<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Duplex selections, equilibrium points, and viability tubes

Pure Mathematics and Applications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Duplex selections, equilibrium points, and viability tubes"}

Existence of viable trajectories to nonautonomous differential inclusions are proven for time-dependent viability tubes. In the convex case we prove a...

Duplex selections, equilibrium points, and viability tubes

Publié en ligne: 01 sept. 2018

Pages: 19 - 33

Reçu: 07 oct. 2015

DOI: https://doi.org/10.1515/puma-2015-0011

Mots clés
viable trajectories, sleek tubes, tangential conditions, continuous selections and quasi-selections

© 2018 Zoltán Kánnai, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Duplex selections, equilibrium points, and viability tubes

Publié en ligne: 01 sept. 2018

Pages: 19 - 33

Reçu: 07 oct. 2015

DOI: https://doi.org/10.1515/puma-2015-0011

Mots clésviable trajectories, sleek tubes, tangential conditions, continuous selections and quasi-selections

© 2018 Zoltán Kánnai, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
viable trajectories, sleek tubes, tangential conditions, continuous selections and quasi-selections