| Article ID: | iaor20122523 |
| Volume: | 6 |
| Issue: | 3 |
| Start Page Number: | 459 |
| End Page Number: | 470 |
| Publication Date: | Mar 2012 |
| Journal: | Optimization Letters |
| Authors: | Pitea Ariana, Postolache Mihai |
| Keywords: | programming: multiple criteria |
Consider the multi‐time multi‐objective variational problem (MFP) of minimizing a vector of quotients of path independent curvilinear functionals subject to PDE and/or PDI constraints. The goal of our work is to develop an optimization theory for the second order jet bundle. While the background in Sect. 1 is introductory, the theory in Sects. 2 and 3 is new as a whole, containing our results.