抽象泛函微分方程的权伪概周期解(英文)  

Weighted Pseudo Almost Periodic Solutions for Abstract Functional Differential Equations

作　　者：王奇[1] 王志杰[1] 丁敏敏[1] 张洪彦[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《应用数学》2011年第3期587-592,共6页Mathematica Applicata

基　　金：Supported by the Anhui Provincial NSF(090416237);the Doctoral Program of Ministry of Education of China(20103401120002);the NNSF(10971229);the 211 Project of Anhui University(02303129,KJTD002B);the Foundation of Anhui Education Bureau of China(KJ2009A49,KJ2009AZ005)

摘　　要：本文利用算子半群理论和Banach不动点定理研究了一类具非局部条件的抽象泛函微分方程权伪概周期解的存在唯一性,所得结论拓展了已有结果.In this paper,by using the theory of semigroups of operators to evolution families and Banach fixed point theorem, we prove the existence and uniqueness of the weighted pseudo almost periodic mild solution of a class of abstract functional differential equation with nonlocal conditions in Banach spaces, which extend some known results.

关 键 词：权伪概周期解 半线性演化方程 存在唯一性 非局部条件 

分 类 号：O175.1[理学—数学]