| 具有算子系数的微分算子新的Ambarzumyan定理(英文) |
| |
| 引用本文： | 杨传富,王丰.具有算子系数的微分算子新的Ambarzumyan定理(英文)[J].数学进展,2011(6). |
| |
| 作者姓名： | 杨传富 王丰 |
| |
| 作者单位： | 南京理工大学应用数学系; |
| |
| 基金项目： | supported by NSFC(No11171152); Natural Science Foundation of Jiangsu Province of China(NoBK 2010489); the Outstanding Plan-Zijin Star Foundation of NUST(NoAB 41366); NUST Research Funding(NoAE 88787) |
| |
| 摘 要： | 有限区间上具有Neumann边界条件的Sturm-Liouville问题的谱可以唯一确定势函数,这就是经典的Ambarzumyan定理.本文将经典的Ambarzumyan定理推广到有限区间上具有算子系数的二阶与四阶微分算子中.
|
| 关 键 词： | 逆谱问题 Ambarzumyan型定理 算子系数微分算子 |
New Ambarzumyan's Theorems for Differential Operators With Operator Coefficient |
| |
| YANG Chuanfu,WANG Feng.New Ambarzumyan's Theorems for Differential Operators With Operator Coefficient[J].Advances in Mathematics,2011(6). |
| |
| Authors: | YANG Chuanfu WANG Feng |
| |
| Institution: | YANG Chuanfu~*,WANG Feng~(**) (Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing,Jiangsu,210094,P.R.China) |
| |
| Abstract: | Ambarzumyan's theorem describes the exceptional case in which the spectrum of a single Sturm-Liouville problem with the Neumann boundary conditions on a finite interval uniquely determines the potential.In this paper,the result of Ambarzumyan is extended to second order and fourth order differential operators with operator coefficient in a finite interval. |
| |
| Keywords: | inverse spectral problem Ambarzumyan's theorem differential operator with operator coefficient |
| 本文献已被 CNKI 等数据库收录！ |
