| 复系数2n阶微分算子的谱 |
| |
| 引用本文： | 王忠.复系数2n阶微分算子的谱[J].数学学报,2000,43(5):787-796. |
| |
| 作者姓名： | 王忠 |
| |
| 作者单位： | 西江大学数学与计算机系广东肇庆 526061 |
| |
| 基金项目： | 国家自然科学基金资助项目(19871037);内蒙自然科学基金资助项目;校基金资助项目 |
| |
| 摘 要： | 本文研究了复系数２ｎ阶微分算式（２．１）生成的Ｊ－自伴微分算子谱，对两类微分算子的本质谱，离散谱作了定性研究，得到了所生成微分算子本质谱的存在范围，以及所生成微分算子的谱是离散的充分条件．
|
| 关 键 词： | J-自伴微分算子 本质谱 离散谱 |
| 文章编号： | 0583-1431(2000)05-0787-10 |
| 修稿时间： | 1997年6月2日 |
The Spectrum of 2nth Order Differential Operators with Complex Coefficients |
| |
| WANG Zhong.The Spectrum of 2nth Order Differential Operators with Complex Coefficients[J].Acta Mathematica Sinica,2000,43(5):787-796. |
| |
| Authors: | WANG Zhong |
| |
| Institution: | WANG Zhong (Department of Mathematics and Computers, Xijiang University, Zhaoqing 526061, P. R. China) |
| |
| Abstract: | In this paper, we discussed the spectrum of J-selfadjoint operators that are extended by 2nth order differential expressions (2.1) with complex coefficients. We obtained that the essential spectrum of J-selfadjoint operators is contained in the set A when the coefficients of (2.1) satisfied conditions in theorem 3.2. Finally we gave some sufficient conditions for the discreteness spectrum of J-selfadjoint operators that are extended by (2.1) and Sturm-Liouville differential operations with complex coefficients. |
| |
| Keywords: | J-selfadjoint differential operator Essential spectrum Discrete spectrum |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
