两类自共轭微分算子谱的离散性  

The Discrete Spectrum of Two Classes of Self-adjoint Differential Operators

作　　者：王婧 郝晓玲[1] 孙炯[1] WANG Jing;HAO Xiao-ling;SUN Jiong(School of Mathematics Sciences, Inner Mongolia University, Hohhot 010021, China)

机构地区：[1]内蒙古大学数学科学学院

出　　处：《数学的实践与认识》2018年第10期196-202,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11561050,11401325)

摘　　要：研究了两类对称微分算式生成的微分算子的谱的离散性．首先给出了一类三项四阶自共轭微分算子谱的离散性的充要条件．进而讨论了一类高阶自共轭微分算子的谱的离散性．In this paper, we study the discrete spectrum of two classes differential operators generated by the self-adjoint differential operators. First of all, we obtain the necessary and sufficient conditions for the spectrum of three-term and fourth order self-adjoint differential operator to be discrete. Further more, we obtain the discreteness of the spectrum for high order self-adjoint differential operators.

关 键 词：对称微分算子 势函数 自共轭算子 离散谱 

分 类 号：O175.3[理学—数学]