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Convergence conditions for extreme solutions of an impulsive differential system

Bing Hu, Yikai Liao

2025AIMS Mathematics26 citationsDOIOpen Access PDF

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.

Topics & Concepts

Convergence (economics)Applied mathematicsComputer scienceEnvironmental scienceMathematicsEconomicsEconomic growthNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems