Existence of multiple solutions for Sturm-Liouville boundary value problems

Abstract

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

Keywords

• sturm-liouville boundary value problems
• variational methods
• critical point theory
• infinitely many solutions.