摘要
本文研究了２ｎ阶实系数Ｅｕｌｅｒ微分算式生成的对称微分算子，得到了自伴Ｅｕｌｅｒ微分算子的谱是离散的充分必要条件．
In this paper, 2nth order symmetric differential expressions with real valued coefficients are considered. Some results concerning the discreteness of spectrum of associated operators are obtained. Especially, the necessary and sufficient conditions are given which ensure that the spectrum of differential operators is discrete.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2001年第1期95-102,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(19871037)
校基金资助
关键词
Euler微分算子
自伴微分算子
离散谱
本质谱
Euler differential operator
Self-adjoint operator
Discrete spectrum
Essential spectrum
