| 阿贝尔（Abel）方程的一个特殊解法 |
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| 引用本文： | 李天.阿贝尔（Abel）方程的一个特殊解法[J].天津商学院学报,2008,28(3):48-49. |
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| 作者姓名： | 李天 |
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| 作者单位： | 天津商业大学理学院 天津300134 |
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| 摘 要： | 给出奇异积分方程阿贝尔方程的一种技巧解法，作累次积分及变量替换推出此方程的解式，提出一个注记，拓展了求解积分方程的思路。变量替换、积分变换是求解微分方程和积分方程的一种重要方法。
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| 关 键 词： | 奇异积分方程 核 累次积分 积分变换 |
A Specific Solution for Abel Equation |
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| LI Tian.A Specific Solution for Abel Equation[J].Journal of Tianjin University of Commerce,2008,28(3):48-49. |
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| Authors: | LI Tian |
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| Institution: | LI Tian (School of Science, Tianjin University of Commerce, Tianjin 300134, China) |
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| Abstract: | A specific skilled solution for singular integral equation,Abel integral equation,is given in the paper.The solution for the equation is deduced by making repeated integral and substitution of variables.A note is raised,which enlarges the methods of solving integral equations.Substitution of variables and integral transform are an important method to solve differential equations and integral equations. |
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| Keywords: | singular integral equation kernel repeated integral integral transform |
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