@article{Liu2022, 
author = {Kui Liu},
title = {Stability analysis for    (  ω  ,  c  )-periodic non-instantaneous impulsive differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {1758-1774},
keywords = {non-instantaneous impulsive differential equations, (ω, c)-periodic solutions, stability},
url = {https://www.sciopen.com/article/10.3934/math.2022101},
doi = {10.3934/math.2022101},
abstract = {In this paper, the stability of    (  ω  ,  c  )-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some sufficient conditions for exponential stability are obtained. Further, by using Gronwall inequality, sufficient conditions for exponential stability of    (  ω  ,  c  )-periodic solutions of nonlinear noninstantaneous impulsive problems are established. Finally, some examples are given to illustrate the correctness of the conclusion.}
}