
| 文章编号： | 0253-2328（2006）01-0021-04 |
| 收稿时间： | 2005-01-10 |
| 修稿时间： | 2005-01-10 |
The Direct Method of Soluting a Class of Systems of Singular Integral Equations |
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| Jiang Haibo.The Direct Method of Soluting a Class of Systems of Singular Integral Equations[J].Journal of Ningxia University(Natural Science Edition),2006,27(1):21-24. |
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| Authors: | Jiang Haibo |
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| Institution: | Department of Mathematics, Xiangfan College, Xiangfan 441053, China |
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| Abstract: | In this paper, the method of soluting singular integral equations is discussed. When coefficient and kernel density are analytical, by introducing Hermite interpolation polynomials, the direct method of soluting this class of systems singular integral equations is presented. The necessary and sufficient condition for the solvability of the systems of singular integral equations and the close form of the solution are obtained. An application about systems of singular integral equations is given. |
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| Keywords: | systems of singular integral equations the direct method of solution ermite interpolation polynomials |
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