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arXiv · 0912.0494

The delta-nabla calculus of variations

Agnieszka B. Malinowska·Delfim F. M. Torres
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Abstract

The discrete-time, the quantum, and the continuous calculus of variations have been recently unified and extended. Two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimization of nabla integrals. Here we propose a more general approach to the calculus of variations on time scales that allows to obtain both delta and nabla results as particular cases.

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Agnieszka B. Malinowska, Delfim F. M. Torres. 2009-12-02. The delta-nabla calculus of variations. https://arxiv.org/abs/0912.0494

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