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

Mihai Postolache | Zendy

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

Author(s) -

Mihai Postolache

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/535416

Subject(s) - curvilinear coordinates , mathematics , continuation , dual (grammatical number) , minification , bundle , class (philosophy) , work (physics) , jet (fluid) , mathematical optimization , order (exchange) , calculus (dental) , computer science , geometry , mechanical engineering , art , medicine , materials science , literature , physics , finance , dentistry , artificial intelligence , engineering , economics , composite material , thermodynamics , programming language

A previous paper (2011), Pitea andPostolache, considered the problem of minimization of vectors of curvilinear functionals(well known as mechanical work), thought as multitime multiobjective variationalproblem, subject to PDE and/or PDI constraints. They have chosen the suitable frameworkoffered by the second-order jet bundle, and initiated an optimization theory forthis class of problems by introducing necessary conditions. As natural continuationof these results, the present work introduces a dual program theory, the general setting, and the theory which is new as a whole, containing ourresults

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