Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory

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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Main Author: Mihai Postolache
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/535416
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spelling doaj-d3b55fa11455455e98675a796605e9692020-11-24T22:17:51ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Mihai Postolache
spellingShingle Mihai Postolache
Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory
Abstract and Applied Analysis
author_facet Mihai Postolache
author_sort Mihai Postolache
title 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_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_sort minimization of vectors of curvilinear functionals on second-order jet bundle: dual program theory
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
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.
url http://dx.doi.org/10.1155/2012/535416
work_keys_str_mv AT mihaipostolache minimizationofvectorsofcurvilinearfunctionalsonsecondorderjetbundledualprogramtheory
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