Controllability of nonlinear ordinary differential equations with non-instantaneous impulses

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...

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Bibliographic Details
Published in:Mathematical Modelling and Control
Main Authors: Zhen Xin, Yuhe Yang, Qiaoxia Li
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Subjects:
non-instantaneous impulses
controllability
banach spaces
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2022001?viewType=HTML
Description
Summary: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.
ISSN:2767-8946

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