Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle | Zendy

Ariana Pitea | Zendy

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Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle

Author(s) -

Ariana Pitea

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 - 10.1155/2012/713765

Subject(s) - curvilinear coordinates , mathematics , work (physics) , continuation , jet (fluid) , bundle , minification , order (exchange) , mathematical optimization , calculus of variations , mathematical analysis , computer science , geometry , mechanics , mechanical engineering , physics , materials science , finance , engineering , economics , composite material , programming language

Motivated by its possible applications in mechanics and mechanical engineering, inour previous published work (Pitea and Postolache, 2011),we initiated an optimization theory for the second-order jet bundle. We considered theproblem of minimization of vectors of curvilinear functionals (well known as mechanicalwork), thought as multitime multiobjective variational problems, subject to PDEand/or PDI constraints. Within this framework, we introduced necessary optimalityconditions. As natural continuation of these results, the present work introduces astudy of sufficient efficiency conditions

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