新的不动点定理及应用  

New Fixed Point Theorems and Applications

作　　者：刘易成[1] 李志祥[1] 

机构地区：[1]国防科学技术大学理学院数学与系统科学系,长沙410073

出　　处：《数学学报（中文版）》2006年第5期1067-1074,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果．应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果．推广了已有的结果．Several fixed point theorems for contraction type mapping are obtained in this paper, which generalize and improve the corresponding results in [1-5]. As an application, some existence results of positive almost periodic solutions for delay integral equations are obtained, which generalize the existing results.

关 键 词：不动点定理 概周期解 时滞积分方程 

分 类 号：O175.12[理学—数学]