On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations

Abstract

Employing a three critical points theorem, we prove the existence of<br />multiple solutions for a class of Neumann two-point boundary value<br />Sturm-Liouville type equations. Using a local minimum theorem for<br />differentiable functionals the existence of at least one non-trivial<br />solution is also ensured.