Published Online: Sep 01, 2018
Page range: 19 - 33
Received: Oct 07, 2015
DOI: https://doi.org/10.1515/puma-2015-0011
Keywords
© 2018 Zoltán Kánnai, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Existence of viable trajectories to nonautonomous differential inclusions are proven for time-dependent viability tubes. In the convex case we prove a double-selection theorem and a new Scorza-Dragoni type lemma. Our result also provides a new and palpable proof for the equilibrium form of Kakutani’s fixed point theorem.