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

Ariana Pitea

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:713765

DOI: 10.1155/2012/713765

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