摘要
利用算子半群理论和Banach不动点定理研究了一类抽象泛函微分方程权伪概自守温和解的存在唯一性,所得结论拓展了已有结果.
In this paper,by using the theory of semigroups of operators and Banach fixed point theorem,the existence and uniqueness of weighted pseudo almost automorphic mild solutions to a class of abstract functional differential equation in Banach space are obtained under some suitable hypotheses,which extend some known results.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2015年第5期84-90,共7页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金资助项目(51374199)
中央高校基本科研业务费专项资金项目(2012LWB53)
湖北省自然科学基金资助项目(2014CFB629)
关键词
权伪概自守
抽象泛函微分方程
指数稳定
存在唯一性
weighted pseudo almost automorphic
abstract functional differential equation
exponentially stable
existence and uniqueness
