Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle
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 know...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/713765 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |