Barbashin type characterizations for nonuniform h-dichotomy of evolution families

被引：1

作者：

Yue, Tian ^{[1
]}

机构：

[1] Hubei Univ Automot Technol, Sch Math Phys & Optoelect Engn, Shiyan 442002, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 11期

关键词：

nonuniform h-dichotomy; evolution family; growth rate; Barbashin type theorem; nonuniform exponential dichotomy; nonuniform polynomial dichotomy; EXPONENTIAL DICHOTOMY; ADMISSIBILITY; INSTABILITY; OPERATORS; STABILITY; DATKO;

D O I：

10.3934/math.20231345

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to give some Barbashin type characterizations for the nonuniform h-dichotomy of reversible evolution families in Banach spaces. Two necessary and sufficient conditions for the nonuniform h-dichotomy are pointed out using some important sets of growth functions. Additionally, as particular cases, we obtain a Barbashin type characterization for nonuniform exponential dichotomy and a necessary and sufficient condition for the nonuniform polynomial dichotomy.

引用

页码：26357 / 26371

页数：15

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