| 一类具有反射与卷积核的奇异积分方程的解法(英文) |
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| 引用本文： | 李平润,曹丽霞.一类具有反射与卷积核的奇异积分方程的解法(英文)[J].曲阜师范大学学报,2014(4):21-25. |
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| 作者姓名： | 李平润 曹丽霞 |
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| 作者单位： | 曲阜师范大学数学科学学院;东北石油大学数学科学与技术学院; |
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| 基金项目： | Supported by the Qufu Normal University Youth Fund(XJ201218) |
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| 摘 要： | 提出并讨论了一类具有反射与卷积核的Wiener-Hopf型奇异积分方程,利用Fourier变换将其转化为具有反射与间断系数的Riemann边值问题,在函数类中得到了此类方程的封闭解和相应的可解条件.
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| 关 键 词： | 反射 卷积型奇异积分方程 Wiener-Hopf型 典则解矩阵 |
Solutions for A Kind of Singular Integral Equations with Both Convolution Kernel and Reflection |
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| Institution: | LI Ping-run, CAOLi-xia (1school of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong ;2 Mathematics College, Northeast Petroleum University, 163318 ,Daqing, Heilongjiang,PRC) |
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| Abstract: | In this paper,one kind of singular integral equation of Wiener-Hopf type containing both con-volution kernel and reflection is set up and discussed.By using Fourier transform,this class of equation is trans-formed into a Riemann boundary value problem with both discontinuous coefficients and reflection,the closed solution and the conditions of solvability are obtained. |
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| Keywords: | Reflection singular integral equation of convolution type Wiener-Hopf type canonical solu-tion matrix |
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