AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Mathematical Modelling and Control Article
PDF (2.9 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Controllability of nonlinear ordinary differential equations with non-instantaneous impulses

Zhen Xin1,2( ), Yuhe Yang1,2, Qiaoxia Li1,2
School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
Institute of Applied Mathematics, Yili Normal University, Yining 835000, China
Show Author Information

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.

Keywords

non-instantaneous impulsescontrollabilityBanach spaces

References

【1】
【1】
 
 
Crossref Google Scholar
Mathematical Modelling and Control
Volume 2 Issue 1,
March 2022
Pages 1-6
DOI: 10.3934/mmc.2022001

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Xin Z, Yang Y, Li Q. Controllability of nonlinear ordinary differential equations with non-instantaneous impulses. Mathematical Modelling and Control, 2022, 2(1): 1-6. https://doi.org/10.3934/mmc.2022001

3

Views

0

Downloads

0

Crossref

1

Web of Science

5

Scopus
Received: 04 October 2021
Revised: 31 December 2021
Accepted: 15 January 2022
Published: 15 March 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)