The theory of time scales is a relatively new area of Mathematics with
applications in population biology, quantum calculus, intelligent
robotic control, adaptive sampling, economics, among others. It was
initiated by Stefan Hilger in the nineties of the XX century as a tool
to unify and generalize
differential and difference equations. The
new calculus on time scales is now subject of strong current research
in many different fields in which dynamic processes can be described
with continuous or discrete models.
In this talk we will present some new necessary optimality conditions for the calculus of variations on time scales. |