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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
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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

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 10591-10604
DOI: 10.3934/math.2025481

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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

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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)