摘要
文章给出了具有间断系数的周期Hilbert边值逆问题在单位圆周上的数学提法,应用周期延拓、保形变换等方法将问题转化为经典的Riemann边值问题,并据其理论,讨论了具有间断系数的周期Hilbert边值逆问题的可解性,给出了该类边值问题的可解条件及其在正则情况下的一般解。
The mathematical definition of Hilbert boundary value inverse problem for the upper half plane with discontin‐uous coefficient was discussed in this paper .Methods of period and conformal transformation were applied to convert the problem into Riemann boundary value problem .Based on the theory ,the solvability of the inverse Hilbert boundary value problem with discontinuous coefficients was discussed .The solvability conditions of the problem and its general solution in the case of regular were obtained .
出处
《黄冈师范学院学报》
2016年第3期1-3,21,共4页
Journal of Huanggang Normal University
基金
绥化学院杰出青年基金项目(SJ11005)
关键词
Hilbert边值逆问题
周期
间断系数
Hilbert boundary value inverse problem
cycle
discontinuous coefficient
