On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem

Abstract

In a series of recent articles (cf. [1]–[4]) we considered an approach based on the Leray–Schauder degree for the solvability of some boundary value problems where there are no a priori bounds for the solutions. In particular, in [1] we studied a Sturm–Liouville problem for the second order nonlinear scalar equation