Continuous dependence on parameters for second order discrete BVP's

TL;DR

This paper investigates how solutions to second order discrete boundary value problems depend on parameters, using variational methods and min-max inequalities to establish existence and solution properties.

Contribution

It introduces a variational approach employing min-max inequalities to analyze parameter dependence in second order discrete BVPs, providing a new method for solution existence.

Findings

Solutions exist under certain conditions

Dependence on parameters is established

Solutions are characterized as saddle points

Abstract

Using min-max inequality we investigate the existence of solutions and thier dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the Euler action functional.