| 一类高阶自共轭微分算子谱的定量分析 |
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| 引用本文： | 钱志祥. 一类高阶自共轭微分算子谱的定量分析[J]. 长沙大学学报, 2014, 0(2): 11-14 |
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| 作者姓名： | 钱志祥 |
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| 作者单位： | 肇庆科技职业技术学院基础教学部,广东肇庆526100 |
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| 基金项目： | 广东省高层次人才培养项目（批准号：9251064101000015） |
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| 摘 要： | 定量研究了一类高阶自共轭微分算子的谱,得到了这类算子的本质谱充满了正实轴,而在负半轴上只有离散谱.
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| 关 键 词： | 微分表达式 对称微分算子 自共轭微分算子 离散谱 本质谱 谱分析 |
Quantitative Analysis of the Spectrum of a Class of High Order Self Conjugate Differential Operators |
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| QIAN Zhixiang. Quantitative Analysis of the Spectrum of a Class of High Order Self Conjugate Differential Operators[J]. Journal of Changsha University, 2014, 0(2): 11-14 |
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| Authors: | QIAN Zhixiang |
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| Affiliation: | QIAN Zhixiang (The Department of Basic Education,Zhaoqing Science and Technology Polytechnic, Zhaoqing Guangdong 526100, China) |
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| Abstract: | The paper quantitatively analyzes the spectrum of a class of high order self conjugate differential operators. It is indicated that their essential spectrum covers the entire positive semi - axis λ ≥ 0 and there is only discrete spectrum in the negative semi - axis. |
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| Keywords: | differential expression symmetric differential operator self conjugate differential operator discrete spectrum essential spectrum spectral analysis |
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