On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems  

非齐次Riemann-Hilbert边值问题的求解

作　　者：ZHANG Wen-wen LI Ping-run 张雯雯;李平润

机构地区：[1]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第3期262-269,共8页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11971015).

摘　　要：This paper studies the non-homogeneous generalized Riemann-Hilbert(RH)problems involving two unknown functions.Using the uniformization theorem,such problems are transformed into the case of homogeneous type.By the theory of classical boundary value problems,we adopt a novel method to obtain the sectionally analytic solutions of problems in strip domains,and analyze the conditions of solvability and properties of solutions in various domains.

关 键 词：Generalized Riemann-Hilbert problem Uniformization theorem Analytic solution Sokhotski-Plemelj formula 

分 类 号：O174.5[理学—数学]