The Generalized Inverse of Singular Integral Operators on an Open Arc and Its Applications

被引：1
|
作者：
Li Hong\|yan
机构：
来源：
Wuhan University Journal of Natural Sciences | 2001年 / 04期
基金：
中国国家自然科学基金;
关键词：
open arc; generalized inverse; singular integral equations with kernel having singularities of order one;
D O I：
暂无
中图分类号：
O175.5 [积分方程];
学科分类号：
070104 ;
摘要：
After choosing weight functions suitably, we define a Banach space H μ ω(L) and discuss the generalized inverse of singular integral operators on an open arc. Using the generalized inverse, we obtain the solutions for the following singular integral equation a(t)φ(t)+b(t) πi ∫ L (1τ-t+k(τ))φ(τ) d τ=f(t) Hence, we extend and unify the method of solution for characteristic equations with Cauchy kernel and Hilbert kernel.
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收藏
页码：747 / 753
页数：7
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