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Research Article | Open Access

Monotone iterative and quasilinearization method for a nonlinear integral impulsive differential equation

Yan Li, Zihan Rui, Bing Hu( )
School of Mathematical Sciences, Zhejiang University of Technology, Hangzhou 310023, China
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Abstract

In this paper, we discuss the existence and approximation of solution sequences for a class of nonlinear ordinary differential equations with an impulsive integral condition. Our major methods were the monotone iterative and quasilinearization techniques. Interestingly, many new results could be obtained, which were different from the functional differential equation.

Keywords

impulsive integral conditionmonotone iterative techniquequasilinearization methodquadratic convergence
CLC number: 34B05, 34B37

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 21-37
DOI: 10.3934/math.2025002

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Cite this article:
Li Y, Rui Z, Hu B. Monotone iterative and quasilinearization method for a nonlinear integral impulsive differential equation. AIMS Mathematics, 2025, 10(1): 21-37. https://doi.org/10.3934/math.2025002

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Received: 06 October 2024
Revised: 09 December 2024
Accepted: 23 December 2024
Published: 15 January 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)