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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
引用本文:姜朝宇,高云兰,孙莹. 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[J]. 内蒙古工业大学学报, 2013, 0(3): 161-165
作者姓名:姜朝宇  高云兰  孙莹
作者单位:内蒙古工业大学理学院,呼和浩特010051
基金项目: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.

关 键 词:微分算子  转移条件  Weyl矩阵  谱矩阵

Weyl Matrix and Spectral Matrix of S -L Problems with Transmission Conditions and Two Endpoint Singularity
JIANG Chaoyu,GAO Yunlan,Sun Ying. Weyl Matrix and Spectral Matrix of S -L Problems with Transmission Conditions and Two Endpoint Singularity[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 2013, 0(3): 161-165
Authors:JIANG Chaoyu  GAO Yunlan  Sun Ying
Affiliation:( Inner Mongolia University of Technology, Hohhot 010051, China)
Abstract: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 .
Keywords:Differential Operator  Transmission Condition  Weyl Matrix  Spectral Matrix
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