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巴拿赫空间中演化算子非一致多项式三分性的充要条件

Necessary and Sufficient Criteria for the Nonuniform Polynomial Trichotomy of Evolution Operators in Banach Spaces
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摘要 分别利用两个和四个投影族给出了巴拿赫空间中演化算子非一致多项式三分性的充要条件. The aim of this paper is to give necessary and sufficient conditions for the nonuniform polynomial trichotomy of evolution operators in Banach spaces by means of two projection families and four projection families, respectively.
作者 岳田 刘开拓 徐鹏 YUE Tian;LIU Kai-tuo;XU Peng(School of Science,Hubei University of Automotive Technology,Shiyan 442002,China;School of Mathematics and Statistics,Central South University,Changsha 410083,China)
机构地区 湖北汽车工业学院理学院 中南大学数学与统计学院
出处 《数学的实践与认识》 北大核心 2018年第21期171-175,共5页 Mathematics in Practice and Theory
基金 湖北省教育厅科学技术研究项目(B2018067)
关键词 演化算子 非一致多项式三分性 投影族 充要条件 evolution operator nonuniform polynomial trichotomy projection family nec-essary and sufficient criteria
分类号 O177.2 [理学—基础数学]
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数学的实践与认识
2018年 第21期

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