MULTIPLE SOLUTIONS FOR A SECOND-ORDER STURM-LIOUVILLE BOUNDARY VALUE PROBLEM

Abstract

In this paper, we investigate a second-order Sturm-Liouville boundary value problem depending on the parameter $\lambda$. For any $\lambda$ in some explicitly determined open interval, the boundary value problem admits multiple generalized solutions by using very recent three critical points theorems stated in a paper by G. Bonanno (J. Math. Anal. Appl. 29 (2004), 600-614).