%0 Journal Article %T Isoperimetric Problems of the Calculus of Variations on Time Scales %A Rui A. C. Ferreira %A Delfim F. M. Torres %J Mathematics %D 2008 %I arXiv %R 10.1090/conm/514 %X We prove a necessary optimality condition for isoperimetric problems on time scales in the space of delta-differentiable functions with rd-continuous derivatives. The results are then applied to Sturm-Liouville eigenvalue problems on time scales. %U http://arxiv.org/abs/0805.0278v2