一类解析函数四元素边值问题可解性的补充  

On Additional Explanations of Solvability of the Four Elements Boundary Value Problems of the Analytic Function

作　　者：李正吾[1] 

机构地区：[1]仰恩大学

出　　处：《学术问题研究》2008年第1期65-69,共5页Academic Research(Integrated Edition)

摘　　要：前苏联数学家Литвинчук在其专著《带位移的奇异积分方程与边值问题》中对一类既含复共轭值又含Carleman位移的解析函数四元素边值问题仅给出了Noether条件,该问题的退化情形没有像仅含复共轭值不含Carleman位移的边值问题解决得那样圆满。这一不足通过把四元素问题化为两个二元素问题得到解决。In the monograph Singular integral equations with displacement and boundary value problems,the former soviet mathematician Jhtbhhyyk only gave the Noether conditions for a class of four-element boundary value problems of analytic functions,which includes Carleman displacement as well as compound conjugate value.The degradation of these problems has not been solved as successfully as the boundary value problems only with compound conjugate value but without Carleman displacement.This insufficiency can be solved by changing the four-element problems into two double-element problems.

关 键 词：解析函数边值问题 Carleman位移 Noether问题 

分 类 号：O174.5[理学—数学]