摘要
研究了Banach空间中线性斜积半流的指数φ-膨胀性.基于一致指数膨胀性的定义,引入了Banach空间中线性斜积半流指数φ-膨胀性的概念,运用数学分析与算子理论得到了指数φ-膨胀性的若干刻画.所得结果推广和完善了指数稳定性理论中一些已有结果.
The exponentialφ-expansiveness of linear skew-product semiflows in Banach space was studied.Based on the definition of uniform exponential expansiveness,a linear skew-product semiflow with exponentialφ-expansiveness was presented.Some characterizations for exponentialφ-expansiveness were obtained via mathematical analysis and operator theory.The results extend some well-known conclusions in the exponential stability theory.
作者
岳田
宋晓秋
YUE Tian;SONG Xiaoqiu(School of Science, Hubei University of Automotive Technology, Shiyan 442002, China;Hubei Key Laboratory of Automotive Power Train and Electronics Control, Shiyan 442002, China;School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China)
基金
国家自然科学基金(11502075)
教育部产学合作协同育人项目(202002137038,202002177010)
汽车动力传动与电子控制湖北省重点实验室开放基金项目(ZDK1202004)资助.
关键词
线性斜积半流
指数φ-膨胀性
函数空间
linear skew-product semiflows
exponentialφ-expansiveness
function spaces