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A scale variational principle of Herglotz

By Ricardo Almeida


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

Topics: Calculus of variations, Scale derivative
Publisher: University of Debrecen, Hungary
Year: 2016
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