k正则函数及非齐次k阶方程(~kW)/(~k)=f的Riemann边值问题  

A Class of Riemann Boundary Value Problems for k-regular Functions and Equation (~kW)/(~k)=f

作　　者：张斌儒[1] 杨丕文[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2007年第3期304-308,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金资助项目

摘　　要：给出了κ正则函数含参变未知函数及非齐次k阶方程a^κW/aZ^-κ=f的Riemann边值问题的提法,并讨论了它们的Riemann边值问题的可解性,得到了它们的边值问题的可解性结论.The formulation of a class of Riemann boundary value problems with parametic unknown functions for κ-regular functions and equation a^κW/aZ^-κ=f are proposed. On the basis of the Riemann boundary value problems for κ-regular functions and equation a^κW/aZ^-κ=f the solvability of Riemann boundary value problems with parametic unknown functions for κ-regular functions and equation a^κW/aZ^-κ=f are discussed. The theorems of solvability of the problems are obtained.

关 键 词：κ正则函数 参变未知函数 非齐次κ阶方程 RIEMANN边值问题 

分 类 号：O175[理学—数学]