一类具有转换条件且两端边界条件带谱参数的J-自伴算子  

A Class of J-selfadjoint Operators with Spectral-parameters and Conversion Conditions in Two Boundary Conditions

作　　者：罗佩芳 黄赞 LUO Pei-fang;HUANG Zan(Foundation Department,Guangzhou Maritime University,Guangzhou Guangdong 510725;School of Naval Architecture and Ocean Engineering,Guangzhou Maritime University,Guangzhou Guangdong 510725)

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：《广东技术师范大学学报》2020年第3期44-48,共5页Journal of Guangdong Polytechnic Normal University

基　　金：广东省科技计划项目(2019A05052001);广东省教育厅质量工程项目(2019-89);广东省教育厅高等教育教学改革项目(2019-456);广州市教育科学规划项目(201911941);广州航海学院“创新强校”项目(G320402,G320102,G320405,201911106018)。

摘　　要：本文研究一类正则两端带谱参数和转换条件 Sturm-Liouville (S-L) 问题.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J-自伴算子A的特征问题.同时,探究上述问题新算子A自共轭性.In this paper,the regular Sturm-Liouville (S-L) problem with transmission conditions and spectral-parameter in two boundary conditions is studied.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.Meanwhile,the self-conjugation of the new operator A is also studied.

关 键 词：谱参数 转换条件 -自伴算子 权函数 自共轭性 

分 类 号：O175.3[理学—数学]