| 一类卷积型方程 |
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| 引用本文： | 王传荣.一类卷积型方程[J].福州大学学报(自然科学版),1994(1):1-5. |
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| 作者姓名： | 王传荣 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 利用高阶奇异积分的Ｆｏｕｒｉｅｒ变换和高阶奇异积分方程研究一类带幂权核的卷积型方程，讨论了它的可解性条件、解的数目及解法。
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| 关 键 词： | 高阶奇异积分，Fourier变换，幂权核，卷积型方程 |
A Class of the Conlution Integral Equation |
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| Wang Chuanrong.A Class of the Conlution Integral Equation[J].Journal of Fuzhou University(Natural Science Edition),1994(1):1-5. |
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| Authors: | Wang Chuanrong |
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| Abstract: | In this paper we consider a class of the convolution integral equation with power-kernel.We reduce several equations to the higher order singular integral equation by means of the Fourier transformation of higher order singular integral.Then we discuss the necessary and sufficient condition of the solubility and the number of solutions for this convolution integral equation. |
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| Keywords: | higher order singular integral Fourier transformation convolution type equation |
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