具有负指数系数的微分算子的谱

郭占宽;孙炯

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 639-648.

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 639-648. DOI: 10.12386/A2003sxxb0086
论文

具有负指数系数的微分算子的谱

    郭占宽;孙炯
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On the Spectra of Some Ordinary Differential Operators with Negative Exponential Coefficients

    Zhan Kuan GUO(1),Jiong SUN(2)
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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.

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.

关键词

特殊微分算式 / 常微分算子 / 本质谱

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郭占宽;孙炯. 具有负指数系数的微分算子的谱. 数学学报, 2003, 46(4): 639-648 https://doi.org/10.12386/A2003sxxb0086
Zhan Kuan GUO(1),Jiong SUN(2). On the Spectra of Some Ordinary Differential Operators with Negative Exponential Coefficients. Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 639-648 https://doi.org/10.12386/A2003sxxb0086

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