101 citations · 129 across the 3 of their papers we have counts for
3 papers
math.OC2011★ 27 cited
Generalizing the variational theory on time scales to include the delta indefinite integral
Natalia Martins, Delfim F. M. Torres
We prove necessary optimality conditions of Euler-Lagrange type for generalized problems of the calculus of variations on time scales with a Lagrangian depending not only on the in…
math.CA2010★ 1 cited
L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus
Natalia Martins, Delfim F. M. Torres
We prove new l'Hopital rules for monotonicity valid on an arbitrary time scale. Both delta and nabla monotonic l'Hopital rules are obtained. As an example of application, we give s…
math.OC2008★ 101 cited
Calculus of Variations on Time Scales with Nabla Derivatives
Natalia Martins, Delfim F. M. Torres
We prove a necessary optimality condition of Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher-order. The proof is done using a new…