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arXiv · 1203.0264

Differential, integral, and variational delta-embeddings of Lagrangian systems

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

We introduce the differential, integral, and variational delta-embeddings. We prove that the integral delta-embedding of the Euler-Lagrange equations and the variational delta-embedding coincide on an arbitrary time scale. In particular, a new coherent embedding for the discrete calculus of variations that is compatible with the least action principle is obtained.

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Jacky Cresson, Agnieszka B. Malinowska, Delfim F. M. Torres. 2012-03-01. Differential, integral, and variational delta-embeddings of Lagrangian systems. https://doi.org/10.1016/j.camwa.2012.03.003

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