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 (292.9 KB)
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

Global existence of positive and negative solutions for IFDEs via Lyapunov-Razumikhin method

School of Mechanical & Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China
Show Author Information

Abstract

This paper considers the global existence of positive and negative solutions for impulsive functional differential equations (IFDEs). First, we introduce the concept of ε-unstability to IFDEs and establish some sufficient conditions to guarantee the ε-unstability via Lyapunov-Razumikhin method. Based on the obtained results, we present some sufficient conditions for the global existence of positive and negative solutions of IFDEs. An example is also given to demonstrate the effectiveness of the results.

Keywords

impulsive functional differential equations (IFDEs)global existenceLyapunov-Razumikhin methodpositive solutionnegative solution

References

【1】
【1】
 
 
Crossref Google Scholar
Mathematical Modelling and Control
Volume 1 Issue 3,
September 2021
Pages 157-163
DOI: 10.3934/mmc.2021014

{{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:
Xu X. Global existence of positive and negative solutions for IFDEs via Lyapunov-Razumikhin method. Mathematical Modelling and Control, 2021, 1(3): 157-163. https://doi.org/10.3934/mmc.2021014

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 18 May 2021
Accepted: 23 August 2021
Published: 15 September 2021
©2021 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)