Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 4, Pages 403-412
doi:10.1155/JIA.2005.403

On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems

S. Carl1 and S. Heikkilä2

 1Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, Institut für Analysis, Halle 06099, Germany
2Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu 90014, Finland
Received 9 October 2003

Abstract

We apply a fixed point result for multifunctions to derive existence results for boundary value problems of Sturm-Liouville differential equations with nonlinearities that may involve discontinuous and functional dependencies.