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Minimization of vectors of curvilinear functionals on the second order jet bundle

Necessary conditions

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Abstract

Consider the multi-time multi-objective variational problem (MFP) of minimizing a vector of quotients of path independent curvilinear functionals subject to PDE and/or PDI constraints. The goal of our work is to develop an optimization theory for the second order jet bundle. While the background in Sect. 1 is introductory, the theory in Sects. 2 and 3 is new as a whole, containing our results.

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Authors and Affiliations

  1. University “Politehnica” of Bucharest Faculty of Applied Sciences, Splaiul Independenţei, No. 313, 060042, Bucharest, Romania

    Ariana Pitea & Mihai Postolache

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  1. Ariana Pitea
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  2. Mihai Postolache
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Correspondence to Mihai Postolache.

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Pitea, A., Postolache, M. Minimization of vectors of curvilinear functionals on the second order jet bundle. Optim Lett 6, 459–470 (2012). https://doi.org/10.1007/s11590-010-0272-0

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  • DOI: https://doi.org/10.1007/s11590-010-0272-0

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