解析函数的非正则型Riemann-Hilbert边值逆问题  

Non-normal inverse Riemann-Hilbert boundary value problems for analytic functions

作　　者：鄢盛勇[1] 

机构地区：[1]四川教育学院数学系,四川成都611130

出　　处：《兰州理工大学学报》2011年第2期141-145,共5页Journal of Lanzhou University of Technology

基　　金：四川省教育厅重点项目基金(09ZA091)

摘　　要：给出解析函数的非正则型Riemann-Hilbert边值逆问题的提法,在将之转化为非正则型Riemann-Hilbert边值问题的基础上,利用解析函数的非正则型Riemann边值问题的相关理论,讨论此边值逆问题的可解性,给出它们的可解条件和解表达式.The general mathematical formulation of non-normal inverse Riemann-Hilbert boundary value problems for analytic functions was given.On the basis of transferring these inverse boundary value problems into Riemann-Hilbert boundary value problems of non-normal type and correlative theory of non-normal Riemann boundary value problems for analytic functions,the solvability of the boundary value problems was discussed.Their solvable conditions and the representations of the solutions were given.

关 键 词：Riemann-Hilbert边值逆问题 RIEMANN-HILBERT边值问题 非正则型 

分 类 号：O175.8[理学—数学]