A Scale Variational Principle of Herglotz

Ricardo Almeida

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arXiv · 1604.04297

A Scale Variational Principle of Herglotz

Ricardo Almeida

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Abstract

The Herglotz problem is a generalization of the fundamental problem of the calculus of variations. In this paper, we consider a class of non-differentiable functions, where the dynamics is described by a scale derivative. Necessary conditions are derived to determine the optimal solution for the problem. Some other problems are considered, like transversality conditions, the multi-dimensional case, higher-order derivatives and for several independent variables.

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Ricardo Almeida. 2016-04-09. A Scale Variational Principle of Herglotz. https://arxiv.org/abs/1604.04297

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