| L^2[a,\infty)上高阶 Sturm-Liouville 算子下半有界性与谱 |
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| 引用本文： | 杨传富,黄振友,杨孝平.L^2[a,\infty)上高阶 Sturm-Liouville 算子下半有界性与谱[J].系统科学与数学,2007,27(4):633-640. |
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| 作者姓名： | 杨传富 黄振友 杨孝平 |
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| 作者单位： | 杨传富（南京理工大学应用数学系,南京,210094）;黄振友（南京理工大学应用数学系,南京,210094）;杨孝平（南京理工大学应用数学系,南京,210094） |
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| 摘 要： | 采用泛函分析与不等式渐近估计的方法,根据微分算子系数的特点,研究了高阶Sturm-Liouville微分算子下半有界性并得到其为下半有界的一些判定准则,同时给出了其下界的估计.这些结果对研究微分算子的谱是有益的.
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| 关 键 词： | 高阶Sturm-Liouville微分算子 下半有界性 本质谱 |
| 收稿时间： | 2003-7-30 |
| 修稿时间： | 2003年7月30日 |
Boundedness from Below and Spectrum of Hihger OrderSturm-Liouville Operators in \mbox{\boldmath $ L^2[a,\infty)$ |
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| Yang Chuanfu,Huang Zhenyou,Yang Xiaoping.Boundedness from Below and Spectrum of Hihger OrderSturm-Liouville Operators in \mbox{\boldmath $ L^2[a,\infty)$[J].Journal of Systems Science and Mathematical Sciences,2007,27(4):633-640. |
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| Authors: | Yang Chuanfu Huang Zhenyou Yang Xiaoping |
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| Institution: | Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094 |
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| Abstract: | In this paper, using the techniques of functional analysis and asymptotic estimation with some inequalities, according to the characteristic of coefficients,the higher order Sturm-Liouville differential operator bounded from below is considered. Some criteria for a differential operator to be bounded from below and estimation of its bound from below are obtained. These results are useful for locating the spectrum of differential operators. |
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| Keywords: | Higher order Sturm-Liouville differential operator boundedness from below essential spectrum |
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