一类系数中带有幂函数和指数函数的对称微分算子的本质谱  

The Essential Spectrum of a Class of Symmetric Ordinary Differential Operators with Coefficients Containing Power Function and Exponential Function

作　　者：玉林[1] 王万义[2] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古包头医学院,内蒙古包头014040

出　　处：《数学的实践与认识》2015年第9期224-229,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361039);国家自然科学基金(11261037);内蒙古自然科学基金项目(2013MS0116)

摘　　要：研究了一类系数中带有幂函数和指数函数的高阶对称微分算子,给出常系数下此类微分算子的本质谱的分布,并得到对其系数加满足一定条件的相关摄动后本质谱不改变的结论.In this paper, we study a class of higher-order symmetry differential operators with coefficients which contain power function and exponential function. In the case of constant coefficients the distribution of essential spectrum is obtained, and then the conclusions that the essential spectrum does not change in the case of constant coefficients added perturbations which meet certain conditions are also obtained.

关 键 词：自伴微分算子 本质谱 摄动 

分 类 号：O175.3[理学—数学]