脉冲中立泛函微分方程概周期解的存在性(英文)  

Almost Periodic Solutions for Impulsive Neutral Functional Differential Systems

作　　者：王奇[1] 陆地成 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2015年第1期41-46,共6页Mathematica Applicata

基　　金：Supported by the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028);the Anhui Provincial NSF(1408085MA02,1208085MA13,1308085MA01,1308085QA15);the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001);the 211 Project of Anhui University(02303129,02303303-33030011,0230390239020011,KYXL2012004,XJYJXKC04);the NNSF of China(11271371,11301004)

摘　　要：本文讨论一类脉冲中立型泛函微分方程的概周期解问题.利用Banach压缩映射原理和算子半群理论得到其概周期解的存在唯一性定理.In this paper, by means of Banach contraction mapping principle and semigroup theory, some sufficient conditions for the existence and uniqueness of almost periodic solutions for impulsive neutral differential system are obtained.

关 键 词：脉冲中立泛函微分方程 压缩映射原理 概周期解 存在唯一性 

分 类 号：O175.7[理学—数学]