| 具有负指数系数的微分算子的谱 |
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| 引用本文： | 郭占宽,孙炯.具有负指数系数的微分算子的谱[J].数学学报,2003,46(4):639-648. |
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| 作者姓名： | 郭占宽 孙炯 |
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| 作者单位： | 1. 炮兵指挥学院基础部,宣化,075100
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) |
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| 摘 要： | 本文研究了形如∑_n~k=o~((α_k)(e~((α_k)x))D~k(a_k≤0)及∑_k~n=o((-1)~k)α_(2k)D~ke~(α_(2k)x)D~k+i/2∑_k~n=o(α_(2k+1))(D~ke~((α_(2k+1))x)D~(k+1)+D~(k+1)e~((α_(2k+1)x)D~k)(α_k≤0)的算式的谱问题,分别得到了它们的本质谱或本质谱所在的范围.
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| 关 键 词： | 常微分算子 特殊微分算式 本质谱 |
| 文章编号： | 0583-1431(2003)04-0639-10 |
| 修稿时间： | 2001年5月21日 |
On the Spectra of Some Ordinary Differential Operators with Negative Exponential Coefficients |
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| Zhan Kuan GUO.On the Spectra of Some Ordinary Differential Operators with Negative Exponential Coefficients[J].Acta Mathematica Sinica,2003,46(4):639-648. |
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| Authors: | Zhan Kuan GUO |
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| Institution: | Zhan Kuan GUO (Department of Basic Science, Artillery Command Academy, Xuanhua 075100, P. R. China)
Jiong SUN (Department of Mathematics, NeiMongol University, Hohhot 010021, P. R. China) |
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| Abstract: | In this paper, the spectra of some ordinary differential operators the forms of are discussed, and the essential spectra of these
operators are obtained. |
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| Keywords: | Ordinary differential operator Special ordinary differential expression Essential spectrum |
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