一类自伴微分算子谱的离散性的充分必要条件(英文)  

Sufficient and Necessary Conditions for Discreteness of Spectrum of a Class of Differential Operators

作　　者：杨秋霞[1] 

机构地区：[1]德州学院信息管理学院,山东德州253023

出　　处：《应用数学》2013年第4期863-869,共7页Mathematica Applicata

基　　金：Supported by the National Nature Science Foundation of China (10961019) of Inner Mongolia University;the Talent Introduction Project of Dezhou University

摘　　要：采用泛函分析与不等式渐近估计的方法,研究一类2n阶实系数Euler微分算式生成的对称微分算子,得到相应自伴微分算子的谱是离散的充分必要条件.We study the 2nth -order symmetric Euler differential expressions with real-valued coefficients and obtain a necessary and sufficient condition for the discreteness of the spectrum of Euler differential operators.

关 键 词：Euler微分表达式 微分算子 离散谱 本质谱 

分 类 号：O175.3[理学—数学]