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.
出处
《应用泛函分析学报》
CSCD
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)
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
a family of infinitely many nonexpansive mappings
W-mapping
common fixed point
Dotson's lemma