种群细胞增生中一类Rotenberg模型研究  

Research of a Rotenberg Model in Proliferating Cell Population

作　　者：王胜华[1] 吴军建[2] 

机构地区：[1]上饶师范学院数学与计算机学院,上饶334001 [2]南昌大学数学系,南昌330031

出　　处：《应用泛函分析学报》2014年第4期296-302,共7页Acta Analysis Functionalis Applicata

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

摘　　要：本文在L_p(1≤p<+∞)空间上,研究了种群细胞增生中一类具非光滑边界条件的ROtenberg模型,讨论了这类模型相应的迁移算子的谱分析,证明了该迁移算子的本征值的存在性,得到了该迁移算子的谱在某半平面上仅由有限个具有限代数重数的离散本征值组成等结果.The objective of this paper is to research Rotenberg moder of a proliferating cell popu- lation with unsmooth boundary conditions in LP-space （1≤p〈＋∞）. It is discussed the spectral analysis of corresponding transport operators for this moder. It is shown the existece of the eigen- value for the transport operators, so it is obtained that the spectrum of the transport operators only consisting of finitely isolate eigenvalues with finite algebraic multiplicities in the trip Г.

关 键 词：种群细胞 Rotenberg模型 非光滑边界条件 迁移算子 谱分析 

分 类 号：O177.2[理学—数学]