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arXiv 2010-08-07 0 views

General second order conditions for extrema of functionals

Hounkonnou, Mahouton Norbert · Sielenou, Pascal Dkengne

Original · EN

We prove both necessary and sufficient second order conditions of extrema for variational problems involving any higher order continuously twice differentiable Lagrangians with multi-valued dependent functions of several variables. Our analysis is performed in the framework of the finite dimensional total jet space.

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