一类具幂指积系数微分算子谱的离散性

数学物理学报 ›› 2014, Vol. 34 ›› Issue (3): 573-580.

一类具幂指积系数微分算子谱的离散性

周立广^1,2|王万义¹

1.内蒙古大学数学科学学院呼和浩特 |010021|
2.内蒙古工业大学理学院呼和浩特 |010051

收稿日期:2012-08-07 修回日期:2013-10-21 出版日期:2014-06-25 发布日期:2014-06-25
基金资助:
国家自然科学基金(11361039)资助

The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions

ZHOU Li-Guang^1,2, WANG Wan-Yi¹

1.School of Mathematical Sciences, Inner Mongolia University, |Hohhot 010021;
2.College of Sciences of Inner Mongolia University of Technology, Hohhot 010051

Received:2012-08-07 Revised:2013-10-21 Online:2014-06-25 Published:2014-06-25
Supported by:
国家自然科学基金(11361039)资助

摘要/Abstract

摘要：

应用算子直和分解法和二次型比较的方法, 研究了一类具幂指积系数微分算子谱的离散性, 得到了该类微分算子的谱是离散的一些充分条件.

关键词: 微分算子, 离散谱, 直和分解

Abstract:

The discrete spectrum of a class of differential operators with coefficients of power-exponential product functions is
discussed. Some sufficient conditions for considered differential operators are obtained to ensure that the spectrum is discrete with direct sum decomposition method of operators and comparison method of the corresponding quadratic forms.

Key words: Differential operators, Discrete spectrum, Direct sum decomposition

中图分类号:

34L05

周立广, 王万义. 一类具幂指积系数微分算子谱的离散性[J]. 数学物理学报, 2014, 34(3): 573-580.

ZHOU Li-Guang, WANG Wan-Yi. The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions[J]. Acta mathematica scientia,Series A, 2014, 34(3): 573-580.

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