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某些带变换的边值问题和奇异积分方程
引用本文:路见可.某些带变换的边值问题和奇异积分方程[J].数学进展,1994,23(5):424-431.
作者姓名:路见可
作者单位:武汉大学数学系
摘    要:本文主要考虑某些带变换的奇异积分方程。尽管用经典的正则化方法可以求解,我们还是给出一种新的分区跳跃方法,使它们化为较简单的可以系统地求解并可迅即讨论的Fredholm积分方程。

关 键 词:边值问题  奇异积分方程  分区跳跃法

Some Classes of Boundary Value Problems and Singular Integral Equations with a Transformation
Lu Jianke.Some Classes of Boundary Value Problems and Singular Integral Equations with a Transformation[J].Advances in Mathematics,1994,23(5):424-431.
Authors:Lu Jianke
Abstract:In this paper,we consider mainly certain singular integral equations witha transformation. In spite of the classical method of regularization for solution,we are to give a new sectionally jumping method that they may be reduced to simpler Fredholm integral equations which can be systematically solved and ready to be discussed.
Keywords:Riemann boundary value problems  singular integral equations  transformation
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