一类两端奇异带有转移条件的S-L问题的Weyl矩阵与谱矩阵  

Weyl Matrix and Spectral Matrix of S-L Problems with Transmission Conditions and Two Endpoint Singularity

作　　者：姜朝宇[1] 高云兰[1] 孙莹[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2013年第3期161-165,共5页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金(11171295)

摘　　要：研究了一类带有转移条件二阶S-L问题两端奇异的情形,在定义的新的内积空间下进行,首先在有限区间I上进行讨论,然后将有限区间I的结论进一步推广到无限区间,最终给出了Weyl矩阵与谱矩阵的关系.A class of S -L problems with transmission conditions and two endpoint singularity were studied .To handle the problem ,a new Hilbert space is definite .First of all , the problems in a finite interval I are discussed .Then according new result , conclusion is extended to the infinite interval .In the end , the relationship of Weyl Matrix and Spectral Matrix is given .

关 键 词：微分算子 转移条件 Weyl矩阵 谱矩阵 

分 类 号：O175.3[理学—数学]