一类标签细胞种群系统的适定性与稳定性(英文)  

The Well-posedness and Stability of a Labelled Cell Populations System

作　　者：汪文珑[1] 

机构地区：[1]绍兴文理学院元培学院,浙江绍兴312000

出　　处：《绍兴文理学院学报》2010年第9期1-7,共7页Journal of Shaoxing University

基　　金：supported by the Natural Science Foundation of China(10871226)

摘　　要：研究一类标签细胞系统的解,使用泛函分析方法,特别是Banach上的线性算子理论和半群理论,证明了该系统解的适定性、线性稳定性和指数稳定性.In this paper,the solution of a labelled cell populations system is investigated. By means of functional analysis,especially, the linear operator theory and the semigroup theory on Banach space, the paper endeavors to prove the well - posedness,linear stability and exponential stability of the solution to the system.

关 键 词：适定性 稳定性 细胞种群系统 半群 耗散算子 

分 类 号：O177.92[理学—数学]