| 一类具有变系数和余割核奇异积分的卷积型方程的求解 |
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| 引用本文： | 李平润.一类具有变系数和余割核奇异积分的卷积型方程的求解[J].天津师范大学学报(自然科学版),2009,29(4):11-13. |
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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,山东,曲阜,273165 |
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| 基金项目： | 曲阜师范大学科研启动基金 |
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| 摘 要： | 利用离散的Fourier变换首次讨论了具有变系数和余割核奇异积分的卷积型方程的求解,并在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 余割核 变系数 |
A kind of singular integral equations of convolution type with variable coefficient and cosecant kernel |
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| LI Pingrun.A kind of singular integral equations of convolution type with variable coefficient and cosecant kernel[J].Journal of Tianjin Normal University(Natural Science Edition),2009,29(4):11-13. |
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| Authors: | LI Pingrun |
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| Institution: | LI Pingrun (School of Mathematical Science, Qufu Normal University, Qufu 273165, Shandong Province, China) |
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| Abstract: | By using discrete Fourier transform the solution for a kind of singular integral equations of convolution type with variable coefficient and cosecant kernel is discussed firstly. The general solutionln L2-π,π] as well as the condition of solvability are obtained. |
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| Keywords: | singular integral equations convolution kernel cosecant kernel variable coefficient |
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