## Abstract and Applied Analysis

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

Mihai Postolache

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 535416, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495653

Digital Object Identifier
doi:10.1155/2012/535416

Mathematical Reviews number (MathSciNet)
MR2898036

Zentralblatt MATH identifier
1237.49048

#### Citation

Postolache, Mihai. Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory. Abstr. Appl. Anal. 2012 (2012), Article ID 535416, 12 pages. doi:10.1155/2012/535416. https://projecteuclid.org/euclid.aaa/1355495653

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