一类两个边界带谱参数的Sturm-Liouville算子Ⅲ  

A Class of Sturm-Liouville Operators with Spectral-parameters in Two Boundary Conditions Ⅲ

作　　者：罗佩芳 黄赞 LUO Pei-fang;HUANG Zan(Department of Basic Courses,Guangzhou Maritime University,Guangzhou,Guangdong 510725,China;School of Ship and Marine Engineering,Guangzhou Maritime University,Guangzhou,Guangdong 510725,China)

机构地区：[1]广州航海学院基础教学部,广东广州510725 [2]广州航海学院船舶与海洋工程学院,广东广州510725

出　　处：《广州航海学院学报》2018年第1期70-72,共3页Journal of Guangzhou Maritime University

基　　金：广东省自然科学基金项目(2015A030313819);广州市科技计划项目(201541);广州航海学院"创新强校"项目(D234;A330106;B510647)资助

摘　　要：本文研究一类正则Sturm-Liouville(S-L)问题,其中具有转换条件,并且在边界条件中带两个谱参数.将S-L问题的特征值和特征函数的研究,转换为适当Hilbert空间H中线性算子A的特征问题.同时,探究上述问题新算子A特征函数系的完备性.To investigate a class of regular Sturm-Liouville problems with transmission conditions and spectral-parameters in two boundary conditions.A self-adjoint linear operator A is defined in Hilbert space H such that the eigenvalues and eigenfunctions of such a problem are transformed into those of operator A.Furthermore,The completeness of eigensysterm of new operator A is studied for above problem.

关 键 词：谱参数 转换条件 特征值 特征函数系 完备性 

分 类 号：O175.3[理学—数学]