| 具一阶奇异性解的完全奇异积分方程的直接解法 |
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| 引用本文： | 姜海波.具一阶奇异性解的完全奇异积分方程的直接解法[J].宁夏大学学报(自然科学版),2006,27(2):156-160. |
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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： | 讨论了一类具有一阶奇异性解的完全奇异积分方程的求解问题．通过引入Hermite插值多项式，给出了这类完全奇异积分方程的一种直接解法．并得到其可解的充要条件和解的封闭形式．
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| 关 键 词： | 一阶奇异性解 奇异积分方程 直接解法 Hermite插值多项式 |
| 文章编号： | 0253-2328（2006）02-0156-05 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006-04-10 |
The Direct Method of Soluting Complete Singular Integral Equations with Solutions Having Singularities of Order One |
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| Jiang Haibo.The Direct Method of Soluting Complete Singular Integral Equations with Solutions Having Singularities of Order One[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):156-160. |
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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 complete singular integral equations with solutions having singularities of order one is discussed. By introducing Hermite interpolation polynomials, the direct method of solution for this class of complete singular integral equations is presented. The necessary and sufficient condition for the solvability and the close form of the solution are obtained. |
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| Keywords: | solutions with singularities of order one singular integral equations the direct method of solution Hermite interpolation polynomials |
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