摘要
对定义在仅有一条封闭曲线的Riemann边值问题(单连通R问题)的解法进行推广,得到有界多连通区域上的Riemann边值问题(多连通R问题)的解法。并且得出单连通R问题和多连通R问题的解具有相关性。
Solution to Riemann boundary value problem(singly connected R problem) defined in only a closed curveis generalized to gain the solution to the Riemann boundary value problems(multi connected R problem) defined in bounded multi connected region.It is also gained that the solutions to the singly connected R problem and the multi connected R problem are related.
引文
[1]路见可.解析函数边值问题[M].上海:上海科学技术出版社,2009.
[2]路见可.推广的留数定理及其应用[J].武汉大学学报(自然科学版),2001(3).
[3]路见可,钟寿国,刘士强.复变函数[M].武汉:武汉大学出版社,2009.
[4]路见可.关于双周期Riemann边值问题[J].武汉大学学报(自然科学版),1979(3).
[5]Li X.Applications of Doubly Quasi-Periodic Boundary Value Problems in Elasticity Theory[M].Gelsenkirchen:Shaker Verlag,2001.
[6]Vatul’Yan A O,Solov’Yev A N.Reconstruction of Plane Cracks in an Anisot ropic Elastic Solid[J].J of Applied Math Mech,2005,69:484.
[7]Nagayasu S.An Inverse Problem for the Elastic Equation in Plane2St ratified Media[J].SU T Journalof Mathematics,2005,41(2).
[8]章红梅,王传荣.Riemann边值问题的解关于边界曲线的稳定性[J].福州大学学报(自然科学版),2001.
[9]路见可.周期Riemann边值问题及其在弹性力学中的应用[J].数学学报,1963(3).