| 一类具指数系数的对称微分算子的谱及亏指数 |
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| 引用本文： | 郭占宽,孙炯. 一类具指数系数的对称微分算子的谱及亏指数[J]. 系统科学与数学, 2003, 23(2): 182-189 |
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| 作者姓名： | 郭占宽 孙炯 |
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| 作者单位： | 1. 宣化炮兵指挥学院基础部,河北,宣化,075100;内蒙古大学数学系,呼和浩特,010021
2. 内蒙古大学数学系,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金(19871037)资助课题. |
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| 摘 要： | 就一类具指数函数系数的高阶对称微分算子得到了谱是离散的一些充分条件,并给出了完全可达的亏指数域.
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| 关 键 词： | 常微分算子 离散谱 本质谱 亏指数. |
| 修稿时间： | 2001-03-29 |
ON THE SPECTRUM AND DEFICIENCY INDICES OF A CLASS OF SYMMETRIC ORDINARY DIFFERENTIAL OPERATORS WITH EXPONENTIAL COEFFICIENTS |
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| Zhan Kuan GUO. ON THE SPECTRUM AND DEFICIENCY INDICES OF A CLASS OF SYMMETRIC ORDINARY DIFFERENTIAL OPERATORS WITH EXPONENTIAL COEFFICIENTS[J]. Journal of Systems Science and Mathematical Sciences, 2003, 23(2): 182-189 |
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| Authors: | Zhan Kuan GUO |
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| Affiliation: | (1)Department of Basic Science, Artillery Command Academy, Xuanhua Hebei 075100,P.R.China,Department of Mathematics, Inner Mongolia University, Hohhot 010021,P.R.China;(2)Department of Mathematics, Inner Mongolia University, Hohhot 010021,P.R.China |
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| Abstract: | In this paper, we study the discrete spectrum and the deficiency indices of a class of symmetric ordinary differential operators, obtain some sufficient conditions for the spectrum to be discrete and give the field of the deficiency indices. |
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| Keywords: | Ordinary differential operator discrete spectrum essential spectrum deficiency index. |
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