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

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 obt...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 10; no. 1; pp. 21 - 37
Main Authors Li, Yan, Rui, Zihan, Hu, Bing
Format Journal Article
LanguageEnglish
Published AIMS Press 2025
Subjects
impulsive integral condition
monotone iterative technique
quadratic convergence
quasilinearization method
Online AccessGet full text
ISSN2473-6988
2473-6988
DOI10.3934/math.2025002

Cover

More Information
Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2025002