摘要
本文得出了带多个上下复平移的奇异积分方程的等价方程 ,并由此给出了其可解的充分条件 ,同时获得了奇异积分方程的解的具体表达形式 .
In this paper, we mainly consider singular integral equations with pairs of upper and lower translations. We obtain equivalent equations by a method different from [3] and the solutions as well as sufficient conditions of solvability. The method used consists of transferring them to boundary value problems of analytic functions in the upper and lower half-planes and then solving the latter.
出处
《数学杂志》
CSCD
北大核心
2001年第2期161-167,共7页
Journal of Mathematics
基金
NNSF of China (1 9971 0 64)
RFDP of Higher Education(980 4 862 7)
SF of Wuhan Universit
关键词
奇异积分方程
上下复平移
充分条件
解
upper and lower translations, singular integral equations