宁夏大学学报(自然科学版)
寧夏大學學報(自然科學版)
저하대학학보(자연과학판)
2007年
1期
5-9
,共5页
奇异积分方程%Hilbert核%高阶奇性解
奇異積分方程%Hilbert覈%高階奇性解
기이적분방정%Hilbert핵%고계기성해
singular integral equation%Hilbert kernel%solution with singularity of high order
首先讨论了具有高阶奇性解的周期Riemann边值问题,然后通过解周期Riemann边值问题研究了具有高阶奇性解的带Hilbert核的奇异积分方程,将已有的具一阶奇性解的带Hilbert核的奇异积分方程进行了推广.
首先討論瞭具有高階奇性解的週期Riemann邊值問題,然後通過解週期Riemann邊值問題研究瞭具有高階奇性解的帶Hilbert覈的奇異積分方程,將已有的具一階奇性解的帶Hilbert覈的奇異積分方程進行瞭推廣.
수선토론료구유고계기성해적주기Riemann변치문제,연후통과해주기Riemann변치문제연구료구유고계기성해적대Hilbert핵적기이적분방정,장이유적구일계기성해적대Hilbert핵적기이적분방정진행료추엄.
The periodic Riemann boundary value problem with high order singularity solution is discussed firstly. The singular integral equation (SIE) with Hilbert kernel which has high order singularity solution is studied by solving the corresponding periodic Riemann boundary value problem, and then the problem of SIE with Hilbert kernel has one order singularity solution is generalized.