Existence and multiple solutions to a discrete fourth order boundary value problem

Abstract

Abstract In this article, we study a discrete fourth order boundary value problem. By making use of variational methods and critical point theory, we obtain some criteria for the existence and multiple solutions. Moreover, two examples are included to illustrate the applicability of the main results.

Keywords

• Boundary value problems
• Existence and multiple solutions
• Fourth order
• Critical point theory
• Discrete