Advanced Mathematical Models & Applications

ISSN Online: 2519-4445

Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.

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Existence and Uniqueness of Solutions for Nonlinear Second-Order Impulsive Differential Equations with Two Point Boundary Conditions

Published: 03-12-2025

https://doi.org/10.62476/amma.103710

Abstract

In this paper, a system of nonlinear second-order impulsive differential equations with nonlocal boundary conditions is analyzed. The effect of nonlinearity in the boundary conditions is examined in the analysis of nonlinear boundary value problems. The existence of solutions is established using the fixed-point theorems of Schaefer and Krasnoselskii, while their uniqueness is established by means of t Banach’s contraction mapping principle. Additionally, problems involving two-point boundary conditions are highlighted as a very interesting and important class of problems, with applications in fields such as population dynamics, blood flow models, chemical engineering, and cellular systems. The analysis of such boundary value problems is essential for accurately describing physical systems.