| Article ID: | iaor20127248 |
| Volume: | 155 |
| Issue: | 2 |
| Start Page Number: | 453 |
| End Page Number: | 476 |
| Publication Date: | Nov 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Martins Natlia, Torres Delfim |
| Keywords: | Lagrangian methods, variational relation problems |
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.