Non-trivial solutions for two-point boundary-value problems of fourth-order Sturm-Liouville type equations

Abstract

Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.

Keywords

• Fourth-order Sturm-Liouville type problem
• multiplicity results
• critical point theory