数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2006年
4期
355-360
,共6页
奇异积分方程%Hilber核%高阶奇性解
奇異積分方程%Hilber覈%高階奇性解
기이적분방정%Hilber핵%고계기성해
singular integral equation%Hilbert kernel%solutions with high order singularity
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.
本文利用指數變換研究瞭一類解具高階奇性的週期黎曼邊值問題,通過轉化法研究瞭一類解具有高階奇性的Hilber覈奇異積分方程,穫得瞭相應的解和可解條件錶達式. 推廣瞭Hilber覈奇異積分方程的結果.
본문이용지수변환연구료일류해구고계기성적주기려만변치문제,통과전화법연구료일류해구유고계기성적Hilber핵기이적분방정,획득료상응적해화가해조건표체식. 추엄료Hilber핵기이적분방정적결과.
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.
