| 广义边界条件下球介质迁移算子的谱 |
| |
| 引用本文： | 王海燕 阳名球. 广义边界条件下球介质迁移算子的谱[J]. 东南大学学报(自然科学版), 1989, 19(5): 9-19 |
| |
| 作者姓名： | 王海燕 阳名球 |
| |
| 作者单位： | 东南大学数学力学系，中国原子能科学研究院，东南大学数学力学系 |
| |
| 摘 要： |
|
| 关 键 词： | 迁移算子 本质谱 占优本征值 |
On the Spectrum of a Spherical Symmetric Transport Operator with Generalized Boundary Conditions |
| |
| Wang Haiyan Yang Mingzhu Wang Wenwei. On the Spectrum of a Spherical Symmetric Transport Operator with Generalized Boundary Conditions[J]. Journal of Southeast University(Natural Science Edition), 1989, 19(5): 9-19 |
| |
| Authors: | Wang Haiyan Yang Mingzhu Wang Wenwei |
| |
| Affiliation: | Department of Mathematics and Mechanics |
| |
| Abstract: | In this paper, we use the operator theory to prove the existence and uniqueness of the positive solution of partical transport equation, which is isotropic non-homogeneous spherically symmetric with continuous energy and generalized boundary condition arising in the transport theory. The spectrum of the transport operator is investigated and the sufficient conditions of the existence of the isolated eigenvalue are found. The dominate eigenvalue is proved to be monotonous with the general reflective function. |
| |
| Keywords: | transport operator/essential spectrum dominate eigenvalue. |
| 本文献已被 CNKI 维普 等数据库收录！ |
