Abdelhamid Benmezai, Wassila Esserhane, Johnny Henderson
Abstract:
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.
Show me the PDF file (604 KB), TEX file for this article.
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Abdelhamid Benmezaï Faculty of Mathematics, USTHB Algiers, Algeria email: aehbenmezai@gmail.com |
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Wassila Esserhane Graduate School of Statistics and Applied Economics P.O. Box 11, Doudou Mokhtar Ben-Aknoun Algiers, Algeria email: ewassila@gmail.com |
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Johnny Henderson Department of Mathematics Baylor University Waco, Texas 76798-7328, USA email: Johnny_Henderson@baylor.edu |
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