| 一类具幂指积系数微分算子谱的离散性 |
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| 引用本文： | 周立广,王万义.一类具幂指积系数微分算子谱的离散性[J].数学物理学报(A辑),2014,34(3):573-580. |
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| 作者姓名： | 周立广 王万义 |
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| 作者单位： | 1.内蒙古大学数学科学学院 呼和浩特 |010021|
2.内蒙古工业大学理学院 呼和浩特 |010051 |
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| 基金项目： | 国家自然科学基金(11361039)资助 |
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| 摘 要： | 应用算子直和分解法和二次型比较的方法,研究了一类具幂指积系数微分算子谱的离散性,得到了该类微分算子的谱是离散的一些充分条件.
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| 关 键 词： | 微分算子 离散谱 直和分解. |
| 收稿时间： | 2012-08-07 |
| 修稿时间： | 2013-10-21 |
The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions |
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| ZHOU Li-Guang,WANG Wan-Yi.The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions[J].Acta Mathematica Scientia,2014,34(3):573-580. |
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| Authors: | ZHOU Li-Guang WANG Wan-Yi |
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| Institution: | 1.School of Mathematical Sciences, Inner Mongolia University, |Hohhot 010021;
2.College of Sciences of Inner Mongolia University of Technology, Hohhot 010051 |
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| Abstract: | The discrete spectrum of a class of differential operators with coefficients of power-exponential product functions is
discussed. Some sufficient conditions for considered differential operators are obtained to ensure that the spectrum is discrete with direct sum decomposition method of operators and comparison method of the corresponding quadratic forms. |
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| Keywords: | Differential operatorszz Discrete spectrumzz Direct sum decompositionzz |
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