Discrete Approximate Solution of Differential Inclusion with Normal Cone and Prox-Regular Set.

Our aim is to calculate the discrete approximate solution of di⁄erential inclusion with normal cone and prox-regular set, the question is how to calculate this solution? We use the discrete approximation property of a new variant of nonconvex sweeping processes involving normal cone and a nite element method. Knowing that The majority of mathematicians have proved only the existence and uniqueness of the solution for this type of inclusions, like: Mordukhovich, Thibault, Aubin, Messaoud, ...etc.

Local Youth, Global Futures. Experiences, Aspirations and Citizenship of Young Cricketers of Migrant Origin in Italy

This contribution discusses the relationship between sport and citizenship by exploring the citizenship paths described by young cricketers of Bangladeshi origin living in Venice (Italy). In particular, it focuses on the processes of misrecognition, enacted both by natives and their older countrymen, that these youths are suffering in their everyday life and that are rooted and reflected in their playing cricket in the neighbourhood. Starting from these premises, their aspired citizenship paths are described, revealing how the European passport, often an aspiration in itself, may become a passe-partout to react to misrecognition, allowing them to describe aspirations, reflected also in their sports practices, that are nationally, transnationally and globally deployed and that may aim, although through an individual claim, to restore the disruptions lived by the whole Bangladeshi diaspora. In this sense, within their distinctive aspired citizenship paths, the borders between distinction/integration with their older countrymen and native people are blurred, thus revealing their willingness to enjoy the same rights as their native peers as well as to overcome the differential inclusion suffered by their parents.

Turnpike Properties for Dynamical Systems Determined by Differential Inclusions

In this paper, we study the turnpike phenomenon for trajectories of continuous-time dynamical systems generated by differential inclusions, which have a prototype in mathematical economics. In particular, we show that, if the differential inclusion has a certain symmetric property, the turnpike possesses the corresponding symmetric property. If we know a finite number of approximate trajectories of our system, then we know the turnpike and this information can be useful if we need to find new trajectories of our system or their approximations.

On a second-order differential inclusion with certain integral and multi-strip boundary conditions

We study a second-order differential inclusion with integral and multi-strip boundary conditions defined by a set-valued map with nonconvex values. We obtain an existence result and we prove the arcwise connectedness of the solution set of the considered problem.