Nikolaos S. Papageorgiou (1994)
Archivum Mathematicum
Similarity:
We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations.
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
Similarity:
Diego Averna, Gabriele Bonanno (1999)
Annales Polonici Mathematici
Similarity:
Aurelian Cernea (2001)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)
Archivum Mathematicum
Similarity:
In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).