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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832564725205958656 |
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| author | Ariana Pitea |
| author_facet | Ariana Pitea |
| author_sort | Ariana Pitea |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-024ea6ebb8ba43cebab5629583284e81 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-024ea6ebb8ba43cebab5629583284e812025-02-03T01:10:16ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/713765713765Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet BundleAriana Pitea0Faculty of Applied Sciences, University “Politehnica” of Bucharest, Splaiul Independentei 313, Bucharest 060042, RomaniaMotivated 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.http://dx.doi.org/10.1155/2012/713765 |
| spellingShingle | Ariana Pitea Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle Abstract and Applied Analysis |
| title | Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle |
| title_full | Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle |
| title_fullStr | Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle |
| title_full_unstemmed | Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle |
| title_short | Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle |
| title_sort | sufficient efficiency conditions for vector ratio problem on the second order jet bundle |
| url | http://dx.doi.org/10.1155/2012/713765 |
| work_keys_str_mv | AT arianapitea sufficientefficiencyconditionsforvectorratioproblemonthesecondorderjetbundle |