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

Yan Li, Zihan Rui, Bing Hu

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Source: Crossref

Published: Jan 1, 2025

DOI: 10.3934/math.2025002

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Source abstract

<p>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.</p>

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Monotone iterative and quasilinearization method for a nonlinear integral impulsive differential equation — Mathematical Frontier Network