板几何中一类具周期边界条件迁移算子的谱分析

摘要

分析了板几何中一类与时间有关的具周期边界条件的线性迁移方程一些谱的性质,证明了:这类迁移算子的谱在区域中仅由有限个具有限代数重数的离散本征值组成,并证明了该迁移算子的占优本征值的存在性等结果.%The objective of this paper is to analyse some spectral properties of transport operator with anisotropic one- energy inhomogeneous slab geometry in periodic boundary condition. On the fundament of ref[3] It is proved the spectrum of the transport operator only consist of finite isolated eigenvalue which have a finite algebraic multiplicity in trip, and to prove the existence of the dominant eigenvalue.