GLOBAL EXISTENCE FOR SEMILINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY  

作　　者：Wang Lianglong Wang Zhicheng 

机构地区：[1]School of Math. and Comput. Sciences, Anhui University, Hefei 230039 [2]Dept. of Applied Math., Hunan University, Changsha 410082

出　　处：《Annals of Differential Equations》2007年第4期499-504,共6页微分方程年刊（英文版）

基　　金：NNSF of China (No.10271044);NSF of Anhui Province (070416225,2003kj005zd);Talent Foundation of Anhui Province (05025104);Innovation Group of Anhui University

摘　　要：This paper is concerned with the global existence of solutions for abstract retarded functional differential equations （RFDEs） with infinite delay, via a fixed point approach. Some sufficient conditions are established under which the existence of a globally mild solution are obtained by using Leray-Schauder.This paper is concerned with the global existence of solutions for abstract retarded functional differential equations （RFDEs） with infinite delay, via a fixed point approach. Some sufficient conditions are established under which the existence of a globally mild solution are obtained by using Leray-Schauder.

关 键 词：abstract Cauchy problem evolution system RFDEs with infinite delay mild solutions global existence compactness condition 

分 类 号：O17[理学—数学]