Département de Mathématiques, Collège Édouard-Montpetit, 945 Chemin de Chambly, Longueuil, QC, J4H 3M6, Canada
Copyright © 2010 Hugues Gilbert. 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.
This paper concerns the existence of solutions for two kinds of
systems of first-order equations on time scales. Existence results for these
problems are obtained with new notions of solution tube adapted to these
systems. We consider the general case where the right member of the system
is -Carathéodory and, hence, not necessarily continuous.