| 一类具有幂指积系数的微分算子的离散谱 |
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| 引用本文： | 邱洁,;王万义,;彭艳伟. 一类具有幂指积系数的微分算子的离散谱[J]. 纺织高校基础科学学报, 2014, 0(2): 147-152 |
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| 作者姓名： | 邱洁, 王万义, 彭艳伟 |
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| 作者单位： | [1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022; [2]包头医学院数学教研室,内蒙古包头014040 |
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| 基金项目： | 国家自然科学基金资助项目（10961019） |
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| 摘 要： | 利用算子的直和分解原理及二次型比较的方法研究了一类系数中含有幂函数与指数函数乘积的2n阶实系数微分算子谱的离散性.给出了其谱是离散的一些充分条件.利用这些充分条件可以判别微分算子谱的离散性.
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| 关 键 词： | 微分算子 离散谱 本质谱 |
The discrete spectrum of a class of differential operators with product of power function and exponential function |
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| QIU Jie;WANG Wan-yi;PENG Yan-wei. The discrete spectrum of a class of differential operators with product of power function and exponential function[J]. Basic Sciences Journal of Textile Universities, 2014, 0(2): 147-152 |
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| Authors: | QIU Jie WANG Wan-yi PENG Yan-wei |
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| Affiliation: | QIU Jie ,WANG Wan-yi ,PENG Yan-wei (1. School of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022, China 2. Maths Staff Room,Baotao Medical College,Baotou, Inner Mongolia 014040, China) |
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| Abstract: | Using the method of direct sum decomposition and estimation of the corresponding quadratic forms,the discrete spectrum of a class of 2n-th order differential operators are considered,whose coefficients contain product of power function and exponential function. Some sufficient conditions are given which ensure that the spectrum of differential operators is discrete. And the discreteness of spectrum of some differential operators can be easily judged. |
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| Keywords: | differential operator discrete spectrum essential spectrum |
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