摘要
本文利用指数变换研究了一类解具高阶奇性的周期黎曼边值问题,通过转化法研究了一类解具有高阶奇性的Hilber核奇异积分方程,获得了相应的解和可解条件表达式.推广了Hilber核奇异积分方程的结果.
In this paper, we discuss a class of Periodic Riemann boundary value problems which have solutions with high order singulary. The solutions and solvable conditions are given. Then on this base,the solutions and solvable conditions for a class of singular integral equations with Hilbert kernel which have solutions with the similar property are given. Thus we generalize the results about singular integral equations with Hilbert kernel.
出处
《数学杂志》
CSCD
北大核心
2006年第4期355-360,共6页
Journal of Mathematics
基金
SupportedbytheNationalNaturalScienceFoundationofChina(No.19971064)
关键词
奇异积分方程
Hilber核
高阶奇性解
singular integral equation
Hilbert kernel
solutions with high order singularity