@article{Yue2023, 
author = {Tian Yue},
title = {Barbashin type characterizations for nonuniform h-dichotomy of evolution families},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {26357-26371},
keywords = {nonuniform h-dichotomy, evolution family, growth rate, Barbashin type theorem, nonuniform exponential dichotomy, nonuniform polynomial dichotomy},
url = {https://www.sciopen.com/article/10.3934/math.20231345},
doi = {10.3934/math.20231345},
abstract = {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.}
}