On the existence and multiplicity of solutions for discrete higher order BVP

TL;DR

This paper explores the conditions under which solutions exist and are multiple for higher order discrete boundary value problems using critical point theory, advancing understanding in discrete differential equations.

Contribution

It introduces new criteria for existence and multiplicity of solutions specifically for higher order discrete boundary value problems using critical point methods.

Findings

Established new existence conditions for solutions.

Proved the possibility of multiple solutions under certain conditions.

Applied critical point theory to discrete boundary value problems.

Abstract

We investigate the existence and multiplicity of solutions for higher order discrete boundary value problems via critical point theory.