单项2N阶矩阵系数微分算子谱的离散性  

The Discreteness of the Spectrum of 2N-th Order One Term Vector Differential Operators

作　　者：钱志祥 QIAN Zhixiang(Department of Basic Education,Guangdong Polytechnic College,Zhaoqing 526100,Guangdong)

机构地区：[1]广东理工学院基础教学部

出　　处：《四川师范大学学报（自然科学版）》2019年第5期639-646,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：广东省教育厅基金(2017KTSCX204)

摘　　要：研究单项2N阶矩阵系数微分算式生成的向量微分算子谱的离散性,得到这类算子分别在自伴和J-自伴情形下的谱是离散的充分条件.The discreteness of the spectrum of vector differential operators generated by the 2 N-th order one term differential expression with matrix coefficients is considered and some sufficient conditions are obtained for ensuring the discreteness of the spectrum of these operators in the cases of self-adjoint and J-self-adjoint,respectively.

关 键 词：自伴向量微分算子 J-自伴向量微分算子 离散谱 本质谱 

分 类 号：O175.3[理学—数学]