## Abstract and Applied Analysis

### Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle

Ariana Pitea

#### Abstract

Motivated by its possible applications in mechanics and mechanical engineering, in our previous published work (Pitea and Postolache, 2011), we initiated an optimization theory for the second-order jet bundle. We considered the problem of minimization of vectors of curvilinear functionals (well known as mechanical work), thought as multitime multiobjective variational problems, subject to PDE and/or PDI constraints. Within this framework, we introduced necessary optimality conditions. As natural continuation of these results, the present work introduces a study of sufficient efficiency conditions.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 713765, 9 pages.

Dates
First available in Project Euclid: 1 April 2013

https://projecteuclid.org/euclid.aaa/1364845135

Digital Object Identifier
doi:10.1155/2012/713765

Mathematical Reviews number (MathSciNet)
MR2910725

Zentralblatt MATH identifier
1242.49022

#### Citation

Pitea, Ariana. Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 713765, 9 pages. doi:10.1155/2012/713765. https://projecteuclid.org/euclid.aaa/1364845135

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