A note on the dependence on parameters for a nonlinear system via monotonicity theory

TL;DR

This paper explores how solutions to certain nonlinear boundary value problems depend continuously on parameters, using monotonicity theory to analyze the system's behavior.

Contribution

It introduces a method leveraging monotonicity theory to study parameter dependence in nonlinear systems of boundary value problems.

Findings

Establishes conditions for continuous dependence on parameters.

Provides a framework for analyzing nonlinear BVPs with monotonicity.

Enhances understanding of parameter sensitivity in nonlinear systems.

Abstract

Using monotonicity theory we investigate the continuous dependence on parameters for the discrete BVPs which can be written in a form of a nonlinear system.