Abdelhamid Benmezai, Wassila Esserhane, Johnny Henderson
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.
Submitted August 14, 2016. Published November 22, 2016.
Math Subject Classifications: 34B15, 34B16, 34B18.
Key Words: Sturm-Liouville BVPs; Half-eigenvalue; Caratheodory nonlinearities; Jumping nonlinearities.
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| Abdelhamid Benmezaï |
Faculty of Mathematics, USTHB
| Wassila Esserhane |
Graduate School of Statistics and Applied Economics
P.O. Box 11, Doudou Mokhtar
Ben-Aknoun Algiers, Algeria
| Johnny Henderson |
Department of Mathematics
Waco, Texas 76798-7328, USA
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