731 citations · 12.8k across the 413 of their papers we have counts for
12 papers · 1 filter
The delta-nabla calculus of variations
Agnieszka B. Malinowska, Delfim F. M. Torres
The discrete-time, the quantum, and the continuous calculus of variations have been recently unified and extended. Two approaches are followed in the literature: one dealing with m…
Time Scales and Mathematica
Artur M. C. Brito da Cruz, Helena Sofia Rodrigues, Delfim F. M. Torres
Time scales are a model of time, where the continuous and the discrete time cases are considered and merged into the same framework. In this paper some basic definitions of the tim…
A non-classical class of variational problems
Pedro A. F. Cruz, Delfim F. M. Torres, Alan S. I. Zinober
We study a new non-classical class of variational problems that is motivated by some recent research on the non-linear revenue problem in the field of economics. This class of prob…
Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We prove a two dimensional Holder and reverse-Holder inequality on time scales via the diamond-alpha integral. Other integral inequalities are established as well, which have as co…
Avoidance Control on Time Scales
Ewa Pawluszewicz, Delfim F. M. Torres
We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other age…
On the two-dimensional rotational body of maximal Newtonian resistance
Paulo D. F. Gouveia, Alexander Plakhov, Delfim F. M. Torres
We investigate, by means of computer simulations, shapes of nonconvex bodies that maximize resistance to their motion through a rarefied medium, considering that bodies are moving…