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

Research paper by Ariana Pitea, Mihai Postolache

Indexed on: 04 Jan '11Published on: 04 Jan '11Published in: Optimization Letters



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.