Minimization of vectors of curvilinear functionals on second-order jet bundle: dual program theory (Q410199)

Summary: A previous paper, \textit{A. Pitea} and \textit{M. Postolache} [``Minimization of vectors of curvilinear functionals on the second order jet bundle. Necessary conditions,'' Optim. Lett. (2011)] considered the problem of minimization of vectors of curvilinear functionals (well known as mechanical work), thought as multitime multiobjective variational problem, subject to PDE and/or PDI constraints. They have chosen the suitable framework offered by the second-order jet bundle, and initiated an optimization theory for this class of problems by introducing necessary conditions. As natural continuation of these results, the present work introduces a dual program theory, the general setting, and the theory which is new as a whole, containing our results.