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 AIMS Mathematics Article
PDF (256.1 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

Convergence conditions for extreme solutions of an impulsive differential system

Bing Hu( ), Yikai Liao
Department of Mathematics, School of Mathematical Sciences, Zhejiang University of Technology, Hangzhou 310023, China
Show Author Information

Abstract

In this paper, we discuss the existence and convergence conditions of extreme solutions for a first-order differential boundary value system with an impulsive integral condition. By employing quasi-linear and monotone iterative methods, the existence, uniform convergence, and quadratic convergence for solution sequences are obtained.

Keywords

functional differential equationimpulsive integral conditionmonotone iterative techniquequasilinearization methodquadratic convergence
CLC number: 34B37, 34B05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 10591-10604
DOI: 10.3934/math.2025481

{{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:
Hu B, Liao Y. Convergence conditions for extreme solutions of an impulsive differential system. AIMS Mathematics, 2025, 10(5): 10591-10604. https://doi.org/10.3934/math.2025481

95

Views

5

Downloads

27

Crossref

28

Web of Science

28

Scopus
Received: 28 February 2025
Revised: 16 April 2025
Accepted: 25 April 2025
Published: 15 May 2025
©2025 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)