摘要
本文在研究一类高阶微分算子谱的离散性的基础上研究了2n阶实系数Euler微分算式生成的对称微分算子,进一步完善了自伴Euler微分算子的谱是离散的充分必要条件.
In this paper, the 2nd order symmetric Euler differential expressions with real-valued coefficients are considered. Some results concerning the discreteness of spectrum of Euler differential operators is obtained. Especially, the necessary and sufficient conditions are given which ensure that the spectrum of Euler differential operators is discrete.
出处
《系统科学与数学》
CSCD
北大核心
2001年第4期497-506,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金