Abstract and Applied Analysis
Volume 2012 (2012), Article ID 592804, 11 pages
Research Article

A Study of Some General Problems of Dieudonné-Rashevski Type

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

Received 3 January 2012; Accepted 26 January 2012

Academic Editor: Ngai-Ching Wong

Copyright © 2012 Ariana Pitea. 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.


We use a method of investigation based on employing adequate variational calculus techniques in the study of some generalized Dieudonné-Rashevski problems. This approach allows us to state and prove optimality conditions for such kind of vector multitime variational problems, with mixed isoperimetric constraints. We state and prove efficiency conditions and develop a duality theory.