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一类具指数系数的对称微分算子谱是离散的充分条件

A SUFFICIENT CONDITION FOR DISCRETENESS OF SPECTRUM FOR A CLASS OF SYMMETRIC DIFFERENTIAL OPERATORS WITH EXPONENTIAL COEFFICIENTS
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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,得到了此类微分算子的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 ensures that the spectrum of differential operators is discrete.
作者 索建青 王万义 周立广
机构地区 内蒙古大学数学科学学院
出处 《系统科学与数学》 CSCD 北大核心 2013年第2期236-245,共10页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助项目(10961019) 内蒙古大学高层次人才引进科研项目(125131)资助
关键词 自共轭微分算子 离散谱 本质谱 Self-adjoint operator, discrete spectrum, essential spectrum.
分类号 O175.3 [理学—基础数学]
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参考文献17

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二级参考文献19

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系统科学与数学
2013年 第2期

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