Boundary value problems of a discrete generalized beam equation via variational methods

Abstract

The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained. Several consequences of the main results are also presented. Examples are given to illustrate the theorems.

Keywords

• boundary value problems
• discrete problems
• generalized beam equation
• saddle point theorem
• variational methods
• 39a10
• 34b05
• 58e05
• 65l10