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arXiv · 1008.1332

General second order conditions for extrema of functionals

Mahouton Norbert Hounkonnou·Pascal Dkengne Sielenou
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Abstract

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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Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou. 2010-08-07. General second order conditions for extrema of functionals. https://arxiv.org/abs/1008.1332

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