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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.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…