| 具有周期实系数的2n阶微分算子的谱间隙 |
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| 引用本文： | 张鹏军.具有周期实系数的2n阶微分算子的谱间隙[J].肇庆学院学报,2014(5):1-4. |
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| 作者姓名： | 张鹏军 |
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| 作者单位： | [1]内蒙古工业大学理学院,内蒙古呼和浩特010051; [2]肇庆学院数学与统计学院,广东肇庆526061 |
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| 基金项目： | 国家自然科学基金资助项目（11171295） |
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| 摘 要： | 研究了具有周期实系数2n阶对称微分算子的谱间隙,得出其间隙是由一些开区间构成的,并给出了这些间隙长度的一个上界.
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| 关 键 词： | 自伴微分算子 谱 本质谱 间隙 |
The Gaps in the Spectrum of 2n -th Order Differential Operators with Periodic Real Coefficients |
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| ZHANG Pengjun.The Gaps in the Spectrum of 2n -th Order Differential Operators with Periodic Real Coefficients[J].Journal of Zhaoqing University (Bimonthly),2014(5):1-4. |
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| Authors: | ZHANG Pengjun |
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| Institution: | ZHANG Pengjun (1. College of Science, Inner Mongolia University of Technology, Hob.hot ,Mongolia 010051, China; 2. School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, Guangdong 526061, China) |
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| Abstract: | With the gaps in the spectrum of symmetric differential operators of 2n -th order with periodic real coefficients being considered, it is obtained that their gaps in the spectrum consist of some open intervals in the real axis, and the upper bound about the length of gaps is given. |
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| Keywords: | self-adjoint differential operator spectrum essential spectrum gap |
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