Boundary Value Problems
Volume 2005 (2005), Issue 2, Pages 165-179

Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces

Siegfried Carl1 and S. Heikkilä2

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

Received 7 September 2004

Copyright © 2005 Siegfried Carl and S. Heikkilä. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved.