Open Access

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

Journal of Inequalities and Applications20052005:317549

DOI: 10.1155/JIA.2005.403

Received: 9 October 2003

Published: 31 August 2005

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.

Authors’ Affiliations

(1)
Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, Institut für Analysis
(2)
Department of Mathematical Sciences, University of Oulu

Copyright

© Carl and Heikkilä. 2005