边界过原点的任意半平面中的RH边值问题  

Riemann Hilbert Boundary Value Problem on Arbitrary Half-Plane

作　　者：曹丽霞 CAO Li-xia(Mathematics College,Northeast Petroleum University,Daqing 163318,China)

机构地区：[1]东北石油大学数学与统计学院,黑龙江大庆163318

出　　处：《数学的实践与认识》2023年第11期194-201,共8页Mathematics in Practice and Theory

摘　　要：给出边界过原点的任意半平面中RH边值问题的提法,借助于解析函数的对称扩张将此问题转化为无穷直线上的Riemann边值问题,讨论了该问题的求解并得到该问题的一般解及可解性定理.The formulation of Hilbert boundary value problem on arbitrary half-plane with its boundary passing through the origin was proposed.By means of the symmetric extending of function we defined,the RH boundary value problem was reduced to the Riemann boundary value problem on infinite straight line,then the solvability of the problems was discussed,and the general solutions and the theorems of solvability of the problem were obtained.

关 键 词：半平面 对称扩张 RH边值问题 可解性 

分 类 号：O174[理学—数学]