双解析函数的一般复合边值问题  

A General Compound Boundary Value Problem for Binanlytic Functions

作　　者：谢碧华[1] 林娟[2] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350108 [2]福建商业高等专科学校基础部,福建福州350012

出　　处：《福建师范大学学报（自然科学版）》2009年第4期22-25,共4页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅基金资助项目(JA06074)

摘　　要：研究开口弧段Γ上双解析函数的Riemann边值问题与封闭的Lyapunov曲线L上双解析函数的Hilbert边值问题复合而成的一般复合边值问题,利用消去法换元把问题转化为Hilbert边值问题加以求解,并得到具体的解.The Riemann-Hilbert compound problem for bianalytic functions, namely the Riemann boundary value problem for an open arc Г and the Hilbert boundary value problem for closed Lyapunov curve L compound, is considered and solved. Using the method of solution is to eliminate the ＂Riemann part＂ of the problem at first. Then, the problem is reduced to Hilbert problem. Thus the related conditions of solvability and general solution are abtained.

关 键 词：双解析函数 开口弧段 RIEMANN边值问题 HILBERT边值问题 复合边值问题 

分 类 号：O175.8[理学—数学]