一类具指数系数的对称微分算子谱的离散性  

On the Discrete Spectrum of a Class of Symmetric Differential Operators with Exponential Coefficients

作　　者：索建青[1] 王万义[1] 周立广[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《数学的实践与认识》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)

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.

关 键 词：自伴微分算子 离散谱 本质谱 

分 类 号：O175.3[理学—数学]