Minimization of vectors of curvilinear functionals on the second order jet bundle |
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| Authors: | Ariana Pitea Mihai Postolache |
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| Affiliation: | (1) Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;(2) Department of Applied Mathematics, Dalian University of Technology, Dalian, China |
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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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