半线性微分方程的概自守与伪概自守解(英文)  

Almost Automorphic and Pseudo Almost Automorphic Solutions of Semilinear Differential Equations

作　　者：刘敬怀[1] 宋晓秋[1] 陆凤玲[1] 

机构地区：[1]中国矿业大学理学院,徐州221008

出　　处：《应用泛函分析学报》2009年第4期294-300,共7页Acta Analysis Functionalis Applicata

基　　金：Supported by the National Natural Science Foundation of China(10671205);The Science and Technology Foundation of China University of Mining and Technology(OK060156)

摘　　要：在Banach空间中,利用发展系统的算子半群理论和Banach压缩原理,在半线性微分方程x′(t)=A(t)x(t)+f(t,x(t))满足一定的条件下,证明了其概自守与伪概自守mild解的存在性与唯一性.By using some new analysis techniques, we give a simple proof for a theorem due to Shimoji and Takahashi.

关 键 词：概自守 伪概自守 半线性微分方程 发展系统 指数稳定 

分 类 号：O177.91[理学—数学]