| 具有周期复系数的二阶非自伴微分算子的谱 |
| |
| 引用本文： | 项楠,王忠. 具有周期复系数的二阶非自伴微分算子的谱[J]. 内蒙古大学学报(自然科学版), 2012, 43(5): 472-476 |
| |
| 作者姓名： | 项楠 王忠 |
| |
| 作者单位： | 1. 内蒙古工业大学理学院,呼和浩特,010051
2. 肇庆学院数学学院,广东肇庆,526061 |
| |
| 基金项目： | 国家自然科学基金资助项目(11171295) |
| |
| 摘 要： | 主要讨论具有周期复系数的二阶非自伴微分算子的谱,通过分析二阶周期复系数微分方程的解的结构,给出了由周期复系数的二阶微分算式所生成的J-自伴算子的谱是纯连续谱.
|
| 关 键 词： | 二阶微分算子 J-自伴 谱 连续谱 周期系数 |
Spectra of Non-selfadjoint Differential Operators with Periodic Coefficients |
| |
| XIANG Nan , WANG Zhong. Spectra of Non-selfadjoint Differential Operators with Periodic Coefficients[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2012, 43(5): 472-476 |
| |
| Authors: | XIANG Nan WANG Zhong |
| |
| Affiliation: | 1.College of Science,Inner Mongolia University of Technology,Hohhot 010051,China; 2.Department of Mathematics,Zhaoqing University,Zhaoqing 526061,China) |
| |
| Abstract: | The spectra of periodic complex coefficients of the second-order non-self-adjoint differential operator were considered.Through the analysis of a solution in the form of the second order self-adjoint operator,the fact that its spectrum is purely continuous was proven. |
| |
| Keywords: | second-order differential operator J-selfadjoint spectrum continuous spectrum periodic coefficient |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
