Some characterizations for the uniform exponential stability of linear skew-product semiflows(线性斜积半流的一致指数稳定性的若干刻画)

YUETian(岳田); SONGXiaoqiu(宋晓秋)

doi:10.3785/j.issn.1008-9497.2018.05.005

Zhejiang Daxue xuebao. Lixue ban (Sep 2018)

Some characterizations for the uniform exponential stability of linear skew-product semiflows(线性斜积半流的一致指数稳定性的若干刻画)

YUETian(岳田),
SONGXiaoqiu(宋晓秋)

Affiliations

YUETian(岳田): ORCiD; 1.School of Science, Hubei University of Automotive Technology, Shiyan 442002, Hubei Province, China( 1.湖北汽车工业学院理学院，湖北十堰 442002)
SONGXiaoqiu(宋晓秋): 2.School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu Province, China( 2.中国矿业大学数学学院，江苏徐州 221116)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2018.05.005
Journal volume & issue: Vol. 45, no. 5
pp. 545 – 548

Abstract

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基于线性斜积半流的定义，引入了 Banach空间中该类动力系统一致指数稳定的概念.借助稳定性理论中的Datko型方法，讨论了斜积半流一致指数稳定的特征，建立了其一致指数稳定的若干充要条件.所得结论推广了指数稳定性及指数不稳定性中一些已有的经典结论（如DATKO、ROLEWICZ、MEGAN、BUSE等）.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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