| 关于带复平移的奇异积分方程 |
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| 引用本文： | 张忠祥. 关于带复平移的奇异积分方程[J]. 数学杂志, 2001, 21(2): 161-167 |
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| 作者姓名： | 张忠祥 |
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| 作者单位： | 武汉大学数学系 |
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| 基金项目： | Supported by NNSF of China (19971064); RFDP of Higher Education(98048627); SF of Wuhan University. |
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| 摘 要： | 本文得出了带多个上下复平移的奇异积分方程的等价方程，并由此给出了其可解的充分条件，同时获得了奇异分方程的解的具体表达形式。
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| 关 键 词： | 奇异积分方程 上下复平移 充分条件 解 |
| 文章编号： | 0255-7797(2001)02-0161-07 |
ON SINGULAR INTEGRAL EQUATIONS WITH TRANSLATIONS |
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| ZHANG Zhong-xiang. ON SINGULAR INTEGRAL EQUATIONS WITH TRANSLATIONS[J]. Journal of Mathematics, 2001, 21(2): 161-167 |
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| Authors: | ZHANG Zhong-xiang |
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| Abstract: | In this paper, we mainly consider singular integral equations with pairs of upper and lower translations. We obtain equivalent equations by a method different from [3] and the solutions as well as sufficient conditions of solvability. The method used consists of transferring them to boundary value problems of analytic functions in the upper and lower half-planes and then solving the latter. |
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| Keywords: | upper and lower translations singular integral equations |
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