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带有变换及共轭的奇异积分方程
引用本文:崔俭春,刘福春.带有变换及共轭的奇异积分方程[J].中国石油大学学报(自然科学版),1997(6).
作者姓名:崔俭春  刘福春
作者单位:石油大学应用数学系(崔俭春),胜利油田二中(刘福春)
摘    要:讨论了一类带有变换及共轭的奇异积分方程的求解问题。应用解析函数积分表达式将奇异积分方程化为一个边值问题,对其求解并迭代,最后将其归结为一类Fredholm方程。

关 键 词:奇异  积分方程  指标  边值  求解

SOME CLASSES OF SINGULAR INTEGRAL EQUATIONS WITH TRANSFORMATION AND CONJUGACY
Cui Jianchun,University of petroleum,China.SOME CLASSES OF SINGULAR INTEGRAL EQUATIONS WITH TRANSFORMATION AND CONJUGACY[J].Journal of China University of Petroleum,1997(6).
Authors:Cui Jianchun  University of petroleum  China
Institution:Dongying 257062
Abstract:In this paper, the solvability problem about some calsses of singular integral equations with transformation and conjugacy is discussed. The solving problem is change as a boundary. Value problem to be solved. With the help of suitable integral representation of analytic functions, this problem is reduced and changed to a fredholm equation.
Keywords:Singular integral equation  Index  Boundary value problem of carlemann type
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