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关于带复平移的奇异积分方程
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.
作者姓名:张忠祥
作者单位:武汉大学数学系
基金项目:Supported by NNSF of China (19971064); RFDP of Higher Education(98048627); SF of Wuhan University.
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。

关 键 词:奇异积分方程  上下复平移  充分条件  
文章编号:0255-7797(2001)02-0161-07

ON SINGULAR INTEGRAL EQUATIONS WITH TRANSLATIONS
ZHANG Zhong-xiang.ON SINGULAR INTEGRAL EQUATIONS WITH TRANSLATIONS[J].Journal of Mathematics,2001,21(2):161-167.
Authors:ZHANG Zhong-xiang
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.
Keywords:upper and lower translations  singular integral equations
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