摘要
研究了具指数函数系数的2n阶实系数微分算式生成的对称微分算子,利用算子的直和分解法及不等式估计得到此类微分算子谱是离散的充分条件.
In this paper, 2nth order symmetric differential expressions with exponential coefficients and real valued coefficients are considered. A sufficient condition is given which ensure that the spectrum of differential operators is discrete by decomposition methods of direct sum of operators and estimate of inequality.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第5期225-231,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10961019)
关键词
自伴微分算子
离散谱
本质谱
self-adjoint operator
essential spectrum
discrete spectrum