@article{Xin2022, 
author = {Zhen Xin and Yuhe Yang and Qiaoxia Li},
title = {Controllability of nonlinear ordinary differential equations with non-instantaneous impulses},
year = {2022},
journal = {Mathematical Modelling and Control},
volume = {2},
number = {1},
pages = {1-6},
keywords = {controllability, non-instantaneous impulses, Banach spaces},
url = {https://www.sciopen.com/article/10.3934/mmc.2022001},
doi = {10.3934/mmc.2022001},
abstract = {In this paper, we consider controllability of the initial value problem with non-instantaneous impulse on ordered Banach spaces. We firstly give a solution expression for initial value problems with non-instantaneous impulses in ordered Banach Spaces by using Schauder fixed point theorem. Sufficient conditions for controllability results are obtained by Krasnoselskii's fixed point theorem in the infinite-dimensional spaces. An example is also given to illustrate the feasibility of our theoretical results.}
}