Special Session 89: Applications of topological and variational methods to boundary value problems
Contents
In this work is presented sufficient conditions for the existence of unbounded solutions of a Sturm-Liouville boundary value problem on the half-line. One-sided Nagumo condition plays a special role because allows an asymmetric unbounded behavior on the nonlinearity. The arguments are based on the Schauder fixed point theorem and lower and upper solutions method. An example is given to show the applicability of our results.