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 |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/535416 |
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| _version_ | 1832552323830775808 |
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| author | Mihai Postolache |
| author_facet | Mihai Postolache |
| author_sort | Mihai Postolache |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d3b55fa11455455e98675a796605e969 |
| 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-d3b55fa11455455e98675a796605e9692025-02-03T05:59:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/535416535416Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program TheoryMihai Postolache0Faculty of Applied Sciences, University “Politehnica” of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaA 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.http://dx.doi.org/10.1155/2012/535416 |
| spellingShingle | Mihai Postolache Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory Abstract and Applied Analysis |
| title | Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory |
| title_full | Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory |
| title_fullStr | Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory |
| title_full_unstemmed | Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory |
| title_short | Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory |
| title_sort | minimization of vectors of curvilinear functionals on second order jet bundle dual program theory |
| url | http://dx.doi.org/10.1155/2012/535416 |
| work_keys_str_mv | AT mihaipostolache minimizationofvectorsofcurvilinearfunctionalsonsecondorderjetbundledualprogramtheory |