具总转变规则的Rotenberg模型的生成半群问题  

The Problem of Generating Semigroups of Rotenberg Model with Aggregate Transition Rule

作　　者：凌军 王胜华[2] LING Jun;WANG Shenghua(Department of Mathematics,Nanchang University,Nanchang 330031;Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]南昌大学数学系 [2]上饶师范学院

出　　处：《应用泛函分析学报》2018年第3期269-278,共10页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11461055)

摘　　要：本文在L^1空间上,研究了种群细胞中一类具总转变规则的Rotenberg模型,讨论了这类模型相应的迁移算子生成正C_0半群,并且证明了该正C_0半群是不可约的等结果.This paper is to research the Rotenberg model of cell population with aggregate transition rule in L1 space. The corresponding transport operators are discussed to generate positive co semigroups, and it is proved that the positive co semigroups are irreducible and so on.

关 键 词：Rotenberg模型 具总转变规则 迁移算子 正C0半群 不可约半群 

分 类 号：O177.91[理学—数学]