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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 that, contrary to the classical field, available formulations and results on the recent calculus of variations on time scales are still at the heuristic level.


time scales, calculus of variations, fundamental lemma of the calculus of variations, Euler-Lagrange equations, multiple integrals

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