Necessary Optimality Conditions for Higher-Order Infinite Horizon   Variational Problems on Time Scales
  We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings: our results seem new and interesting even in the particular cases when the time scale is the set of real numbers or the set of integers. 
Natalia Martins, Delfim F. M. Torres
math.OC math.CA