| 三个二阶微分算子积的自伴性 |
| |
| 引用本文： | 张新艳,王万义,杨秋霞.三个二阶微分算子积的自伴性[J].内蒙古师范大学学报(自然科学版),2007,36(1):35-42. |
| |
| 作者姓名： | 张新艳 王万义 杨秋霞 |
| |
| 作者单位： | 内蒙古师范大学数学科学学院，内蒙古师范大学数学科学学院，内蒙古师范大学数学科学学院 内蒙古呼和浩特010022，内蒙古呼和浩特010022，内蒙古呼和浩特010022，德州学院计算机系，山东德州250023 |
| |
| 基金项目： | 国家自然科学基金;内蒙古自然科学基金 |
| |
| 摘 要： | 利用自伴算子的基本理论及矩阵运算,讨论了由正则和奇异的二阶对称微分算式生成的微分算子的积算子的自伴性,得到了3个算子的积算子是自伴的充分必要条件.
|
| 关 键 词： | 对称微分算式 积算子 自伴算子 |
| 文章编号： | 1001-8735（8007）01-0035-08 |
| 收稿时间： | 2006-06-05 |
| 修稿时间： | 2006年6月5日 |
On Self-adjointness of the Product of Three Second-order Differential Operators |
| |
| ZHANG Xin-yan,WANG Wan-yi,YANG Qiu-xia.On Self-adjointness of the Product of Three Second-order Differential Operators[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2007,36(1):35-42. |
| |
| Authors: | ZHANG Xin-yan WANG Wan-yi YANG Qiu-xia |
| |
| Institution: | 1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China 2. Department of Computer Science, Dezhou University, Dezhou, Shandong 250023, China |
| |
| Abstract: | In this paper,the adjointness of the product of three differential operators were discussed by means of the construction theory of self-adjoint operators and matrix computation,and generated by a second order symmetric differential expression,including ordinary and singular two cases.Tenecessary and sufficient conditions which make the product operators being adjoint operators were also obtained. |
| |
| Keywords: | symmetric differential expression product operator self-adjoint operator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
