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.