Sturm-Liouville BVPs with Caratheodory nonlinearities

In this article we study the existence and multiplicity of solutions for several classes of Sturm-Liouville boundary value problems having Caratheodory nonlinearities. Many results existing in the literature for such boundary value problems in the continuous framework will find in this work their extensions to the Caratheodory setting.

# Mathematics # Sturm-Liouville BVPs # Half-eigenvalue # Caratheodory nonlinearities # Jumping nonlinearities

Abdelhamid Benmezai, Wassila Esserhane, Johnny Henderson (2016). "Sturm-Liouville BVPs with Caratheodory nonlinearities". Electronic Journal of Differential Equations.