种群细胞中一类迁移算子的谱分析  

Spectral Analysis of a Transport Operators in Cell Population

作　　者：王胜华[1] 贾善德[1] 袁邓彬[1] 

机构地区：[1]上饶师范学院江西,上饶334001

出　　处：《数学物理学报（A辑）》2014年第6期1592-1598,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11461055);江西省自然科学基金资助项目(20132BAB201002);江西省教育厅科技项目(GJJ13706)资助

摘　　要：在L^p(1≤p<+∞)空间上,研究了种群细胞中一类具扰动项的L-R模型的迁移方程,证明了这类模型相应的迁移算子产生的正C_0半群是紧的,从而得到了该迁移算子的谱仅由可数个具有限代数重数的离散本征值组成,且-∞是唯一可能的聚点等结果.This paper is to research the transport equations of an age structured proliferating cell populations in LP-space （1 ≤ p 〈 ＋∞）. It is to prove that the Co semigroups by the transport operators is compact, and it is to obtain that the spectrum of the transport operators is countable and consists of, at most, isolate eigenvalues with finite algebraic multiplicity with -∞ as the only possible limit point.

关 键 词：种群细胞 具扰动项的L-R模型 迁移方程 紧半群 谱分析 

分 类 号：O177.2[理学—数学]