| 具有余割核和卷积核的奇异积分方程的求解 |
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| 引用本文： | 李平润. 具有余割核和卷积核的奇异积分方程的求解[J]. 曲阜师范大学学报, 2007, 33(2): 55-58,72 |
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| 作者姓名： | 李平润 |
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| 作者单位： | 曲阜师范大学数学科学学院,273165,山东省曲阜市 |
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| 摘 要： | 利用离散的Fourier变换首次讨论了含有余割核csc(τ-θ)和卷积核的二类奇异积分方程的求解,并首先在L2[-π,π]上得到了可解条件和一般解.
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| 关 键 词： | 奇异积分方程 卷积核 csc(τ-θ)核 离散的Fourier变换 |
| 文章编号： | 1001-5337（2007）02-0055-04 |
| 修稿时间： | 2006-06-23 |
On the Solution of Singular Integral Equations with Both Cosecant and Convolution Kernel |
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| LI Ping-run. On the Solution of Singular Integral Equations with Both Cosecant and Convolution Kernel[J]. Journal of Qufu Normal University(Natural Science), 2007, 33(2): 55-58,72 |
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| Authors: | LI Ping-run |
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| Affiliation: | College of mathematics, Qufu Normal University, 273165, Qufu, Shangdong, PRC |
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| Abstract: | In this paper,two kinds of singular integral equation of cosecant kernel with convolution are discussed,using the theories of the discrete Fourier transform.the general solution in class L2 as well as the condition of solvability are firstly obtained. |
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