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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 535416, 12 pages
http://dx.doi.org/10.1155/2012/535416
Research Article

Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory

Faculty of Applied Sciences, University “Politehnica” of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania

Received 6 December 2011; Accepted 27 December 2011

Academic Editor: Ngai-Ching Wong

Copyright © 2012 Mihai Postolache. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A previous paper (2011), Pitea and Postolache, 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.