文献类型：期刊文献

英文题名：Stability analysis for (omega, c)-periodic non-instantaneous impulsive differential equations

作者：Liu, Kui

第一作者：刘葵

通信作者：Liu, K[1]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550025, Guizhou, Peoples R China

第一机构：贵州理工学院理学院

通信机构：corresponding author), Guizhou Inst Technol, Coll Sci, Guiyang 550025, Guizhou, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2022

卷号：7

期号：2

起止页码：1758-1774

外文期刊名：AIMS MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85119275387);WOS:【SCI-EXPANDED(收录号:WOS:000727568300010)】；

基金：This work is partially supported by Guizhou Provincial Science and Technology Foundation [2020] 1Y002; Youth Development Project of Guizhou Provincial Education Department [2021] 266; Academic seedling cultivation and innovation exploration special cultivation project plan: GZLGXM-17.

语种：英文

外文关键词：non-instantaneous impulsive differential equations; (omega, c)-periodic solutions; stability

摘要：In this paper, the stability of (omega, 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 (omega, c)-periodic solutions of nonlinear noninstantaneous impulsive problems are established. Finally, some examples are given to illustrate the correctness of the conclusion.