Boundary Value Problems
Volume 2005 (2005), Issue 2, Pages 165-179
doi:10.1155/BVP.2005.165
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
Abstract
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.