253 citations · 834 across the 25 of their papers we have counts for
4 papers · 1 filter
Diamond- Jensen's Inequality on Time Scales
Moulay Rchid Sidi Ammi, Rui A. C. Ferreira, Delfim F. M. Torres
The theory and applications of dynamic derivatives on time scales has recently received considerable attention. The primary purpose of this paper is to give basic properties of dia…
Remarks on the calculus of variations on time scales
Rui A. C. Ferreira, Delfim F. M. Torres
The calculus of variations is a classical subject which has gain throughout the last three hundred years a level of rigor and elegance that only time can give. In this note we show…
Higher-Order Calculus of Variations on Time Scales
Rui A. C. Ferreira, Delfim F. M. Torres
We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.
Necessary optimality conditions for the calculus of variations on time scales
Rui A. C. Ferreira, Delfim F. M. Torres
We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta…