Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory
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...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/535416 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |