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线性斜积半流指数φ-膨胀性的若干刻画 被引量：1

Some characterizations for the exponentialφ-expansiveness of linear skew-product semiflows
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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)
机构地区 湖北汽车工业学院理学院 汽车动力传动与电子控制湖北省重点实验室 中国矿业大学数学学院
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2020年第5期576-580,611,共6页 JUSTC
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
分类号 O175.24 [理学—基础数学]
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中国科学技术大学学报
2020年 第5期

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