一类带根号的Riemann边值逆问题的求解  

A method to solve one kind of inverse Riemann boundary value problems with radical sign

作　　者：罗英语[1] 

机构地区：[1]长春师范大学数学学院

出　　处：《黑龙江大学自然科学学报》2015年第6期719-723,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11301215);吉林省教育厅科学技术研究项目(吉教科合字2015第356号)

摘　　要：讨论一类带根号的Riemann边值逆问题的求解。通过对未知函数的结构进行分析,给出封闭曲线上带根号的Riemann边值逆问题的提法;利用积分变换,将其转化为一般的Riemann边值逆问题,随后又转化为经典的Riemann边值问题进行求解,从而得出封闭曲线上,带根号的Riemann边值逆问题的正则解和非正则解以及可解条件。A method to solve one class of inverse Riemann boundary value problems with radical sign is discussed. By analyzing the structure of unknown function, Riemann boundary value inverse problems with radical sign are addressed in closed curve. Then the problem is transferred to the general inverse Ri- emann boundary value problems by integral transformation method, further it is transferred to classical Ri- emann boundary value problems, and solutions are determined. So the regular and non regular solutions of the inverse Riemann boundary value problems on the closed curve and the solvable conditions are ob- tained.

关 键 词：RIEMANN边值逆问题 正则解 非正则解 一般解 

分 类 号：O174[理学—数学]