线性斜积半流指数渐近行为的平均定理  

Averaging Theorems for the Exponential Asymptotic Behaviors of Linear Skew-product Semiflows

作　　者：董夙慧 岳田[3] 吴媛媛 吴文欢 DONG Suhui;YUE Tian;WU Yuanyuan;WU Wenhuan(School of Information and Control Engineering,China University of Mining and Technology,Xuzhou 221008,Jiangsu;Xuzhou Financial and Economic School,Jiangsu Union Technical Institute,Xuzhou 221011,Jiangsu;School of Science,Hubei University of Automotive Technology,Shiyan 442002,Hubei;School of Economics and Management,Hubei University of Automotive Technology,Shiyan 442002,Hubei;School of Electrical and Information Engineering,Hubei University of Automotive Technology,Shiyan 442002,Hubei)

机构地区：[1]中国矿业大学信息与控制工程学院,江苏徐州221008 [2]江苏联合职业技术学院徐州财经分院,江苏徐州221011 [3]湖北汽车工业学院理学院,湖北十堰442002 [4]湖北汽车工业学院经济管理学院,湖北十堰442002 [5]湖北汽车工业学院电气与信息工程学院,湖北十堰442002

出　　处：《四川师范大学学报（自然科学版）》2018年第6期753-756,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：湖北省教育厅科学技术研究计划指导性项目(B2017080)

摘　　要：研究刻画Banach空间中线性斜积半流的指数渐近行为的平均定理,所得结果推广了指数稳定性理论中的已有结果.This paper is aimed to study the averaging theorems for the exponential asymptotic behaviors of linear skewproduct semiflows in Banach space.Generalizations of some wellknown results in stability theory are obtained.

关 键 词：一致指数稳定性 一致指数不稳定性 线性斜积半流 平均定理 

分 类 号：O175.24[理学—数学]