2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126922We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta derivatives of more than the first order, and (ii) problems of the calculus of variations with delta-differential side conditions (Lagrange problem of the calculus of variations on time scales).20 pagesOptimization and ControlClassical Analysis and ODEs49K05; 39A12Necessary optimality conditions for the calculus of variations on time scalestext