半平面中一类Riemann-Hilbert边值逆问题  

A class of inverse Riemann-Hilbert boundary value problems in half plane

作　　者：鄢盛勇[1] 

机构地区：[1]四川教育学院数学系,四川成都610041

出　　处：《贵州师范大学学报（自然科学版）》2011年第1期52-57,共6页Journal of Guizhou Normal University：Natural Sciences

基　　金：四川省教育厅重点项目基金(09ZA091)资助项目

摘　　要：给出了半平面中一类解析函数的Riemann-Hilbert边值逆问题的数学提法,利用半平面中的Riemann-Hil-bert边值问题的已有结果,讨论了此边值逆问题在正则型和非正则型情况下的可解性,给出了其可解条件和解表达式.The mathematical formulation of a class of inverse Riemann-Hilbert boundary value problems for analytic functions in half plane is given. On the basis of the classical theory of Riemann-Hilbert boundary value problems in half plane, the solvability of the inverse boundary value problems of the normal and non-normal cases are both discussed. The conditions and representations of the solutions are obtained.

关 键 词：Riemann-Hilbert边值逆问题 半平面 非正则型 正则型 

分 类 号：O175.8[理学—数学]