The second Noether theorem on time scale
  We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for the $h$-calculus and the second Noether theorem for the $q$-calculus. 
Agnieszka B. Malinowska and Nat\'alia Martins
math.OC