64 citations · 97 across the 4 of their papers we have counts for
4 papers
Diamond-alpha Integral Inequalities on Time Scales
Rui A. C. Ferreira, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
The theory of the calculus of variations was recently extended to the more general time scales setting, both for delta and nabla integrals. The primary purpose of this paper is to…
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…
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…